%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PLA031-1.001 : TPTP v9.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:22:53 AM UTC 2025
% Result : Unsatisfiable 1.92s 2.11s
% Output : Proof 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PLA031-1.001 : TPTP v9.0.0. Released v3.5.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 02:24:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 1.92/2.11 % SZS status Unsatisfiable
% 1.92/2.11 % SZS output start Proof
% 1.92/2.11 tff(s_type, type, (
% 1.92/2.11 s: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 1.92/2.11 tff(s0_type, type, (
% 1.92/2.11 s0: $i)).
% 1.92/2.11 tff(s2_type, type, (
% 1.92/2.11 s2: $i)).
% 1.92/2.11 tff(p2_0_type, type, (
% 1.92/2.11 p2_0: $i)).
% 1.92/2.11 tff(s1_type, type, (
% 1.92/2.11 s1: $i)).
% 1.92/2.11 tff(truck1_type, type, (
% 1.92/2.11 truck1: $i)).
% 1.92/2.11 tff(truck2_type, type, (
% 1.92/2.11 truck2: $i)).
% 1.92/2.11 tff(p2_1_type, type, (
% 1.92/2.11 p2_1: $i)).
% 1.92/2.11 tff(neq_type, type, (
% 1.92/2.11 neq: ( $i * $i ) > $o)).
% 1.92/2.11 tff(link_type, type, (
% 1.92/2.11 link: ( $i * $i ) > $o)).
% 1.92/2.11 tff(path_type, type, (
% 1.92/2.11 path: ( $i * $i ) > $o)).
% 1.92/2.11 tff(1,assumption,(~s(truck2, truck2, truck2, s1, s1, s1)), introduced(assumption)).
% 1.92/2.11 tff(2,plain,
% 1.92/2.11 (s(s2, s2, s0, s1, s0, s2) <=> s(s2, s2, s0, s1, s0, s2)),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(3,axiom,(s(s2, s2, s0, s1, s0, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','init')).
% 1.92/2.11 tff(4,plain,
% 1.92/2.11 (s(s2, s2, s0, s1, s0, s2)),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[3, 2])).
% 1.92/2.11 tff(5,plain,
% 1.92/2.11 (neq(s1, truck1) <=> neq(s1, truck1)),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(6,axiom,(neq(s1, truck1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','neq25')).
% 1.92/2.11 tff(7,plain,
% 1.92/2.11 (neq(s1, truck1)),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.92/2.11 tff(8,plain,
% 1.92/2.11 (^[T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : refl((s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2))) <=> (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2))))),
% 1.92/2.11 inference(bind,[status(th)],[])).
% 1.92/2.11 tff(9,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2))) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(quant_intro,[status(thm)],[8])).
% 1.92/2.11 tff(10,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2))) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(11,plain,
% 1.92/2.11 (^[T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : trans(monotonicity(rewrite(((~s(O1, O2, L, D2, L, T2)) | (~neq(D2, truck1))) <=> ((~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))), ((((~s(O1, O2, L, D2, L, T2)) | (~neq(D2, truck1))) | s(O1, O2, truck1, D2, L, T2)) <=> (((~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2))) | s(O1, O2, truck1, D2, L, T2)))), rewrite((((~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2))) | s(O1, O2, truck1, D2, L, T2)) <=> (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))), ((((~s(O1, O2, L, D2, L, T2)) | (~neq(D2, truck1))) | s(O1, O2, truck1, D2, L, T2)) <=> (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))))),
% 1.92/2.11 inference(bind,[status(th)],[])).
% 1.92/2.11 tff(12,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (((~s(O1, O2, L, D2, L, T2)) | (~neq(D2, truck1))) | s(O1, O2, truck1, D2, L, T2)) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(quant_intro,[status(thm)],[11])).
% 1.92/2.11 tff(13,axiom,(![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (((~s(O1, O2, L, D2, L, T2)) | (~neq(D2, truck1))) | s(O1, O2, truck1, D2, L, T2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board1')).
% 1.92/2.11 tff(14,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[13, 12])).
% 1.92/2.11 tff(15,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[14, 10])).
% 1.92/2.11 tff(16,plain,(
% 1.92/2.11 ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(skolemize,[status(sab)],[15])).
% 1.92/2.11 tff(17,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[16, 9])).
% 1.92/2.11 tff(18,plain,
% 1.92/2.11 (((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (s(s2, s2, truck1, s1, s0, s2) | (~neq(s1, truck1)) | (~s(s2, s2, s0, s1, s0, s2)))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | s(s2, s2, truck1, s1, s0, s2) | (~neq(s1, truck1)) | (~s(s2, s2, s0, s1, s0, s2)))),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(19,plain,
% 1.92/2.11 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (s(s2, s2, truck1, s1, s0, s2) | (~neq(s1, truck1)) | (~s(s2, s2, s0, s1, s0, s2)))),
% 1.92/2.11 inference(quant_inst,[status(thm)],[])).
% 1.92/2.11 tff(20,plain,
% 1.92/2.11 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | s(s2, s2, truck1, s1, s0, s2) | (~neq(s1, truck1)) | (~s(s2, s2, s0, s1, s0, s2))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[19, 18])).
% 1.92/2.11 tff(21,plain,
% 1.92/2.11 (s(s2, s2, truck1, s1, s0, s2)),
% 1.92/2.11 inference(unit_resolution,[status(thm)],[20, 17, 7, 4])).
% 1.92/2.11 tff(22,plain,
% 1.92/2.11 (link(s0, s1) <=> link(s0, s1)),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(23,axiom,(link(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map13')).
% 1.92/2.11 tff(24,plain,
% 1.92/2.11 (link(s0, s1)),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[23, 22])).
% 1.92/2.11 tff(25,plain,
% 1.92/2.11 (^[T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : refl((s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2))) <=> (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2))))),
% 1.92/2.11 inference(bind,[status(th)],[])).
% 1.92/2.11 tff(26,plain,
% 1.92/2.11 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2))) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(quant_intro,[status(thm)],[25])).
% 1.92/2.11 tff(27,plain,
% 1.92/2.11 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2))) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(28,plain,
% 1.92/2.11 (^[T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : trans(monotonicity(rewrite(((~s(O1, O2, truck1, D2, S, T2)) | (~link(S, D))) <=> ((~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))), ((((~s(O1, O2, truck1, D2, S, T2)) | (~link(S, D))) | s(O1, O2, truck1, D2, D, T2)) <=> (((~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2))) | s(O1, O2, truck1, D2, D, T2)))), rewrite((((~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2))) | s(O1, O2, truck1, D2, D, T2)) <=> (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))), ((((~s(O1, O2, truck1, D2, S, T2)) | (~link(S, D))) | s(O1, O2, truck1, D2, D, T2)) <=> (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))))),
% 1.92/2.11 inference(bind,[status(th)],[])).
% 1.92/2.11 tff(29,plain,
% 1.92/2.11 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (((~s(O1, O2, truck1, D2, S, T2)) | (~link(S, D))) | s(O1, O2, truck1, D2, D, T2)) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(quant_intro,[status(thm)],[28])).
% 1.92/2.11 tff(30,axiom,(![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (((~s(O1, O2, truck1, D2, S, T2)) | (~link(S, D))) | s(O1, O2, truck1, D2, D, T2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','drive1')).
% 1.92/2.11 tff(31,plain,
% 1.92/2.11 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[30, 29])).
% 1.92/2.11 tff(32,plain,
% 1.92/2.11 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[31, 27])).
% 1.92/2.11 tff(33,plain,(
% 1.92/2.11 ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(skolemize,[status(sab)],[32])).
% 1.92/2.11 tff(34,plain,
% 1.92/2.11 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[33, 26])).
% 1.92/2.11 tff(35,plain,
% 1.92/2.11 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | ((~s(s2, s2, truck1, s1, s0, s2)) | s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (~s(s2, s2, truck1, s1, s0, s2)) | s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)))),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(36,plain,
% 1.92/2.11 ((s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)) | (~s(s2, s2, truck1, s1, s0, s2))) <=> ((~s(s2, s2, truck1, s1, s0, s2)) | s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)))),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(37,plain,
% 1.92/2.11 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)) | (~s(s2, s2, truck1, s1, s0, s2)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | ((~s(s2, s2, truck1, s1, s0, s2)) | s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1))))),
% 1.92/2.11 inference(monotonicity,[status(thm)],[36])).
% 1.92/2.11 tff(38,plain,
% 1.92/2.11 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)) | (~s(s2, s2, truck1, s1, s0, s2)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (~s(s2, s2, truck1, s1, s0, s2)) | s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)))),
% 1.92/2.11 inference(transitivity,[status(thm)],[37, 35])).
% 1.92/2.11 tff(39,plain,
% 1.92/2.11 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1)) | (~s(s2, s2, truck1, s1, s0, s2)))),
% 1.92/2.11 inference(quant_inst,[status(thm)],[])).
