%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV025-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:08:59 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV025-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 17:20:09 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 tff(p_Rd_error_type, type, (
% 0.20/0.41 p_Rd_error: $i > $o)).
% 0.20/0.41 tff(plus_type, type, (
% 0.20/0.41 plus: ( $i * $i ) > $i)).
% 0.20/0.41 tff(n1_type, type, (
% 0.20/0.41 n1: $i)).
% 0.20/0.41 tff(t_139_type, type, (
% 0.20/0.41 t_139: $i)).
% 0.20/0.41 tff(p_Wr_type, type, (
% 0.20/0.41 p_Wr: $i > $o)).
% 0.20/0.41 tff(p_Reset_type, type, (
% 0.20/0.41 p_Reset: $i > $o)).
% 0.20/0.41 tff(p_Rd_type, type, (
% 0.20/0.41 p_Rd: $i > $o)).
% 0.20/0.41 tff(1,assumption,(~p_Rd_error(plus(t_139, n1))), introduced(assumption)).
% 0.20/0.41 tff(2,plain,
% 0.20/0.41 ((p_Rd_error(t_139) | p_Rd_error(plus(t_139, n1))) <=> (p_Rd_error(t_139) | p_Rd_error(plus(t_139, n1)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(3,axiom,(p_Rd_error(t_139) | p_Rd_error(plus(t_139, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_4')).
% 0.20/0.41 tff(4,plain,
% 0.20/0.41 (p_Rd_error(t_139) | p_Rd_error(plus(t_139, n1))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.41 tff(5,plain,
% 0.20/0.41 (p_Rd_error(t_139)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.20/0.41 tff(6,plain,
% 0.20/0.41 ((~p_Reset(t_139)) <=> (~p_Reset(t_139))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(7,axiom,(~p_Reset(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.20/0.41 tff(8,plain,
% 0.20/0.41 (~p_Reset(t_139)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.41 tff(9,plain,
% 0.20/0.41 ((~p_Rd(t_139)) <=> (~p_Rd(t_139))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(10,axiom,(~p_Rd(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.20/0.41 tff(11,plain,
% 0.20/0.41 (~p_Rd(t_139)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.41 tff(12,plain,
% 0.20/0.41 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(13,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[12])).
% 0.20/0.41 tff(14,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(15,plain,
% 0.20/0.41 (^[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)) | p_Rd_error(plus(X_t_42, n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Rd_error(plus(X_t_42, n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | 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)) | p_Rd_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | 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)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (~p_Rd_error(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (~p_Rd_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(16,plain,
% 0.20/0.41 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[15])).
% 0.20/0.41 tff(17,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_86')).
% 0.20/0.41 tff(18,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.20/0.41 tff(19,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.20/0.41 tff(20,plain,(
% 0.20/0.41 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[19])).
% 0.20/0.41 tff(21,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.20/0.41 tff(22,plain,
% 0.20/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | (p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(23,plain,
% 0.20/0.41 ((p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | p_Wr(t_139) | (~p_Rd_error(t_139))) <=> (p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(24,plain,
% 0.20/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | (p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | p_Wr(t_139) | (~p_Rd_error(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | (p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[23])).
% 0.20/0.41 tff(25,plain,
% 0.20/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | (p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | p_Wr(t_139) | (~p_Rd_error(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139))),
% 0.20/0.41 inference(transitivity,[status(thm)],[24, 22])).
% 0.20/0.41 tff(26,plain,
% 0.20/0.41 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | (p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | p_Wr(t_139) | (~p_Rd_error(t_139)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(27,plain,
% 0.20/0.41 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | p_Wr(X_t_42) | (~p_Rd_error(X_t_42)))) | p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.20/0.41 tff(28,plain,
% 0.20/0.41 ((~p_Rd_error(t_139)) | p_Rd_error(plus(t_139, n1)) | p_Wr(t_139)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[27, 21, 11, 8])).
% 0.20/0.41 tff(29,plain,
% 0.20/0.41 (p_Wr(t_139)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[28, 5, 1])).
% 0.20/0.41 tff(30,plain,
% 0.20/0.41 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(31,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[30])).
