%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ035-5 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:23:14 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ035-5 : TPTP v9.0.0. Released v2.0.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Fri Jun 20 02:41:26 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.37 % SZS status Unsatisfiable
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(truth_type, type, (
% 0.11/0.37 truth: $i > $o)).
% 0.11/0.37 tff(isa_type, type, (
% 0.11/0.37 isa: ( $i * $i ) > $i)).
% 0.11/0.37 tff(knave_type, type, (
% 0.11/0.37 knave: $i)).
% 0.11/0.37 tff(other_type, type, (
% 0.11/0.37 other: $i)).
% 0.11/0.37 tff(knight_type, type, (
% 0.11/0.37 knight: $i)).
% 0.11/0.37 tff(asked_type, type, (
% 0.11/0.37 asked: $i)).
% 0.11/0.37 tff(or_type, type, (
% 0.11/0.37 or: ( $i * $i ) > $i)).
% 0.11/0.37 tff(says_type, type, (
% 0.11/0.37 says: ( $i * $i ) > $o)).
% 0.11/0.37 tff(1,assumption,(~truth(isa(asked, knight))), introduced(assumption)).
% 0.11/0.37 tff(2,plain,
% 0.11/0.37 (says(asked, or(isa(asked, knight), isa(other, knight))) <=> says(asked, or(isa(asked, knight), isa(other, knight)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(3,axiom,(says(asked, or(isa(asked, knight), isa(other, knight)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','says_yes')).
% 0.11/0.37 tff(4,plain,
% 0.11/0.37 (says(asked, or(isa(asked, knight), isa(other, knight)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (^[S: $i, P: $i] : refl((truth(isa(P, knight)) | (~says(P, S)) | (~truth(S))) <=> (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(6,plain,
% 0.11/0.37 (![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S))) <=> ![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[5])).
% 0.11/0.37 tff(7,plain,
% 0.11/0.37 (![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S))) <=> ![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (^[S: $i, P: $i] : trans(monotonicity(rewrite((truth(isa(P, knight)) | (~truth(S))) <=> (truth(isa(P, knight)) | (~truth(S)))), (((truth(isa(P, knight)) | (~truth(S))) | (~says(P, S))) <=> ((truth(isa(P, knight)) | (~truth(S))) | (~says(P, S))))), rewrite(((truth(isa(P, knight)) | (~truth(S))) | (~says(P, S))) <=> (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))), (((truth(isa(P, knight)) | (~truth(S))) | (~says(P, S))) <=> (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(9,plain,
% 0.11/0.37 (![S: $i, P: $i] : ((truth(isa(P, knight)) | (~truth(S))) | (~says(P, S))) <=> ![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[8])).
% 0.11/0.37 tff(10,axiom,(![S: $i, P: $i] : ((truth(isa(P, knight)) | (~truth(S))) | (~says(P, S)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','knights_make_true_statements2')).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 (![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.11/0.37 tff(13,plain,(
% 0.11/0.37 ![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(skolemize,[status(sab)],[12])).
% 0.11/0.37 tff(14,plain,
% 0.11/0.37 (![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.11/0.37 tff(15,plain,
% 0.11/0.37 (((~![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))) | (truth(isa(asked, knight)) | (~says(asked, or(isa(asked, knight), isa(other, knight)))) | (~truth(or(isa(asked, knight), isa(other, knight)))))) <=> ((~![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))) | truth(isa(asked, knight)) | (~says(asked, or(isa(asked, knight), isa(other, knight)))) | (~truth(or(isa(asked, knight), isa(other, knight)))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 ((~![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))) | (truth(isa(asked, knight)) | (~says(asked, or(isa(asked, knight), isa(other, knight)))) | (~truth(or(isa(asked, knight), isa(other, knight)))))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(17,plain,
% 0.11/0.37 ((~![S: $i, P: $i] : (truth(isa(P, knight)) | (~says(P, S)) | (~truth(S)))) | truth(isa(asked, knight)) | (~says(asked, or(isa(asked, knight), isa(other, knight)))) | (~truth(or(isa(asked, knight), isa(other, knight))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 (truth(isa(asked, knight)) | (~truth(or(isa(asked, knight), isa(other, knight))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[17, 14, 4])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 (~truth(or(isa(asked, knight), isa(other, knight)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[18, 1])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (^[B: $i, A: $i] : refl(((~truth(B)) | truth(or(A, B))) <=> ((~truth(B)) | truth(or(A, B))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 (![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B))) <=> ![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[20])).