% 1.92/2.11 tff(40,plain,
% 1.92/2.11 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (~s(s2, s2, truck1, s1, s0, s2)) | s(s2, s2, truck1, s1, s1, s2) | (~link(s0, s1))),
% 1.92/2.11 inference(modus_ponens,[status(thm)],[39, 38])).
% 1.92/2.11 tff(41,plain,
% 1.92/2.11 (s(s2, s2, truck1, s1, s1, s2)),
% 1.92/2.11 inference(unit_resolution,[status(thm)],[40, 34, 24, 21])).
% 1.92/2.11 tff(42,plain,
% 1.92/2.11 (^[T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : refl(((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2)) <=> ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(bind,[status(th)],[])).
% 1.92/2.11 tff(43,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2)) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.11 inference(quant_intro,[status(thm)],[42])).
% 1.92/2.11 tff(44,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2)) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.11 inference(rewrite,[status(thm)],[])).
% 1.92/2.11 tff(45,plain,
% 1.92/2.11 (^[T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : rewrite((s(O1, O2, L, D2, L, T2) | (~s(O1, O2, truck1, D2, L, T2))) <=> ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2)))),
% 1.92/2.11 inference(bind,[status(th)],[])).
% 1.92/2.11 tff(46,plain,
% 1.92/2.11 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, L, D2, L, T2) | (~s(O1, O2, truck1, D2, L, T2))) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.12 inference(quant_intro,[status(thm)],[45])).
% 1.92/2.12 tff(47,axiom,(![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, L, D2, L, T2) | (~s(O1, O2, truck1, D2, L, T2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board2')).
% 1.92/2.12 tff(48,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[47, 46])).
% 1.92/2.12 tff(49,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[48, 44])).
% 1.92/2.12 tff(50,plain,(
% 1.92/2.12 ![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.12 inference(skolemize,[status(sab)],[49])).
% 1.92/2.12 tff(51,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[50, 43])).
% 1.92/2.12 tff(52,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | ((~s(s2, s2, truck1, s1, s1, s2)) | s(s2, s2, s1, s1, s1, s2))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | (~s(s2, s2, truck1, s1, s1, s2)) | s(s2, s2, s1, s1, s1, s2))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(53,plain,
% 1.92/2.12 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | ((~s(s2, s2, truck1, s1, s1, s2)) | s(s2, s2, s1, s1, s1, s2))),
% 1.92/2.12 inference(quant_inst,[status(thm)],[])).
% 1.92/2.12 tff(54,plain,
% 1.92/2.12 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | (~s(s2, s2, truck1, s1, s1, s2)) | s(s2, s2, s1, s1, s1, s2)),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[53, 52])).
% 1.92/2.12 tff(55,plain,
% 1.92/2.12 (s(s2, s2, s1, s1, s1, s2)),
% 1.92/2.12 inference(unit_resolution,[status(thm)],[54, 51, 41])).
% 1.92/2.12 tff(56,plain,
% 1.92/2.12 (^[T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : refl(((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2))) <=> ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2))))),
% 1.92/2.12 inference(bind,[status(th)],[])).
% 1.92/2.12 tff(57,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2))) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(quant_intro,[status(thm)],[56])).
% 1.92/2.12 tff(58,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2))) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(59,plain,
% 1.92/2.12 (^[T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, D1, L, L, T2)) | (~neq(D1, truck1))) <=> ((~neq(D1, truck1)) | (~s(O1, O2, D1, L, L, T2)))), ((((~s(O1, O2, D1, L, L, T2)) | (~neq(D1, truck1))) | s(O1, O2, D1, truck1, L, T2)) <=> (((~neq(D1, truck1)) | (~s(O1, O2, D1, L, L, T2))) | s(O1, O2, D1, truck1, L, T2)))), rewrite((((~neq(D1, truck1)) | (~s(O1, O2, D1, L, L, T2))) | s(O1, O2, D1, truck1, L, T2)) <=> ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))), ((((~s(O1, O2, D1, L, L, T2)) | (~neq(D1, truck1))) | s(O1, O2, D1, truck1, L, T2)) <=> ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))))),
% 1.92/2.12 inference(bind,[status(th)],[])).
% 1.92/2.12 tff(60,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : (((~s(O1, O2, D1, L, L, T2)) | (~neq(D1, truck1))) | s(O1, O2, D1, truck1, L, T2)) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(quant_intro,[status(thm)],[59])).
% 1.92/2.12 tff(61,axiom,(![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : (((~s(O1, O2, D1, L, L, T2)) | (~neq(D1, truck1))) | s(O1, O2, D1, truck1, L, T2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board5')).
% 1.92/2.12 tff(62,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[61, 60])).
% 1.92/2.12 tff(63,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[62, 58])).
% 1.92/2.12 tff(64,plain,(
% 1.92/2.12 ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(skolemize,[status(sab)],[63])).
% 1.92/2.12 tff(65,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[64, 57])).
% 1.92/2.12 tff(66,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | ((~neq(s1, truck1)) | (~s(s2, s2, s1, s1, s1, s2)) | s(s2, s2, s1, truck1, s1, s2))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | (~neq(s1, truck1)) | (~s(s2, s2, s1, s1, s1, s2)) | s(s2, s2, s1, truck1, s1, s2))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(67,plain,
% 1.92/2.12 (((~neq(s1, truck1)) | s(s2, s2, s1, truck1, s1, s2) | (~s(s2, s2, s1, s1, s1, s2))) <=> ((~neq(s1, truck1)) | (~s(s2, s2, s1, s1, s1, s2)) | s(s2, s2, s1, truck1, s1, s2))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(68,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | ((~neq(s1, truck1)) | s(s2, s2, s1, truck1, s1, s2) | (~s(s2, s2, s1, s1, s1, s2)))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | ((~neq(s1, truck1)) | (~s(s2, s2, s1, s1, s1, s2)) | s(s2, s2, s1, truck1, s1, s2)))),
% 1.92/2.12 inference(monotonicity,[status(thm)],[67])).
% 1.92/2.12 tff(69,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | ((~neq(s1, truck1)) | s(s2, s2, s1, truck1, s1, s2) | (~s(s2, s2, s1, s1, s1, s2)))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | (~neq(s1, truck1)) | (~s(s2, s2, s1, s1, s1, s2)) | s(s2, s2, s1, truck1, s1, s2))),
% 1.92/2.12 inference(transitivity,[status(thm)],[68, 66])).
% 1.92/2.12 tff(70,plain,
% 1.92/2.12 ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | ((~neq(s1, truck1)) | s(s2, s2, s1, truck1, s1, s2) | (~s(s2, s2, s1, s1, s1, s2)))),
% 1.92/2.12 inference(quant_inst,[status(thm)],[])).
% 1.92/2.12 tff(71,plain,
% 1.92/2.12 ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~neq(D1, truck1)) | s(O1, O2, D1, truck1, L, T2) | (~s(O1, O2, D1, L, L, T2)))) | (~neq(s1, truck1)) | (~s(s2, s2, s1, s1, s1, s2)) | s(s2, s2, s1, truck1, s1, s2)),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[70, 69])).
% 1.92/2.12 tff(72,plain,
% 1.92/2.12 (s(s2, s2, s1, truck1, s1, s2)),
% 1.92/2.12 inference(unit_resolution,[status(thm)],[71, 65, 7, 55])).
% 1.92/2.12 tff(73,plain,
% 1.92/2.12 (^[L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : refl(((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L)) <=> ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L)))),
% 1.92/2.12 inference(bind,[status(th)],[])).
% 1.92/2.12 tff(74,plain,
% 1.92/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L)) <=> ![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))),
% 1.92/2.12 inference(quant_intro,[status(thm)],[73])).
% 1.92/2.12 tff(75,plain,
% 1.92/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L)) <=> ![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(76,axiom,(![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','load7')).
% 1.92/2.12 tff(77,plain,
% 1.92/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[76, 75])).
% 1.92/2.12 tff(78,plain,(
% 1.92/2.12 ![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))),
% 1.92/2.12 inference(skolemize,[status(sab)],[77])).
% 1.92/2.12 tff(79,plain,
% 1.92/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[78, 74])).
% 1.92/2.12 tff(80,plain,
% 1.92/2.12 (((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | ((~s(s2, s2, s1, truck1, s1, s2)) | s(s2, truck2, s1, truck1, s1, s2))) <=> ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | (~s(s2, s2, s1, truck1, s1, s2)) | s(s2, truck2, s1, truck1, s1, s2))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(81,plain,
% 1.92/2.12 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | ((~s(s2, s2, s1, truck1, s1, s2)) | s(s2, truck2, s1, truck1, s1, s2))),
% 1.92/2.12 inference(quant_inst,[status(thm)],[])).
% 1.92/2.12 tff(82,plain,
% 1.92/2.12 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | (~s(s2, s2, s1, truck1, s1, s2)) | s(s2, truck2, s1, truck1, s1, s2)),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[81, 80])).
