%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV016-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:08:56 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV016-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.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 : Thu Jun 19 17:19:35 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(plus_type, type, (
% 0.20/0.43 plus: ( $i * $i ) > $i)).
% 0.20/0.43 tff(n1_type, type, (
% 0.20/0.43 n1: $i)).
% 0.20/0.43 tff(int_level_type, type, (
% 0.20/0.43 int_level: $i > $i)).
% 0.20/0.43 tff(t_139_type, type, (
% 0.20/0.43 t_139: $i)).
% 0.20/0.43 tff(n0_type, type, (
% 0.20/0.43 n0: $i)).
% 0.20/0.43 tff(p_Empty_type, type, (
% 0.20/0.43 p_Empty: $i > $o)).
% 0.20/0.43 tff(gt_type, type, (
% 0.20/0.43 gt: ( $i * $i ) > $o)).
% 0.20/0.43 tff(level_type, type, (
% 0.20/0.43 level: $i > $i)).
% 0.20/0.43 tff(p_Rd_type, type, (
% 0.20/0.43 p_Rd: $i > $o)).
% 0.20/0.43 tff(p_Reset_type, type, (
% 0.20/0.43 p_Reset: $i > $o)).
% 0.20/0.43 tff(p_Wr_type, type, (
% 0.20/0.43 p_Wr: $i > $o)).
% 0.20/0.43 tff(fifo_length_type, type, (
% 0.20/0.43 fifo_length: $i)).
% 0.20/0.43 tff(1,plain,
% 0.20/0.43 ((plus(int_level(t_139), n1) = int_level(plus(t_139, n1))) <=> (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))),
% 0.20/0.43 inference(commutativity,[status(thm)],[])).
% 0.20/0.43 tff(2,plain,
% 0.20/0.43 (p_Empty(plus(t_139, n1)) <=> p_Empty(plus(t_139, n1))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(3,axiom,(p_Empty(plus(t_139, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_4')).
% 0.20/0.43 tff(4,plain,
% 0.20/0.43 (p_Empty(plus(t_139, n1))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.43 tff(5,plain,
% 0.20/0.43 (^[X_t_36: $i] : refl(((int_level(X_t_36) = n0) | (~p_Empty(X_t_36))) <=> ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(6,plain,
% 0.20/0.43 (![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36))) <=> ![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[5])).
% 0.20/0.43 tff(7,plain,
% 0.20/0.43 (![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36))) <=> ![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(8,axiom,(![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_25')).
% 0.20/0.43 tff(9,plain,
% 0.20/0.43 (![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.43 tff(10,plain,(
% 0.20/0.43 ![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))),
% 0.20/0.43 inference(skolemize,[status(sab)],[9])).
% 0.20/0.43 tff(11,plain,
% 0.20/0.43 (![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.20/0.43 tff(12,plain,
% 0.20/0.43 (((~![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))) | ((int_level(plus(t_139, n1)) = n0) | (~p_Empty(plus(t_139, n1))))) <=> ((~![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))) | (int_level(plus(t_139, n1)) = n0) | (~p_Empty(plus(t_139, n1))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(13,plain,
% 0.20/0.43 ((~![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))) | ((int_level(plus(t_139, n1)) = n0) | (~p_Empty(plus(t_139, n1))))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(14,plain,
% 0.20/0.43 ((~![X_t_36: $i] : ((int_level(X_t_36) = n0) | (~p_Empty(X_t_36)))) | (int_level(plus(t_139, n1)) = n0) | (~p_Empty(plus(t_139, n1)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.20/0.43 tff(15,plain,
% 0.20/0.43 (int_level(plus(t_139, n1)) = n0),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[14, 11, 4])).
% 0.20/0.43 tff(16,plain,
% 0.20/0.43 (n0 = int_level(plus(t_139, n1))),
% 0.20/0.43 inference(symmetry,[status(thm)],[15])).
% 0.20/0.43 tff(17,plain,
% 0.20/0.43 ((plus(int_level(t_139), n1) = n0) <=> (plus(int_level(t_139), n1) = int_level(plus(t_139, n1)))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[16])).