% 0.20/0.38 tff(22,plain,
% 0.20/0.38 (![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B))) <=> ![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 (^[B: $i, A: $i] : rewrite((truth(or(A, B)) | (~truth(B))) <=> ((~truth(B)) | truth(or(A, B))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (![B: $i, A: $i] : (truth(or(A, B)) | (~truth(B))) <=> ![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[23])).
% 0.20/0.38 tff(25,axiom,(![B: $i, A: $i] : (truth(or(A, B)) | (~truth(B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','or3')).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 (![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.38 tff(28,plain,(
% 0.20/0.38 ![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[27])).
% 0.20/0.38 tff(29,plain,
% 0.20/0.38 (![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (((~![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))) | ((~truth(isa(other, knight))) | truth(or(isa(asked, knight), isa(other, knight))))) <=> ((~![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))) | (~truth(isa(other, knight))) | truth(or(isa(asked, knight), isa(other, knight))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(31,plain,
% 0.20/0.38 ((~![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))) | ((~truth(isa(other, knight))) | truth(or(isa(asked, knight), isa(other, knight))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(32,plain,
% 0.20/0.38 ((~![B: $i, A: $i] : ((~truth(B)) | truth(or(A, B)))) | (~truth(isa(other, knight))) | truth(or(isa(asked, knight), isa(other, knight)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 ((~truth(isa(other, knight))) | truth(or(isa(asked, knight), isa(other, knight)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[32, 29])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 (~truth(isa(other, knight))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[33, 19])).
% 0.20/0.38 tff(35,plain,
% 0.20/0.38 (^[P: $i] : refl((truth(isa(P, knave)) | truth(isa(P, knight))) <=> (truth(isa(P, knave)) | truth(isa(P, knight))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 (![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight))) <=> ![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[35])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 (![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight))) <=> ![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(38,plain,
% 0.20/0.38 (^[P: $i] : rewrite((truth(isa(P, knight)) | truth(isa(P, knave))) <=> (truth(isa(P, knave)) | truth(isa(P, knight))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (![P: $i] : (truth(isa(P, knight)) | truth(isa(P, knave))) <=> ![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.38 tff(40,axiom,(![P: $i] : (truth(isa(P, knight)) | truth(isa(P, knave)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','everyone_a_knight_or_knave')).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 (![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 (![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.20/0.38 tff(43,plain,(
% 0.20/0.38 ![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[42])).
% 0.20/0.38 tff(44,plain,
% 0.20/0.38 (![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.20/0.38 tff(45,plain,
% 0.20/0.38 (((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | (truth(isa(other, knave)) | truth(isa(other, knight)))) <=> ((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | truth(isa(other, knave)) | truth(isa(other, knight)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(46,plain,
% 0.20/0.38 ((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | (truth(isa(other, knave)) | truth(isa(other, knight)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 ((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | truth(isa(other, knave)) | truth(isa(other, knight))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 (truth(isa(other, knave)) | truth(isa(other, knight))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[47, 44])).
% 0.20/0.38 tff(49,plain,
% 0.20/0.38 (truth(isa(other, knave))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[48, 34])).