% 1.92/2.12 tff(83,plain,
% 1.92/2.12 (s(s2, truck2, s1, truck1, s1, s2)),
% 1.92/2.12 inference(unit_resolution,[status(thm)],[82, 79, 72])).
% 1.92/2.12 tff(84,plain,
% 1.92/2.12 (path(s1, p2_1) <=> path(s1, p2_1)),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(85,axiom,(path(s1, p2_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map11')).
% 1.92/2.12 tff(86,plain,
% 1.92/2.12 (path(s1, p2_1)),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[85, 84])).
% 1.92/2.12 tff(87,plain,
% 1.92/2.12 (^[T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : refl((s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2))) <=> (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2))))),
% 1.92/2.12 inference(bind,[status(th)],[])).
% 1.92/2.12 tff(88,plain,
% 1.92/2.12 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2))) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(quant_intro,[status(thm)],[87])).
% 1.92/2.12 tff(89,plain,
% 1.92/2.12 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2))) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(90,plain,
% 1.92/2.12 (^[T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, S, D2, T1, T2)) | (~path(S, D))) <=> ((~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))), ((((~s(O1, O2, S, D2, T1, T2)) | (~path(S, D))) | s(O1, O2, D, D2, T1, T2)) <=> (((~path(S, D)) | (~s(O1, O2, S, D2, T1, T2))) | s(O1, O2, D, D2, T1, T2)))), rewrite((((~path(S, D)) | (~s(O1, O2, S, D2, T1, T2))) | s(O1, O2, D, D2, T1, T2)) <=> (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))), ((((~s(O1, O2, S, D2, T1, T2)) | (~path(S, D))) | s(O1, O2, D, D2, T1, T2)) <=> (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))))),
% 1.92/2.12 inference(bind,[status(th)],[])).
% 1.92/2.12 tff(91,plain,
% 1.92/2.12 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (((~s(O1, O2, S, D2, T1, T2)) | (~path(S, D))) | s(O1, O2, D, D2, T1, T2)) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(quant_intro,[status(thm)],[90])).
% 1.92/2.12 tff(92,axiom,(![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (((~s(O1, O2, S, D2, T1, T2)) | (~path(S, D))) | s(O1, O2, D, D2, T1, T2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','walk1')).
% 1.92/2.12 tff(93,plain,
% 1.92/2.12 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[92, 91])).
% 1.92/2.12 tff(94,plain,
% 1.92/2.12 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[93, 89])).
% 1.92/2.12 tff(95,plain,(
% 1.92/2.12 ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(skolemize,[status(sab)],[94])).
% 1.92/2.12 tff(96,plain,
% 1.92/2.12 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[95, 88])).
% 1.92/2.12 tff(97,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | ((~s(s2, truck2, s1, truck1, s1, s2)) | (~path(s1, p2_1)) | s(s2, truck2, p2_1, truck1, s1, s2))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (~s(s2, truck2, s1, truck1, s1, s2)) | (~path(s1, p2_1)) | s(s2, truck2, p2_1, truck1, s1, s2))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(98,plain,
% 1.92/2.12 ((s(s2, truck2, p2_1, truck1, s1, s2) | (~path(s1, p2_1)) | (~s(s2, truck2, s1, truck1, s1, s2))) <=> ((~s(s2, truck2, s1, truck1, s1, s2)) | (~path(s1, p2_1)) | s(s2, truck2, p2_1, truck1, s1, s2))),
% 1.92/2.12 inference(rewrite,[status(thm)],[])).
% 1.92/2.12 tff(99,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (s(s2, truck2, p2_1, truck1, s1, s2) | (~path(s1, p2_1)) | (~s(s2, truck2, s1, truck1, s1, s2)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | ((~s(s2, truck2, s1, truck1, s1, s2)) | (~path(s1, p2_1)) | s(s2, truck2, p2_1, truck1, s1, s2)))),
% 1.92/2.12 inference(monotonicity,[status(thm)],[98])).
% 1.92/2.12 tff(100,plain,
% 1.92/2.12 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (s(s2, truck2, p2_1, truck1, s1, s2) | (~path(s1, p2_1)) | (~s(s2, truck2, s1, truck1, s1, s2)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (~s(s2, truck2, s1, truck1, s1, s2)) | (~path(s1, p2_1)) | s(s2, truck2, p2_1, truck1, s1, s2))),
% 1.92/2.12 inference(transitivity,[status(thm)],[99, 97])).
% 1.92/2.12 tff(101,plain,
% 1.92/2.12 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (s(s2, truck2, p2_1, truck1, s1, s2) | (~path(s1, p2_1)) | (~s(s2, truck2, s1, truck1, s1, s2)))),
% 1.92/2.12 inference(quant_inst,[status(thm)],[])).
% 1.92/2.12 tff(102,plain,
% 1.92/2.12 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (~s(s2, truck2, s1, truck1, s1, s2)) | (~path(s1, p2_1)) | s(s2, truck2, p2_1, truck1, s1, s2)),
% 1.92/2.12 inference(modus_ponens,[status(thm)],[101, 100])).
% 1.92/2.12 tff(103,plain,
% 1.92/2.12 (s(s2, truck2, p2_1, truck1, s1, s2)),
% 1.92/2.12 inference(unit_resolution,[status(thm)],[102, 96, 86, 83])).
% 1.92/2.12 tff(104,plain,
% 1.92/2.12 (^[T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : refl(((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2)) <=> ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2)))),
% 1.92/2.12 inference(bind,[status(th)],[])).
% 1.92/2.12 tff(105,plain,
% 1.92/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2)) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(quant_intro,[status(thm)],[104])).
% 1.96/2.12 tff(106,plain,
% 1.96/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2)) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(107,plain,
% 1.96/2.12 (^[T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : rewrite((s(O1, O2, D1, L, L, T2) | (~s(O1, O2, D1, truck1, L, T2))) <=> ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2)))),
% 1.96/2.12 inference(bind,[status(th)],[])).
% 1.96/2.12 tff(108,plain,
% 1.96/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : (s(O1, O2, D1, L, L, T2) | (~s(O1, O2, D1, truck1, L, T2))) <=> ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(quant_intro,[status(thm)],[107])).
% 1.96/2.12 tff(109,axiom,(![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : (s(O1, O2, D1, L, L, T2) | (~s(O1, O2, D1, truck1, L, T2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board6')).
% 1.96/2.12 tff(110,plain,
% 1.96/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[109, 108])).
% 1.96/2.12 tff(111,plain,
% 1.96/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[110, 106])).
% 1.96/2.12 tff(112,plain,(
% 1.96/2.12 ![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(skolemize,[status(sab)],[111])).
% 1.96/2.12 tff(113,plain,
% 1.96/2.12 (![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[112, 105])).
% 1.96/2.12 tff(114,plain,
% 1.96/2.12 (((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))) | ((~s(s2, truck2, p2_1, truck1, s1, s2)) | s(s2, truck2, p2_1, s1, s1, s2))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))) | (~s(s2, truck2, p2_1, truck1, s1, s2)) | s(s2, truck2, p2_1, s1, s1, s2))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(115,plain,
% 1.96/2.12 ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))) | ((~s(s2, truck2, p2_1, truck1, s1, s2)) | s(s2, truck2, p2_1, s1, s1, s2))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(116,plain,
% 1.96/2.12 ((~![T2: $i, O2: $i, L: $i, O1: $i, D1: $i] : ((~s(O1, O2, D1, truck1, L, T2)) | s(O1, O2, D1, L, L, T2))) | (~s(s2, truck2, p2_1, truck1, s1, s2)) | s(s2, truck2, p2_1, s1, s1, s2)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[115, 114])).
% 1.96/2.12 tff(117,plain,
% 1.96/2.12 (s(s2, truck2, p2_1, s1, s1, s2)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[116, 113, 103])).
% 1.96/2.12 tff(118,plain,
% 1.96/2.12 (^[L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : refl((s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L))) <=> (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L))))),
% 1.96/2.12 inference(bind,[status(th)],[])).
% 1.96/2.12 tff(119,plain,
% 1.96/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L))) <=> ![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))),
% 1.96/2.12 inference(quant_intro,[status(thm)],[118])).
% 1.96/2.12 tff(120,plain,
% 1.96/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L))) <=> ![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(121,axiom,(![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','load8')).
% 1.96/2.12 tff(122,plain,
% 1.96/2.12 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[121, 120])).
% 1.96/2.12 tff(123,plain,(
% 1.96/2.12 ![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))),
% 1.96/2.13 inference(skolemize,[status(sab)],[122])).
% 1.96/2.13 tff(124,plain,
% 1.96/2.13 (![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[123, 119])).