% 0.20/0.43 tff(18,plain,
% 0.20/0.43 ((plus(int_level(t_139), n1) = n0) <=> (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))),
% 0.20/0.43 inference(transitivity,[status(thm)],[17, 1])).
% 0.20/0.43 tff(19,plain,
% 0.20/0.43 ((~(plus(int_level(t_139), n1) = n0)) <=> (~(int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[18])).
% 0.20/0.43 tff(20,assumption,(plus(int_level(t_139), n1) = n0), introduced(assumption)).
% 0.20/0.43 tff(21,plain,
% 0.20/0.43 (^[X_0: $i] : refl((~(plus(X_0, n1) = n0)) <=> (~(plus(X_0, n1) = n0)))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(22,plain,
% 0.20/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0)) <=> ![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[21])).
% 0.20/0.43 tff(23,plain,
% 0.20/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0)) <=> ![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(24,axiom,(![X_0: $i] : (~(plus(X_0, n1) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_1')).
% 0.20/0.43 tff(25,plain,
% 0.20/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.43 tff(26,plain,(
% 0.20/0.43 ![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.20/0.43 inference(skolemize,[status(sab)],[25])).
% 0.20/0.43 tff(27,plain,
% 0.20/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.43 tff(28,plain,
% 0.20/0.43 ((~![X_0: $i] : (~(plus(X_0, n1) = n0))) | (~(plus(int_level(t_139), n1) = n0))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(29,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[28, 27, 20])).
% 0.20/0.43 tff(30,plain,(~(plus(int_level(t_139), n1) = n0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(31,plain,
% 0.20/0.43 (~(int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[30, 19])).
% 0.20/0.43 tff(32,assumption,(~(n0 = level(t_139))), introduced(assumption)).
% 0.20/0.43 tff(33,plain,
% 0.20/0.43 ((n0 = level(t_139)) <=> (level(t_139) = n0)),
% 0.20/0.43 inference(commutativity,[status(thm)],[])).
% 0.20/0.43 tff(34,plain,
% 0.20/0.43 ((level(t_139) = n0) <=> (n0 = level(t_139))),
% 0.20/0.43 inference(symmetry,[status(thm)],[33])).
% 0.20/0.43 tff(35,plain,
% 0.20/0.43 (^[X_t_32: $i] : refl((level(X_t_32) = int_level(X_t_32)) <=> (level(X_t_32) = int_level(X_t_32)))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(36,plain,
% 0.20/0.43 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32)) <=> ![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[35])).
% 0.20/0.43 tff(37,plain,
% 0.20/0.43 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32)) <=> ![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(38,axiom,(![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_21')).
% 0.20/0.43 tff(39,plain,
% 0.20/0.43 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.43 tff(40,plain,(
% 0.20/0.43 ![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.20/0.43 inference(skolemize,[status(sab)],[39])).
% 0.20/0.43 tff(41,plain,
% 0.20/0.43 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.20/0.43 tff(42,plain,
% 0.20/0.43 ((~![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))) | (level(t_139) = int_level(t_139))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(43,plain,
% 0.20/0.43 (level(t_139) = int_level(t_139)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.20/0.43 tff(44,plain,
% 0.20/0.43 (int_level(t_139) = level(t_139)),
% 0.20/0.43 inference(symmetry,[status(thm)],[43])).
% 0.20/0.43 tff(45,plain,
% 0.20/0.43 ((int_level(plus(t_139, n1)) = int_level(t_139)) <=> (n0 = level(t_139))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[15, 44])).
% 0.20/0.43 tff(46,plain,
% 0.20/0.43 ((int_level(plus(t_139, n1)) = int_level(t_139)) <=> (level(t_139) = n0)),
% 0.20/0.43 inference(transitivity,[status(thm)],[45, 33])).
% 0.20/0.43 tff(47,plain,
% 0.20/0.43 ((int_level(plus(t_139, n1)) = int_level(t_139)) <=> (n0 = level(t_139))),
% 0.20/0.43 inference(transitivity,[status(thm)],[46, 34])).
% 0.20/0.43 tff(48,assumption,(int_level(plus(t_139, n1)) = int_level(t_139)), introduced(assumption)).