% 0.20/0.38 tff(50,plain,
% 0.20/0.38 (((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | (truth(isa(asked, knave)) | truth(isa(asked, knight)))) <=> ((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | truth(isa(asked, knave)) | truth(isa(asked, knight)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(51,plain,
% 0.20/0.38 ((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | (truth(isa(asked, knave)) | truth(isa(asked, knight)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(52,plain,
% 0.20/0.38 ((~![P: $i] : (truth(isa(P, knave)) | truth(isa(P, knight)))) | truth(isa(asked, knave)) | truth(isa(asked, knight))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.20/0.38 tff(53,plain,
% 0.20/0.38 (truth(isa(asked, knave)) | truth(isa(asked, knight))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[52, 44])).
% 0.20/0.38 tff(54,plain,
% 0.20/0.38 (truth(isa(asked, knave))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[53, 1])).
% 0.20/0.38 tff(55,plain,
% 0.20/0.38 (^[Y: $i, X: $i] : refl(((~truth(isa(asked, X))) | (~truth(isa(other, Y)))) <=> ((~truth(isa(asked, X))) | (~truth(isa(other, Y)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(56,plain,
% 0.20/0.38 (![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y)))) <=> ![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[55])).
% 0.20/0.38 tff(57,plain,
% 0.20/0.38 (![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y)))) <=> ![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(58,axiom,(![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','query')).
% 0.20/0.38 tff(59,plain,
% 0.20/0.38 (![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.38 tff(60,plain,(
% 0.20/0.38 ![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))),
% 0.20/0.38 inference(skolemize,[status(sab)],[59])).
% 0.20/0.38 tff(61,plain,
% 0.20/0.38 (![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.20/0.38 tff(62,plain,
% 0.20/0.38 (((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | ((~truth(isa(asked, knave))) | (~truth(isa(other, knave))))) <=> ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | (~truth(isa(asked, knave))) | (~truth(isa(other, knave))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(63,plain,
% 0.20/0.38 ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | ((~truth(isa(asked, knave))) | (~truth(isa(other, knave))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(64,plain,
% 0.20/0.38 ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | (~truth(isa(asked, knave))) | (~truth(isa(other, knave)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.20/0.38 tff(65,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[64, 61, 54, 49])).
% 0.20/0.38 tff(66,plain,(truth(isa(asked, knight))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(67,plain,
% 0.20/0.38 (((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | ((~truth(isa(asked, knight))) | (~truth(isa(other, knight))))) <=> ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | (~truth(isa(asked, knight))) | (~truth(isa(other, knight))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(68,plain,
% 0.20/0.38 ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | ((~truth(isa(asked, knight))) | (~truth(isa(other, knight))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(69,plain,
% 0.20/0.38 ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | (~truth(isa(asked, knight))) | (~truth(isa(other, knight)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.20/0.38 tff(70,plain,
% 0.20/0.38 ((~truth(isa(asked, knight))) | (~truth(isa(other, knight)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[69, 61])).
% 0.20/0.38 tff(71,plain,
% 0.20/0.38 (~truth(isa(other, knight))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[70, 66])).
% 0.20/0.38 tff(72,plain,
% 0.20/0.38 (truth(isa(other, knave))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[48, 71])).
% 0.20/0.38 tff(73,plain,
% 0.20/0.38 (((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | ((~truth(isa(asked, knight))) | (~truth(isa(other, knave))))) <=> ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | (~truth(isa(asked, knight))) | (~truth(isa(other, knave))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(74,plain,
% 0.20/0.38 ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | ((~truth(isa(asked, knight))) | (~truth(isa(other, knave))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(75,plain,
% 0.20/0.38 ((~![Y: $i, X: $i] : ((~truth(isa(asked, X))) | (~truth(isa(other, Y))))) | (~truth(isa(asked, knight))) | (~truth(isa(other, knave)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.20/0.38 tff(76,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[75, 61, 66, 72])).
% 0.20/0.38 % SZS output end Proof
% 0.20/0.38 % E exiting
%------------------------------------------------------------------------------