% 1.96/2.13 tff(125,plain,
% 1.96/2.13 (((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | (s(s2, s2, p2_1, s1, s1, s2) | (~s(s2, truck2, p2_1, s1, s1, s2)))) <=> ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | s(s2, s2, p2_1, s1, s1, s2) | (~s(s2, truck2, p2_1, s1, s1, s2)))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(126,plain,
% 1.96/2.13 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | (s(s2, s2, p2_1, s1, s1, s2) | (~s(s2, truck2, p2_1, s1, s1, s2)))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(127,plain,
% 1.96/2.13 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | s(s2, s2, p2_1, s1, s1, s2) | (~s(s2, truck2, p2_1, s1, s1, s2))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[126, 125])).
% 1.96/2.13 tff(128,plain,
% 1.96/2.13 (s(s2, s2, p2_1, s1, s1, s2)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[127, 124, 117])).
% 1.96/2.13 tff(129,plain,
% 1.96/2.13 (path(p2_1, s2) <=> path(p2_1, s2)),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(130,axiom,(path(p2_1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map10')).
% 1.96/2.13 tff(131,plain,
% 1.96/2.13 (path(p2_1, s2)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[130, 129])).
% 1.96/2.13 tff(132,plain,
% 1.96/2.13 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | ((~s(s2, s2, p2_1, s1, s1, s2)) | (~path(p2_1, s2)) | s(s2, s2, s2, s1, s1, s2))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (~s(s2, s2, p2_1, s1, s1, s2)) | (~path(p2_1, s2)) | s(s2, s2, s2, s1, s1, s2))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(133,plain,
% 1.96/2.13 ((s(s2, s2, s2, s1, s1, s2) | (~path(p2_1, s2)) | (~s(s2, s2, p2_1, s1, s1, s2))) <=> ((~s(s2, s2, p2_1, s1, s1, s2)) | (~path(p2_1, s2)) | s(s2, s2, s2, s1, s1, s2))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(134,plain,
% 1.96/2.13 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (s(s2, s2, s2, s1, s1, s2) | (~path(p2_1, s2)) | (~s(s2, s2, p2_1, s1, s1, s2)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | ((~s(s2, s2, p2_1, s1, s1, s2)) | (~path(p2_1, s2)) | s(s2, s2, s2, s1, s1, s2)))),
% 1.96/2.13 inference(monotonicity,[status(thm)],[133])).
% 1.96/2.13 tff(135,plain,
% 1.96/2.13 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (s(s2, s2, s2, s1, s1, s2) | (~path(p2_1, s2)) | (~s(s2, s2, p2_1, s1, s1, s2)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (~s(s2, s2, p2_1, s1, s1, s2)) | (~path(p2_1, s2)) | s(s2, s2, s2, s1, s1, s2))),
% 1.96/2.13 inference(transitivity,[status(thm)],[134, 132])).
% 1.96/2.13 tff(136,plain,
% 1.96/2.13 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (s(s2, s2, s2, s1, s1, s2) | (~path(p2_1, s2)) | (~s(s2, s2, p2_1, s1, s1, s2)))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(137,plain,
% 1.96/2.13 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, D, D2, T1, T2) | (~path(S, D)) | (~s(O1, O2, S, D2, T1, T2)))) | (~s(s2, s2, p2_1, s1, s1, s2)) | (~path(p2_1, s2)) | s(s2, s2, s2, s1, s1, s2)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[136, 135])).
% 1.96/2.13 tff(138,plain,
% 1.96/2.13 (s(s2, s2, s2, s1, s1, s2)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[137, 96, 131, 128])).
% 1.96/2.13 tff(139,plain,
% 1.96/2.13 (neq(s1, truck2) <=> neq(s1, truck2)),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(140,axiom,(neq(s1, truck2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','neq26')).
% 1.96/2.13 tff(141,plain,
% 1.96/2.13 (neq(s1, truck2)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[140, 139])).
% 1.96/2.13 tff(142,plain,
% 1.96/2.13 (^[O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : refl((s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L))) <=> (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L))))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(143,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L))) <=> ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[142])).
% 1.96/2.13 tff(144,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L))) <=> ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(145,plain,
% 1.96/2.13 (^[O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, L, D2, T1, L)) | (~neq(D2, truck2))) <=> ((~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))), ((((~s(O1, O2, L, D2, T1, L)) | (~neq(D2, truck2))) | s(O1, O2, truck2, D2, T1, L)) <=> (((~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L))) | s(O1, O2, truck2, D2, T1, L)))), rewrite((((~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L))) | s(O1, O2, truck2, D2, T1, L)) <=> (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))), ((((~s(O1, O2, L, D2, T1, L)) | (~neq(D2, truck2))) | s(O1, O2, truck2, D2, T1, L)) <=> (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(146,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (((~s(O1, O2, L, D2, T1, L)) | (~neq(D2, truck2))) | s(O1, O2, truck2, D2, T1, L)) <=> ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[145])).
% 1.96/2.13 tff(147,axiom,(![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (((~s(O1, O2, L, D2, T1, L)) | (~neq(D2, truck2))) | s(O1, O2, truck2, D2, T1, L))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board3')).
% 1.96/2.13 tff(148,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[147, 146])).
% 1.96/2.13 tff(149,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[148, 144])).
% 1.96/2.13 tff(150,plain,(
% 1.96/2.13 ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(skolemize,[status(sab)],[149])).
% 1.96/2.13 tff(151,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[150, 143])).
% 1.96/2.13 tff(152,plain,
% 1.96/2.13 (((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | ((~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)) | s(s2, s2, truck2, s1, s1, s2))) <=> ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)) | s(s2, s2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(153,plain,
% 1.96/2.13 ((s(s2, s2, truck2, s1, s1, s2) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2))) <=> ((~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)) | s(s2, s2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(154,plain,
% 1.96/2.13 (((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | (s(s2, s2, truck2, s1, s1, s2) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)))) <=> ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | ((~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)) | s(s2, s2, truck2, s1, s1, s2)))),
% 1.96/2.13 inference(monotonicity,[status(thm)],[153])).
% 1.96/2.13 tff(155,plain,
% 1.96/2.13 (((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | (s(s2, s2, truck2, s1, s1, s2) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)))) <=> ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)) | s(s2, s2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(transitivity,[status(thm)],[154, 152])).
% 1.96/2.13 tff(156,plain,
% 1.96/2.13 ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | (s(s2, s2, truck2, s1, s1, s2) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(157,plain,
% 1.96/2.13 ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, L) | (~neq(D2, truck2)) | (~s(O1, O2, L, D2, T1, L)))) | (~neq(s1, truck2)) | (~s(s2, s2, s2, s1, s1, s2)) | s(s2, s2, truck2, s1, s1, s2)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[156, 155])).
% 1.96/2.13 tff(158,plain,
% 1.96/2.13 (s(s2, s2, truck2, s1, s1, s2)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[157, 151, 141, 138])).
% 1.96/2.13 tff(159,plain,
% 1.96/2.13 (((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | ((~s(s2, s2, truck2, s1, s1, s2)) | s(s2, truck2, truck2, s1, s1, s2))) <=> ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | (~s(s2, s2, truck2, s1, s1, s2)) | s(s2, truck2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(160,plain,
% 1.96/2.13 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | ((~s(s2, s2, truck2, s1, s1, s2)) | s(s2, truck2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(161,plain,
% 1.96/2.13 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : ((~s(O1, L, D1, D2, T1, L)) | s(O1, truck2, D1, D2, T1, L))) | (~s(s2, s2, truck2, s1, s1, s2)) | s(s2, truck2, truck2, s1, s1, s2)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[160, 159])).
% 1.96/2.13 tff(162,plain,
% 1.96/2.13 (s(s2, truck2, truck2, s1, s1, s2)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[161, 79, 158])).
% 1.96/2.13 tff(163,plain,
% 1.96/2.13 (^[O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : refl(((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L)) <=> ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L)))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(164,plain,
% 1.96/2.13 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L)) <=> ![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[163])).
% 1.96/2.13 tff(165,plain,
% 1.96/2.13 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L)) <=> ![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(166,axiom,(![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','load3')).
% 1.96/2.13 tff(167,plain,
% 1.96/2.13 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[166, 165])).
% 1.96/2.13 tff(168,plain,(
% 1.96/2.13 ![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))),
% 1.96/2.13 inference(skolemize,[status(sab)],[167])).
% 1.96/2.13 tff(169,plain,
% 1.96/2.13 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[168, 164])).
% 1.96/2.13 tff(170,plain,
% 1.96/2.13 (((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))) | ((~s(s2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s2))) <=> ((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))) | (~s(s2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(171,plain,
% 1.96/2.13 ((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))) | ((~s(s2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s2))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(172,plain,
% 1.96/2.13 ((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : ((~s(L, O2, D1, D2, T1, L)) | s(truck2, O2, D1, D2, T1, L))) | (~s(s2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s2)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[171, 170])).
% 1.96/2.13 tff(173,plain,
% 1.96/2.13 (s(truck2, truck2, truck2, s1, s1, s2)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[172, 169, 162])).