% 0.20/0.43 tff(49,plain,
% 0.20/0.43 (n0 = level(t_139)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.20/0.43 tff(50,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[32, 49])).
% 0.20/0.43 tff(51,plain,((~(int_level(plus(t_139, n1)) = int_level(t_139))) | (n0 = level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(52,plain,
% 0.20/0.43 (~(int_level(plus(t_139, n1)) = int_level(t_139))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[51, 32])).
% 0.20/0.43 tff(53,plain,
% 0.20/0.43 (gt(level(t_139), n0) <=> gt(int_level(t_139), n0)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[43])).
% 0.20/0.43 tff(54,plain,
% 0.20/0.43 ((~gt(n0, level(t_139))) <=> (~gt(n0, level(t_139)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(55,axiom,(~gt(n0, level(t_139))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.20/0.43 tff(56,plain,
% 0.20/0.43 (~gt(n0, level(t_139))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.20/0.43 tff(57,plain,
% 0.20/0.43 (^[Y_18: $i, X_17: $i] : refl((gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(58,plain,
% 0.20/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[57])).
% 0.20/0.44 tff(59,plain,
% 0.20/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(60,plain,
% 0.20/0.44 (^[Y_18: $i, X_17: $i] : trans(monotonicity(rewrite((gt(Y_18, X_17) | (X_17 = Y_18)) <=> ((X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)))), rewrite((((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(61,plain,
% 0.20/0.44 (![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[60])).
% 0.20/0.44 tff(62,axiom,(![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_12')).
% 0.20/0.44 tff(63,plain,
% 0.20/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.20/0.44 tff(64,plain,
% 0.20/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.20/0.44 tff(65,plain,(
% 0.20/0.44 ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(skolemize,[status(sab)],[64])).
% 0.20/0.44 tff(66,plain,
% 0.20/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.20/0.44 tff(67,plain,
% 0.20/0.44 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(n0, level(t_139)) | gt(level(t_139), n0) | (n0 = level(t_139)))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(n0, level(t_139)) | gt(level(t_139), n0) | (n0 = level(t_139)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(68,plain,
% 0.20/0.44 ((gt(n0, level(t_139)) | (n0 = level(t_139)) | gt(level(t_139), n0)) <=> (gt(n0, level(t_139)) | gt(level(t_139), n0) | (n0 = level(t_139)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(69,plain,
% 0.20/0.44 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(n0, level(t_139)) | (n0 = level(t_139)) | gt(level(t_139), n0))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(n0, level(t_139)) | gt(level(t_139), n0) | (n0 = level(t_139))))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[68])).
% 0.20/0.44 tff(70,plain,
% 0.20/0.44 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(n0, level(t_139)) | (n0 = level(t_139)) | gt(level(t_139), n0))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(n0, level(t_139)) | gt(level(t_139), n0) | (n0 = level(t_139)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[69, 67])).
% 0.20/0.44 tff(71,plain,
% 0.20/0.44 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(n0, level(t_139)) | (n0 = level(t_139)) | gt(level(t_139), n0))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(72,plain,
% 0.20/0.44 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(n0, level(t_139)) | gt(level(t_139), n0) | (n0 = level(t_139))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.20/0.44 tff(73,plain,
% 0.20/0.44 (gt(level(t_139), n0) | (n0 = level(t_139))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[72, 66, 56])).
% 0.20/0.44 tff(74,plain,
% 0.20/0.44 (gt(level(t_139), n0)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[73, 32])).
% 0.20/0.44 tff(75,plain,
% 0.20/0.44 (gt(int_level(t_139), n0)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[74, 53])).
% 0.20/0.44 tff(76,plain,
% 0.20/0.44 ((~p_Reset(t_139)) <=> (~p_Reset(t_139))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(77,axiom,(~p_Reset(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.20/0.44 tff(78,plain,
% 0.20/0.44 (~p_Reset(t_139)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.20/0.44 tff(79,plain,
% 0.20/0.44 (p_Wr(t_139) <=> p_Wr(t_139)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(80,axiom,(p_Wr(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.20/0.44 tff(81,plain,
% 0.20/0.44 (p_Wr(t_139)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.20/0.44 tff(82,plain,
% 0.20/0.44 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(83,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[82])).