% 1.96/2.13 tff(174,plain,
% 1.96/2.13 (link(s2, s1) <=> link(s2, s1)),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(175,axiom,(link(s2, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map18')).
% 1.96/2.13 tff(176,plain,
% 1.96/2.13 (link(s2, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[175, 174])).
% 1.96/2.13 tff(177,plain,
% 1.96/2.13 (^[O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : refl((s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S))) <=> (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S))))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(178,plain,
% 1.96/2.13 (![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S))) <=> ![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[177])).
% 1.96/2.13 tff(179,plain,
% 1.96/2.13 (![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S))) <=> ![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(180,plain,
% 1.96/2.13 (^[O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, truck2, D2, T1, S)) | (~link(S, D))) <=> ((~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))), ((((~s(O1, O2, truck2, D2, T1, S)) | (~link(S, D))) | s(O1, O2, truck2, D2, T1, D)) <=> (((~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S))) | s(O1, O2, truck2, D2, T1, D)))), rewrite((((~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S))) | s(O1, O2, truck2, D2, T1, D)) <=> (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))), ((((~s(O1, O2, truck2, D2, T1, S)) | (~link(S, D))) | s(O1, O2, truck2, D2, T1, D)) <=> (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(181,plain,
% 1.96/2.13 (![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (((~s(O1, O2, truck2, D2, T1, S)) | (~link(S, D))) | s(O1, O2, truck2, D2, T1, D)) <=> ![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[180])).
% 1.96/2.13 tff(182,axiom,(![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (((~s(O1, O2, truck2, D2, T1, S)) | (~link(S, D))) | s(O1, O2, truck2, D2, T1, D))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','drive2')).
% 1.96/2.13 tff(183,plain,
% 1.96/2.13 (![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[182, 181])).
% 1.96/2.13 tff(184,plain,
% 1.96/2.13 (![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[183, 179])).
% 1.96/2.13 tff(185,plain,(
% 1.96/2.13 ![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(skolemize,[status(sab)],[184])).
% 1.96/2.13 tff(186,plain,
% 1.96/2.13 (![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[185, 178])).
% 1.96/2.13 tff(187,plain,
% 1.96/2.13 (((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | ((~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s1))) <=> ((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(188,plain,
% 1.96/2.13 ((s(truck2, truck2, truck2, s1, s1, s1) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2))) <=> ((~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(189,plain,
% 1.96/2.13 (((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | (s(truck2, truck2, truck2, s1, s1, s1) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)))) <=> ((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | ((~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s1)))),
% 1.96/2.13 inference(monotonicity,[status(thm)],[188])).
% 1.96/2.13 tff(190,plain,
% 1.96/2.13 (((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | (s(truck2, truck2, truck2, s1, s1, s1) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)))) <=> ((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s1))),
% 1.96/2.13 inference(transitivity,[status(thm)],[189, 187])).
% 1.96/2.13 tff(191,plain,
% 1.96/2.13 ((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | (s(truck2, truck2, truck2, s1, s1, s1) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(192,plain,
% 1.96/2.13 ((~![O2: $i, D: $i, S: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, truck2, D2, T1, D) | (~link(S, D)) | (~s(O1, O2, truck2, D2, T1, S)))) | (~link(s2, s1)) | (~s(truck2, truck2, truck2, s1, s1, s2)) | s(truck2, truck2, truck2, s1, s1, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.96/2.13 tff(193,plain,
% 1.96/2.13 ($false),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[192, 186, 176, 173, 1])).
% 1.96/2.13 tff(194,plain,(s(truck2, truck2, truck2, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.13 tff(195,plain,
% 1.96/2.13 (^[O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : refl(((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L)) <=> ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(196,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L)) <=> ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[195])).
% 1.96/2.13 tff(197,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L)) <=> ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(198,plain,
% 1.96/2.13 (^[O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : rewrite((s(O1, O2, L, D2, T1, L) | (~s(O1, O2, truck2, D2, T1, L))) <=> ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L)))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(199,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, L, D2, T1, L) | (~s(O1, O2, truck2, D2, T1, L))) <=> ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[198])).
% 1.96/2.13 tff(200,axiom,(![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : (s(O1, O2, L, D2, T1, L) | (~s(O1, O2, truck2, D2, T1, L)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board4')).
% 1.96/2.13 tff(201,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[200, 199])).
% 1.96/2.13 tff(202,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[201, 197])).
% 1.96/2.13 tff(203,plain,(
% 1.96/2.13 ![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(skolemize,[status(sab)],[202])).
% 1.96/2.13 tff(204,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[203, 196])).
% 1.96/2.13 tff(205,plain,
% 1.96/2.13 (((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))) | ((~s(truck2, truck2, truck2, s1, s1, s1)) | s(truck2, truck2, s1, s1, s1, s1))) <=> ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))) | (~s(truck2, truck2, truck2, s1, s1, s1)) | s(truck2, truck2, s1, s1, s1, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(206,plain,
% 1.96/2.13 ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))) | ((~s(truck2, truck2, truck2, s1, s1, s1)) | s(truck2, truck2, s1, s1, s1, s1))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(207,plain,
% 1.96/2.13 ((~![O2: $i, L: $i, O1: $i, D2: $i, T1: $i] : ((~s(O1, O2, truck2, D2, T1, L)) | s(O1, O2, L, D2, T1, L))) | (~s(truck2, truck2, truck2, s1, s1, s1)) | s(truck2, truck2, s1, s1, s1, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[206, 205])).
% 1.96/2.13 tff(208,plain,
% 1.96/2.13 (s(truck2, truck2, s1, s1, s1, s1)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[207, 204, 194])).
% 1.96/2.13 tff(209,plain,
% 1.96/2.13 (^[O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : refl((s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L))) <=> (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L))))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(210,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L))) <=> ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.13 inference(quant_intro,[status(thm)],[209])).
% 1.96/2.13 tff(211,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L))) <=> ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(212,plain,
% 1.96/2.13 (^[O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, D1, L, T1, L)) | (~neq(D1, truck2))) <=> ((~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))), ((((~s(O1, O2, D1, L, T1, L)) | (~neq(D1, truck2))) | s(O1, O2, D1, truck2, T1, L)) <=> (((~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L))) | s(O1, O2, D1, truck2, T1, L)))), rewrite((((~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L))) | s(O1, O2, D1, truck2, T1, L)) <=> (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))), ((((~s(O1, O2, D1, L, T1, L)) | (~neq(D1, truck2))) | s(O1, O2, D1, truck2, T1, L)) <=> (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))))),
% 1.96/2.13 inference(bind,[status(th)],[])).
% 1.96/2.13 tff(213,plain,
% 1.96/2.13 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (((~s(O1, O2, D1, L, T1, L)) | (~neq(D1, truck2))) | s(O1, O2, D1, truck2, T1, L)) <=> ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.14 inference(quant_intro,[status(thm)],[212])).
% 1.96/2.14 tff(214,axiom,(![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (((~s(O1, O2, D1, L, T1, L)) | (~neq(D1, truck2))) | s(O1, O2, D1, truck2, T1, L))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board7')).
% 1.96/2.14 tff(215,plain,
% 1.96/2.14 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[214, 213])).
% 1.96/2.14 tff(216,plain,
% 1.96/2.14 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[215, 211])).
% 1.96/2.14 tff(217,plain,(
% 1.96/2.14 ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.14 inference(skolemize,[status(sab)],[216])).
% 1.96/2.14 tff(218,plain,
% 1.96/2.14 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[217, 210])).
% 1.96/2.14 tff(219,plain,
% 1.96/2.14 (((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | ((~neq(s1, truck2)) | s(truck2, truck2, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, s1, s1, s1)))) <=> ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | (~neq(s1, truck2)) | s(truck2, truck2, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, s1, s1, s1)))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(220,plain,
% 1.96/2.14 ((s(truck2, truck2, s1, truck2, s1, s1) | (~neq(s1, truck2)) | (~s(truck2, truck2, s1, s1, s1, s1))) <=> ((~neq(s1, truck2)) | s(truck2, truck2, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, s1, s1, s1)))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(221,plain,
% 1.96/2.14 (((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | (s(truck2, truck2, s1, truck2, s1, s1) | (~neq(s1, truck2)) | (~s(truck2, truck2, s1, s1, s1, s1)))) <=> ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | ((~neq(s1, truck2)) | s(truck2, truck2, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, s1, s1, s1))))),
% 1.96/2.14 inference(monotonicity,[status(thm)],[220])).
% 1.96/2.14 tff(222,plain,
% 1.96/2.14 (((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | (s(truck2, truck2, s1, truck2, s1, s1) | (~neq(s1, truck2)) | (~s(truck2, truck2, s1, s1, s1, s1)))) <=> ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | (~neq(s1, truck2)) | s(truck2, truck2, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, s1, s1, s1)))),
% 1.96/2.14 inference(transitivity,[status(thm)],[221, 219])).
% 1.96/2.14 tff(223,plain,
% 1.96/2.14 ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | (s(truck2, truck2, s1, truck2, s1, s1) | (~neq(s1, truck2)) | (~s(truck2, truck2, s1, s1, s1, s1)))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(224,plain,
% 1.96/2.14 ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, truck2, T1, L) | (~neq(D1, truck2)) | (~s(O1, O2, D1, L, T1, L)))) | (~neq(s1, truck2)) | s(truck2, truck2, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, s1, s1, s1))),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[223, 222])).
% 1.96/2.14 tff(225,plain,
% 1.96/2.14 (s(truck2, truck2, s1, truck2, s1, s1)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[224, 218, 141, 208])).
% 1.96/2.14 tff(226,plain,
% 1.96/2.14 (((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | (s(truck2, s1, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, truck2, s1, s1)))) <=> ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | s(truck2, s1, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, truck2, s1, s1)))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(227,plain,
% 1.98/2.14 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | (s(truck2, s1, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, truck2, s1, s1)))),
% 1.98/2.14 inference(quant_inst,[status(thm)],[])).
% 1.98/2.14 tff(228,plain,
% 1.98/2.14 ((~![L: $i, O1: $i, D2: $i, T1: $i, D1: $i] : (s(O1, L, D1, D2, T1, L) | (~s(O1, truck2, D1, D2, T1, L)))) | s(truck2, s1, s1, truck2, s1, s1) | (~s(truck2, truck2, s1, truck2, s1, s1))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[227, 226])).
% 1.98/2.14 tff(229,plain,
% 1.98/2.14 (s(truck2, s1, s1, truck2, s1, s1)),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[228, 124, 225])).
% 1.98/2.14 tff(230,plain,
% 1.98/2.14 (^[O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : refl((s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L))) <=> (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L))))),
% 1.98/2.14 inference(bind,[status(th)],[])).
% 1.98/2.14 tff(231,plain,
% 1.98/2.14 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L))) <=> ![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))),
% 1.98/2.14 inference(quant_intro,[status(thm)],[230])).
% 1.98/2.14 tff(232,plain,
% 1.98/2.14 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L))) <=> ![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(233,axiom,(![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','load4')).
% 1.98/2.14 tff(234,plain,
% 1.98/2.14 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[233, 232])).
% 1.98/2.14 tff(235,plain,(
% 1.98/2.14 ![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))),
% 1.98/2.14 inference(skolemize,[status(sab)],[234])).
% 1.98/2.14 tff(236,plain,
% 1.98/2.14 (![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[235, 231])).
% 1.98/2.14 tff(237,plain,
% 1.98/2.14 (((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))) | (s(s1, s1, s1, truck2, s1, s1) | (~s(truck2, s1, s1, truck2, s1, s1)))) <=> ((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))) | s(s1, s1, s1, truck2, s1, s1) | (~s(truck2, s1, s1, truck2, s1, s1)))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(238,plain,
% 1.98/2.14 ((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))) | (s(s1, s1, s1, truck2, s1, s1) | (~s(truck2, s1, s1, truck2, s1, s1)))),
% 1.98/2.14 inference(quant_inst,[status(thm)],[])).
% 1.98/2.14 tff(239,plain,
% 1.98/2.14 ((~![O2: $i, L: $i, D2: $i, T1: $i, D1: $i] : (s(L, O2, D1, D2, T1, L) | (~s(truck2, O2, D1, D2, T1, L)))) | s(s1, s1, s1, truck2, s1, s1) | (~s(truck2, s1, s1, truck2, s1, s1))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[238, 237])).
% 1.98/2.14 tff(240,plain,
% 1.98/2.14 (s(s1, s1, s1, truck2, s1, s1)),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[239, 236, 229])).
% 1.98/2.14 tff(241,plain,
% 1.98/2.14 (link(s1, s0) <=> link(s1, s0)),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(242,axiom,(link(s1, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map14')).
% 1.98/2.14 tff(243,plain,
% 1.98/2.14 (link(s1, s0)),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[242, 241])).
% 1.98/2.14 tff(244,plain,
% 1.98/2.14 (^[O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : refl(((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S))) <=> ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S))))),
% 1.98/2.14 inference(bind,[status(th)],[])).
% 1.98/2.14 tff(245,plain,
% 1.98/2.14 (![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S))) <=> ![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(quant_intro,[status(thm)],[244])).
% 1.98/2.14 tff(246,plain,
% 1.98/2.14 (![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S))) <=> ![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(247,plain,
% 1.98/2.14 (^[O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, D1, truck2, T1, S)) | (~link(S, D))) <=> ((~link(S, D)) | (~s(O1, O2, D1, truck2, T1, S)))), ((((~s(O1, O2, D1, truck2, T1, S)) | (~link(S, D))) | s(O1, O2, D1, truck2, T1, D)) <=> (((~link(S, D)) | (~s(O1, O2, D1, truck2, T1, S))) | s(O1, O2, D1, truck2, T1, D)))), rewrite((((~link(S, D)) | (~s(O1, O2, D1, truck2, T1, S))) | s(O1, O2, D1, truck2, T1, D)) <=> ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))), ((((~s(O1, O2, D1, truck2, T1, S)) | (~link(S, D))) | s(O1, O2, D1, truck2, T1, D)) <=> ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))))),
% 1.98/2.14 inference(bind,[status(th)],[])).
% 1.98/2.14 tff(248,plain,
% 1.98/2.14 (![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : (((~s(O1, O2, D1, truck2, T1, S)) | (~link(S, D))) | s(O1, O2, D1, truck2, T1, D)) <=> ![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(quant_intro,[status(thm)],[247])).
% 1.98/2.14 tff(249,axiom,(![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : (((~s(O1, O2, D1, truck2, T1, S)) | (~link(S, D))) | s(O1, O2, D1, truck2, T1, D))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','drive4')).
% 1.98/2.14 tff(250,plain,
% 1.98/2.14 (![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[249, 248])).
% 1.98/2.14 tff(251,plain,
% 1.98/2.14 (![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[250, 246])).
% 1.98/2.14 tff(252,plain,(
% 1.98/2.14 ![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(skolemize,[status(sab)],[251])).
% 1.98/2.14 tff(253,plain,
% 1.98/2.14 (![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[252, 245])).
% 1.98/2.14 tff(254,plain,
% 1.98/2.14 (((~![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))) | ((~link(s1, s0)) | s(s1, s1, s1, truck2, s1, s0) | (~s(s1, s1, s1, truck2, s1, s1)))) <=> ((~![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))) | (~link(s1, s0)) | s(s1, s1, s1, truck2, s1, s0) | (~s(s1, s1, s1, truck2, s1, s1)))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(255,plain,
% 1.98/2.14 ((~![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))) | ((~link(s1, s0)) | s(s1, s1, s1, truck2, s1, s0) | (~s(s1, s1, s1, truck2, s1, s1)))),
% 1.98/2.14 inference(quant_inst,[status(thm)],[])).
% 1.98/2.14 tff(256,plain,
% 1.98/2.14 ((~![O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~link(S, D)) | s(O1, O2, D1, truck2, T1, D) | (~s(O1, O2, D1, truck2, T1, S)))) | (~link(s1, s0)) | s(s1, s1, s1, truck2, s1, s0) | (~s(s1, s1, s1, truck2, s1, s1))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[255, 254])).
% 1.98/2.14 tff(257,plain,
% 1.98/2.14 (s(s1, s1, s1, truck2, s1, s0) | (~s(s1, s1, s1, truck2, s1, s1))),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[256, 253, 243])).
% 1.98/2.14 tff(258,plain,
% 1.98/2.14 (s(s1, s1, s1, truck2, s1, s0)),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[257, 240])).
% 1.98/2.14 tff(259,plain,
% 1.98/2.14 (neq(truck2, truck1) <=> neq(truck2, truck1)),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(260,axiom,(neq(truck2, truck1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','neq9')).
% 1.98/2.14 tff(261,plain,
% 1.98/2.14 (neq(truck2, truck1)),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[260, 259])).
% 1.98/2.14 tff(262,plain,
% 1.98/2.14 (((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | ((~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)) | s(s1, s1, truck1, truck2, s1, s0))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)) | s(s1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(263,plain,
% 1.98/2.14 ((s(s1, s1, truck1, truck2, s1, s0) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0))) <=> ((~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)) | s(s1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(264,plain,
% 1.98/2.14 (((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (s(s1, s1, truck1, truck2, s1, s0) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | ((~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)) | s(s1, s1, truck1, truck2, s1, s0)))),
% 1.98/2.14 inference(monotonicity,[status(thm)],[263])).
% 1.98/2.14 tff(265,plain,
% 1.98/2.14 (((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (s(s1, s1, truck1, truck2, s1, s0) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)) | s(s1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(transitivity,[status(thm)],[264, 262])).