% 0.20/0.44 tff(84,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(85,plain,
% 0.20/0.44 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(86,plain,
% 0.20/0.44 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[85])).
% 0.20/0.44 tff(87,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_53')).
% 0.20/0.44 tff(88,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.20/0.44 tff(89,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.20/0.44 tff(90,plain,(
% 0.20/0.44 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[89])).
% 0.20/0.44 tff(91,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.20/0.44 tff(92,plain,
% 0.20/0.44 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(93,plain,
% 0.20/0.44 ((p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | (~gt(int_level(t_139), n0))) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(94,plain,
% 0.20/0.44 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | (~gt(int_level(t_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139))))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[93])).
% 0.20/0.44 tff(95,plain,
% 0.20/0.44 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | (~gt(int_level(t_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[94, 92])).
% 0.20/0.44 tff(96,plain,
% 0.20/0.44 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | (~gt(int_level(t_139), n0)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(97,plain,
% 0.20/0.44 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.20/0.44 tff(98,plain,
% 0.20/0.44 ((~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (int_level(plus(t_139, n1)) = int_level(t_139))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[97, 91, 81, 78])).
% 0.20/0.44 tff(99,plain,
% 0.20/0.44 (~p_Rd(t_139)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[98, 52, 75])).
% 0.20/0.44 tff(100,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(101,plain,
% 0.20/0.44 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(102,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[101])).
% 0.20/0.44 tff(103,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(104,plain,
% 0.20/0.44 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(105,plain,
% 0.20/0.44 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[104])).
% 0.20/0.44 tff(106,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_35')).
% 0.20/0.44 tff(107,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.20/0.44 tff(108,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.20/0.44 tff(109,plain,(
% 0.20/0.44 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[108])).
% 0.20/0.44 tff(110,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[109, 102])).
% 0.20/0.44 tff(111,plain,
% 0.20/0.44 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[110, 100])).
% 0.20/0.45 tff(112,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(113,plain,
% 0.20/0.45 ((p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (~gt(fifo_length, int_level(t_139))) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))) <=> (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(114,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (~gt(fifo_length, int_level(t_139))) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139)))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[113])).
% 0.20/0.45 tff(115,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (~gt(fifo_length, int_level(t_139))) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139))))),
% 0.20/0.45 inference(transitivity,[status(thm)],[114, 112])).
% 0.20/0.45 tff(116,plain,
% 0.20/0.45 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (~gt(fifo_length, int_level(t_139))) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(117,plain,
% 0.20/0.45 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.20/0.45 tff(118,plain,
% 0.20/0.45 (p_Rd(t_139) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | (~gt(fifo_length, int_level(t_139)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[117, 111, 81, 78])).
% 0.20/0.45 tff(119,plain,
% 0.20/0.45 (~gt(fifo_length, int_level(t_139))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[118, 99, 31])).
% 0.20/0.45 tff(120,plain,
% 0.20/0.45 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(121,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[120])).
% 0.20/0.45 tff(122,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(123,plain,
% 0.20/0.45 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(124,plain,
% 0.20/0.45 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[123])).
% 0.20/0.45 tff(125,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_44')).
% 0.20/0.45 tff(126,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.20/0.45 tff(127,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[126, 122])).
% 0.20/0.45 tff(128,plain,(
% 0.20/0.45 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[127])).
% 0.20/0.45 tff(129,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[128, 121])).
% 0.20/0.45 tff(130,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(131,plain,
% 0.20/0.45 ((p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139))) <=> (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(132,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[131])).
% 0.20/0.45 tff(133,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[132, 130])).
% 0.20/0.45 tff(134,plain,
% 0.20/0.45 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(135,plain,
% 0.20/0.45 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.20/0.45 tff(136,plain,
% 0.20/0.45 (p_Rd(t_139) | (int_level(plus(t_139, n1)) = int_level(t_139)) | gt(fifo_length, int_level(t_139))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[135, 129, 81, 78])).