% 1.98/2.14 tff(266,plain,
% 1.98/2.14 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (s(s1, s1, truck1, truck2, s1, s0) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)))),
% 1.98/2.14 inference(quant_inst,[status(thm)],[])).
% 1.98/2.14 tff(267,plain,
% 1.98/2.14 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, L, T2) | (~neq(D2, truck1)) | (~s(O1, O2, L, D2, L, T2)))) | (~neq(truck2, truck1)) | (~s(s1, s1, s1, truck2, s1, s0)) | s(s1, s1, truck1, truck2, s1, s0)),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[266, 265])).
% 1.98/2.14 tff(268,plain,
% 1.98/2.14 (s(s1, s1, truck1, truck2, s1, s0)),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[267, 17, 261, 258])).
% 1.98/2.14 tff(269,plain,
% 1.98/2.14 (^[T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : refl(((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2)) <=> ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2)))),
% 1.98/2.14 inference(bind,[status(th)],[])).
% 1.98/2.14 tff(270,plain,
% 1.98/2.14 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2)) <=> ![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))),
% 1.98/2.14 inference(quant_intro,[status(thm)],[269])).
% 1.98/2.14 tff(271,plain,
% 1.98/2.14 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2)) <=> ![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(272,axiom,(![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','load1')).
% 1.98/2.14 tff(273,plain,
% 1.98/2.14 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[272, 271])).
% 1.98/2.14 tff(274,plain,(
% 1.98/2.14 ![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))),
% 1.98/2.14 inference(skolemize,[status(sab)],[273])).
% 1.98/2.14 tff(275,plain,
% 1.98/2.14 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[274, 270])).
% 1.98/2.14 tff(276,plain,
% 1.98/2.14 (((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))) | ((~s(s1, s1, truck1, truck2, s1, s0)) | s(truck1, s1, truck1, truck2, s1, s0))) <=> ((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))) | (~s(s1, s1, truck1, truck2, s1, s0)) | s(truck1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(277,plain,
% 1.98/2.14 ((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))) | ((~s(s1, s1, truck1, truck2, s1, s0)) | s(truck1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(quant_inst,[status(thm)],[])).
% 1.98/2.14 tff(278,plain,
% 1.98/2.14 ((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : ((~s(L, O2, D1, D2, L, T2)) | s(truck1, O2, D1, D2, L, T2))) | (~s(s1, s1, truck1, truck2, s1, s0)) | s(truck1, s1, truck1, truck2, s1, s0)),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[277, 276])).
% 1.98/2.14 tff(279,plain,
% 1.98/2.14 (s(truck1, s1, truck1, truck2, s1, s0)),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[278, 275, 268])).
% 1.98/2.14 tff(280,plain,
% 1.98/2.14 (link(s1, s2) <=> link(s1, s2)),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(281,axiom,(link(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map17')).
% 1.98/2.14 tff(282,plain,
% 1.98/2.14 (link(s1, s2)),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[281, 280])).
% 1.98/2.14 tff(283,plain,
% 1.98/2.14 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (s(truck1, s1, truck1, truck2, s2, s0) | (~link(s1, s2)) | (~s(truck1, s1, truck1, truck2, s1, s0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | s(truck1, s1, truck1, truck2, s2, s0) | (~link(s1, s2)) | (~s(truck1, s1, truck1, truck2, s1, s0)))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(284,plain,
% 1.98/2.14 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | (s(truck1, s1, truck1, truck2, s2, s0) | (~link(s1, s2)) | (~s(truck1, s1, truck1, truck2, s1, s0)))),
% 1.98/2.14 inference(quant_inst,[status(thm)],[])).
% 1.98/2.14 tff(285,plain,
% 1.98/2.14 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, D2: $i] : (s(O1, O2, truck1, D2, D, T2) | (~link(S, D)) | (~s(O1, O2, truck1, D2, S, T2)))) | s(truck1, s1, truck1, truck2, s2, s0) | (~link(s1, s2)) | (~s(truck1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[284, 283])).
% 1.98/2.14 tff(286,plain,
% 1.98/2.14 (s(truck1, s1, truck1, truck2, s2, s0) | (~s(truck1, s1, truck1, truck2, s1, s0))),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[285, 34, 282])).
% 1.98/2.14 tff(287,plain,
% 1.98/2.14 (s(truck1, s1, truck1, truck2, s2, s0)),
% 1.98/2.14 inference(unit_resolution,[status(thm)],[286, 279])).
% 1.98/2.14 tff(288,plain,
% 1.98/2.14 (^[O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : refl(((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L)) <=> ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L)))),
% 1.98/2.14 inference(bind,[status(th)],[])).
% 1.98/2.14 tff(289,plain,
% 1.98/2.14 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L)) <=> ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.14 inference(quant_intro,[status(thm)],[288])).
% 1.98/2.14 tff(290,plain,
% 1.98/2.14 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L)) <=> ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.14 inference(rewrite,[status(thm)],[])).
% 1.98/2.14 tff(291,plain,
% 1.98/2.14 (^[O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : rewrite((s(O1, O2, D1, L, T1, L) | (~s(O1, O2, D1, truck2, T1, L))) <=> ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L)))),
% 1.98/2.14 inference(bind,[status(th)],[])).
% 1.98/2.14 tff(292,plain,
% 1.98/2.14 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, L, T1, L) | (~s(O1, O2, D1, truck2, T1, L))) <=> ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.15 inference(quant_intro,[status(thm)],[291])).
% 1.98/2.15 tff(293,axiom,(![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : (s(O1, O2, D1, L, T1, L) | (~s(O1, O2, D1, truck2, T1, L)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','board8')).
% 1.98/2.15 tff(294,plain,
% 1.98/2.15 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[293, 292])).
% 1.98/2.15 tff(295,plain,
% 1.98/2.15 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[294, 290])).
% 1.98/2.15 tff(296,plain,(
% 1.98/2.15 ![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.15 inference(skolemize,[status(sab)],[295])).
% 1.98/2.15 tff(297,plain,
% 1.98/2.15 (![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[296, 289])).
% 1.98/2.15 tff(298,plain,
% 1.98/2.15 (((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))) | ((~s(truck1, s1, truck1, truck2, s2, s0)) | s(truck1, s1, truck1, s0, s2, s0))) <=> ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))) | (~s(truck1, s1, truck1, truck2, s2, s0)) | s(truck1, s1, truck1, s0, s2, s0))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(299,plain,
% 1.98/2.15 ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))) | ((~s(truck1, s1, truck1, truck2, s2, s0)) | s(truck1, s1, truck1, s0, s2, s0))),
% 1.98/2.15 inference(quant_inst,[status(thm)],[])).
% 1.98/2.15 tff(300,plain,
% 1.98/2.15 ((~![O2: $i, L: $i, O1: $i, T1: $i, D1: $i] : ((~s(O1, O2, D1, truck2, T1, L)) | s(O1, O2, D1, L, T1, L))) | (~s(truck1, s1, truck1, truck2, s2, s0)) | s(truck1, s1, truck1, s0, s2, s0)),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[299, 298])).
% 1.98/2.15 tff(301,plain,
% 1.98/2.15 (s(truck1, s1, truck1, s0, s2, s0)),
% 1.98/2.15 inference(unit_resolution,[status(thm)],[300, 297, 287])).
% 1.98/2.15 tff(302,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | ((~s(truck1, s1, truck1, s0, s2, s0)) | s(truck1, s1, s2, s0, s2, s0))) <=> ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | (~s(truck1, s1, truck1, s0, s2, s0)) | s(truck1, s1, s2, s0, s2, s0))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(303,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | ((~s(truck1, s1, truck1, s0, s2, s0)) | s(truck1, s1, s2, s0, s2, s0))),
% 1.98/2.15 inference(quant_inst,[status(thm)],[])).
% 1.98/2.15 tff(304,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, L: $i, O1: $i, D2: $i] : ((~s(O1, O2, truck1, D2, L, T2)) | s(O1, O2, L, D2, L, T2))) | (~s(truck1, s1, truck1, s0, s2, s0)) | s(truck1, s1, s2, s0, s2, s0)),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[303, 302])).
% 1.98/2.15 tff(305,plain,
% 1.98/2.15 (s(truck1, s1, s2, s0, s2, s0)),
% 1.98/2.15 inference(unit_resolution,[status(thm)],[304, 51, 301])).
% 1.98/2.15 tff(306,assumption,(~s(truck1, s1, s2, p2_0, s2, s0)), introduced(assumption)).
% 1.98/2.15 tff(307,plain,
% 1.98/2.15 (path(s0, p2_0) <=> path(s0, p2_0)),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(308,axiom,(path(s0, p2_0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map7')).
% 1.98/2.15 tff(309,plain,
% 1.98/2.15 (path(s0, p2_0)),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[308, 307])).
% 1.98/2.15 tff(310,plain,
% 1.98/2.15 (^[T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : refl(((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2))) <=> ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2))))),
% 1.98/2.15 inference(bind,[status(th)],[])).
% 1.98/2.15 tff(311,plain,
% 1.98/2.15 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2))) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(quant_intro,[status(thm)],[310])).
% 1.98/2.15 tff(312,plain,
% 1.98/2.15 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2))) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(313,plain,
% 1.98/2.15 (^[T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : trans(monotonicity(rewrite(((~s(O1, O2, D1, S, T1, T2)) | (~path(S, D))) <=> ((~path(S, D)) | (~s(O1, O2, D1, S, T1, T2)))), ((((~s(O1, O2, D1, S, T1, T2)) | (~path(S, D))) | s(O1, O2, D1, D, T1, T2)) <=> (((~path(S, D)) | (~s(O1, O2, D1, S, T1, T2))) | s(O1, O2, D1, D, T1, T2)))), rewrite((((~path(S, D)) | (~s(O1, O2, D1, S, T1, T2))) | s(O1, O2, D1, D, T1, T2)) <=> ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))), ((((~s(O1, O2, D1, S, T1, T2)) | (~path(S, D))) | s(O1, O2, D1, D, T1, T2)) <=> ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))))),
% 1.98/2.15 inference(bind,[status(th)],[])).
% 1.98/2.15 tff(314,plain,
% 1.98/2.15 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : (((~s(O1, O2, D1, S, T1, T2)) | (~path(S, D))) | s(O1, O2, D1, D, T1, T2)) <=> ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(quant_intro,[status(thm)],[313])).
% 1.98/2.15 tff(315,axiom,(![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : (((~s(O1, O2, D1, S, T1, T2)) | (~path(S, D))) | s(O1, O2, D1, D, T1, T2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','walk2')).
% 1.98/2.15 tff(316,plain,
% 1.98/2.15 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[315, 314])).
% 1.98/2.15 tff(317,plain,
% 1.98/2.15 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[316, 312])).
% 1.98/2.15 tff(318,plain,(
% 1.98/2.15 ![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(skolemize,[status(sab)],[317])).
% 1.98/2.15 tff(319,plain,
% 1.98/2.15 (![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[318, 311])).
% 1.98/2.15 tff(320,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~s(truck1, s1, s2, s0, s2, s0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~path(s0, p2_0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | (~s(truck1, s1, s2, s0, s2, s0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~path(s0, p2_0)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(321,plain,
% 1.98/2.15 (((~path(s0, p2_0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~s(truck1, s1, s2, s0, s2, s0))) <=> ((~s(truck1, s1, s2, s0, s2, s0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~path(s0, p2_0)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(322,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~path(s0, p2_0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~s(truck1, s1, s2, s0, s2, s0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~s(truck1, s1, s2, s0, s2, s0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~path(s0, p2_0))))),
% 1.98/2.15 inference(monotonicity,[status(thm)],[321])).
% 1.98/2.15 tff(323,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~path(s0, p2_0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~s(truck1, s1, s2, s0, s2, s0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | (~s(truck1, s1, s2, s0, s2, s0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~path(s0, p2_0)))),
% 1.98/2.15 inference(transitivity,[status(thm)],[322, 320])).
% 1.98/2.15 tff(324,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~path(s0, p2_0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~s(truck1, s1, s2, s0, s2, s0)))),
% 1.98/2.15 inference(quant_inst,[status(thm)],[])).
% 1.98/2.15 tff(325,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | (~s(truck1, s1, s2, s0, s2, s0)) | s(truck1, s1, s2, p2_0, s2, s0) | (~path(s0, p2_0))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[324, 323])).
% 1.98/2.15 tff(326,plain,
% 1.98/2.15 ($false),
% 1.98/2.15 inference(unit_resolution,[status(thm)],[325, 319, 309, 306, 305])).
% 1.98/2.15 tff(327,plain,(s(truck1, s1, s2, p2_0, s2, s0)), inference(lemma,lemma(discharge,[]))).
% 1.98/2.15 tff(328,plain,
% 1.98/2.15 ((~s(s2, s1, s2, s2, s2, s0)) <=> (~s(s2, s1, s2, s2, s2, s0))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(329,axiom,(~s(s2, s1, s2, s2, s2, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goal')).
% 1.98/2.15 tff(330,plain,
% 1.98/2.15 (~s(s2, s1, s2, s2, s2, s0)),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[329, 328])).
% 1.98/2.15 tff(331,plain,
% 1.98/2.15 (^[T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : refl((s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2))) <=> (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2))))),
% 1.98/2.15 inference(bind,[status(th)],[])).
% 1.98/2.15 tff(332,plain,
% 1.98/2.15 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2))) <=> ![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))),
% 1.98/2.15 inference(quant_intro,[status(thm)],[331])).
% 1.98/2.15 tff(333,plain,
% 1.98/2.15 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2))) <=> ![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(334,axiom,(![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','load2')).
% 1.98/2.15 tff(335,plain,
% 1.98/2.15 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[334, 333])).
% 1.98/2.15 tff(336,plain,(
% 1.98/2.15 ![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))),
% 1.98/2.15 inference(skolemize,[status(sab)],[335])).
% 1.98/2.15 tff(337,plain,
% 1.98/2.15 (![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[336, 332])).
% 1.98/2.15 tff(338,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))) | (s(s2, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, s2, s2, s0)))) <=> ((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))) | s(s2, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, s2, s2, s0)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(339,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))) | (s(s2, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, s2, s2, s0)))),
% 1.98/2.15 inference(quant_inst,[status(thm)],[])).
% 1.98/2.15 tff(340,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, L: $i, D2: $i, D1: $i] : (s(L, O2, D1, D2, L, T2) | (~s(truck1, O2, D1, D2, L, T2)))) | s(s2, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, s2, s2, s0))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[339, 338])).
% 1.98/2.15 tff(341,plain,
% 1.98/2.15 (~s(truck1, s1, s2, s2, s2, s0)),
% 1.98/2.15 inference(unit_resolution,[status(thm)],[340, 337, 330])).
% 1.98/2.15 tff(342,plain,
% 1.98/2.15 (path(p2_0, s2) <=> path(p2_0, s2)),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(343,axiom,(path(p2_0, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','map6')).
% 1.98/2.15 tff(344,plain,
% 1.98/2.15 (path(p2_0, s2)),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[343, 342])).
% 1.98/2.15 tff(345,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | (s(truck1, s1, s2, s2, s2, s0) | (~path(p2_0, s2)) | (~s(truck1, s1, s2, p2_0, s2, s0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | s(truck1, s1, s2, s2, s2, s0) | (~path(p2_0, s2)) | (~s(truck1, s1, s2, p2_0, s2, s0)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(346,plain,
% 1.98/2.15 (((~path(p2_0, s2)) | s(truck1, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, p2_0, s2, s0))) <=> (s(truck1, s1, s2, s2, s2, s0) | (~path(p2_0, s2)) | (~s(truck1, s1, s2, p2_0, s2, s0)))),
% 1.98/2.15 inference(rewrite,[status(thm)],[])).
% 1.98/2.15 tff(347,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~path(p2_0, s2)) | s(truck1, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, p2_0, s2, s0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | (s(truck1, s1, s2, s2, s2, s0) | (~path(p2_0, s2)) | (~s(truck1, s1, s2, p2_0, s2, s0))))),
% 1.98/2.15 inference(monotonicity,[status(thm)],[346])).
% 1.98/2.15 tff(348,plain,
% 1.98/2.15 (((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~path(p2_0, s2)) | s(truck1, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, p2_0, s2, s0)))) <=> ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | s(truck1, s1, s2, s2, s2, s0) | (~path(p2_0, s2)) | (~s(truck1, s1, s2, p2_0, s2, s0)))),
% 1.98/2.15 inference(transitivity,[status(thm)],[347, 345])).
% 1.98/2.15 tff(349,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | ((~path(p2_0, s2)) | s(truck1, s1, s2, s2, s2, s0) | (~s(truck1, s1, s2, p2_0, s2, s0)))),
% 1.98/2.15 inference(quant_inst,[status(thm)],[])).
% 1.98/2.15 tff(350,plain,
% 1.98/2.15 ((~![T2: $i, O2: $i, D: $i, S: $i, O1: $i, T1: $i, D1: $i] : ((~path(S, D)) | s(O1, O2, D1, D, T1, T2) | (~s(O1, O2, D1, S, T1, T2)))) | s(truck1, s1, s2, s2, s2, s0) | (~path(p2_0, s2)) | (~s(truck1, s1, s2, p2_0, s2, s0))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[349, 348])).
% 1.98/2.15 tff(351,plain,
% 1.98/2.15 ($false),
% 1.98/2.15 inference(unit_resolution,[status(thm)],[350, 319, 344, 341, 327])).
% 1.98/2.15 % SZS output end Proof
% 1.98/2.16 % E exiting
%------------------------------------------------------------------------------