% 0.20/0.45 tff(137,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[136, 119, 99, 52])).
% 0.20/0.45 tff(138,plain,(n0 = level(t_139)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(139,plain,
% 0.20/0.45 (level(t_139) = n0),
% 0.20/0.45 inference(symmetry,[status(thm)],[138])).
% 0.20/0.45 tff(140,plain,
% 0.20/0.45 (int_level(t_139) = n0),
% 0.20/0.45 inference(transitivity,[status(thm)],[44, 139])).
% 0.20/0.45 tff(141,plain,
% 0.20/0.45 (gt(int_level(t_139), n0) <=> gt(n0, n0)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[140])).
% 0.20/0.45 tff(142,plain,
% 0.20/0.45 (gt(n0, n0) <=> gt(int_level(t_139), n0)),
% 0.20/0.45 inference(symmetry,[status(thm)],[141])).
% 0.20/0.45 tff(143,plain,
% 0.20/0.45 (gt(n0, level(t_139)) <=> gt(n0, n0)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[139])).
% 0.20/0.45 tff(144,plain,
% 0.20/0.45 (gt(n0, level(t_139)) <=> gt(int_level(t_139), n0)),
% 0.20/0.45 inference(transitivity,[status(thm)],[143, 142])).
% 0.20/0.45 tff(145,plain,
% 0.20/0.45 ((~gt(n0, level(t_139))) <=> (~gt(int_level(t_139), n0))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[144])).
% 0.20/0.45 tff(146,plain,
% 0.20/0.45 (~gt(int_level(t_139), n0)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[56, 145])).
% 0.20/0.45 tff(147,plain,
% 0.20/0.45 (gt(fifo_length, int_level(t_139)) <=> gt(fifo_length, n0)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[140])).
% 0.20/0.45 tff(148,plain,
% 0.20/0.45 (gt(fifo_length, n0) <=> gt(fifo_length, int_level(t_139))),
% 0.20/0.45 inference(symmetry,[status(thm)],[147])).
% 0.20/0.45 tff(149,plain,
% 0.20/0.45 (gt(fifo_length, n0) <=> gt(fifo_length, n0)),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(150,axiom,(gt(fifo_length, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_5')).
% 0.20/0.45 tff(151,plain,
% 0.20/0.45 (gt(fifo_length, n0)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.45 tff(152,plain,
% 0.20/0.45 (gt(fifo_length, int_level(t_139))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[151, 148])).
% 0.20/0.45 tff(153,plain,
% 0.20/0.45 (p_Rd(t_139)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[118, 152, 31])).
% 0.20/0.45 tff(154,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(155,plain,
% 0.20/0.45 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(156,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[155])).
% 0.20/0.45 tff(157,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(158,plain,
% 0.20/0.45 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(159,plain,
% 0.20/0.45 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[158])).
% 0.20/0.45 tff(160,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_59')).
% 0.20/0.45 tff(161,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.45 tff(162,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.20/0.45 tff(163,plain,(
% 0.20/0.45 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(skolemize,[status(sab)],[162])).
% 0.20/0.45 tff(164,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.20/0.45 tff(165,plain,
% 0.20/0.45 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[164, 154])).
% 0.20/0.45 tff(166,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(167,plain,
% 0.20/0.45 ((p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | gt(int_level(t_139), n0)) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(168,plain,
% 0.20/0.45 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[167])).
% 0.20/0.46 tff(169,plain,
% 0.20/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)))),
% 0.20/0.46 inference(transitivity,[status(thm)],[168, 166])).
% 0.20/0.46 tff(170,plain,
% 0.20/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1)) | gt(int_level(t_139), n0))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(171,plain,
% 0.20/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.20/0.46 tff(172,plain,
% 0.20/0.46 ((~p_Rd(t_139)) | gt(int_level(t_139), n0) | (int_level(plus(t_139, n1)) = plus(int_level(t_139), n1))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[171, 165, 81, 78])).
% 0.20/0.46 tff(173,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[172, 153, 146, 31])).
% 0.20/0.46 % SZS output end Proof
% 0.20/0.46 % E exiting
%------------------------------------------------------------------------------