% 0.20/0.41 tff(32,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(33,plain,
% 0.20/0.41 (^[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)) | p_Rd_error(plus(X_t_42, n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Rd_error(plus(X_t_42, n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Rd_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | 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)) | p_Rd_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | 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)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd_error(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(34,plain,
% 0.20/0.41 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[33])).
% 0.20/0.41 tff(35,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Rd_error(plus(X_t_42, n1))) | (~p_Rd_error(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_50')).
% 0.20/0.41 tff(36,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.41 tff(37,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.20/0.41 tff(38,plain,(
% 0.20/0.41 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[37])).
% 0.20/0.41 tff(39,plain,
% 0.20/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.20/0.41 tff(40,plain,
% 0.20/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | (p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(41,plain,
% 0.20/0.41 ((p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | (~p_Rd_error(t_139))) <=> (p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(42,plain,
% 0.20/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | (p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | (~p_Rd_error(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | (p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[41])).
% 0.20/0.42 tff(43,plain,
% 0.20/0.42 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | (p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | (~p_Rd_error(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139)))),
% 0.20/0.42 inference(transitivity,[status(thm)],[42, 40])).
% 0.20/0.42 tff(44,plain,
% 0.20/0.42 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | (p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | (~p_Rd_error(t_139)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(45,plain,
% 0.20/0.42 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~p_Rd_error(X_t_42)))) | p_Rd(t_139) | (~p_Rd_error(t_139)) | p_Reset(t_139) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.20/0.42 tff(46,plain,
% 0.20/0.42 ((~p_Rd_error(t_139)) | p_Rd_error(plus(t_139, n1)) | (~p_Wr(t_139))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[45, 39, 11, 8])).
% 0.20/0.42 tff(47,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[46, 29, 5, 1])).
% 0.20/0.42 tff(48,plain,(p_Rd_error(plus(t_139, n1))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(49,plain,
% 0.20/0.42 (((~p_Rd_error(t_139)) | (~p_Rd_error(plus(t_139, n1)))) <=> ((~p_Rd_error(t_139)) | (~p_Rd_error(plus(t_139, n1))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(50,axiom,((~p_Rd_error(t_139)) | (~p_Rd_error(plus(t_139, n1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.20/0.42 tff(51,plain,
% 0.20/0.42 ((~p_Rd_error(t_139)) | (~p_Rd_error(plus(t_139, n1)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.42 tff(52,plain,
% 0.20/0.42 (~p_Rd_error(t_139)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[51, 48])).
% 0.20/0.42 tff(53,plain,
% 0.20/0.42 (^[X_t_42: $i] : refl((p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(54,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.42 tff(55,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(56,plain,
% 0.20/0.42 (^[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)) | (~p_Rd_error(plus(X_t_42, n1)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (~p_Rd_error(plus(X_t_42, n1)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | 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)) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | 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)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42)) <=> ((p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Rd_error(X_t_42)))), rewrite(((p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Rd_error(X_t_42)) <=> (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | 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)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42)) <=> (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(57,plain,
% 0.20/0.42 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42)) <=> ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.42 tff(58,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_85')).
% 0.20/0.42 tff(59,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.42 tff(60,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.20/0.42 tff(61,plain,(
% 0.20/0.42 ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(skolemize,[status(sab)],[60])).
% 0.20/0.42 tff(62,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.20/0.42 tff(63,plain,
% 0.20/0.42 (((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(64,plain,
% 0.20/0.42 ((p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | p_Wr(t_139)) <=> (p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(65,plain,
% 0.20/0.42 (((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139)))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[64])).
% 0.20/0.42 tff(66,plain,
% 0.20/0.42 (((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139))),
% 0.20/0.42 inference(transitivity,[status(thm)],[65, 63])).
% 0.20/0.42 tff(67,plain,
% 0.20/0.42 ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | p_Wr(t_139))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(68,plain,
% 0.20/0.42 ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.20/0.42 tff(69,plain,
% 0.20/0.42 ((~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | p_Wr(t_139)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[68, 62, 11, 8])).
% 0.20/0.42 tff(70,plain,
% 0.20/0.42 (p_Wr(t_139)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[69, 52, 48])).
% 0.20/0.42 tff(71,plain,
% 0.20/0.42 (^[X_t_42: $i] : refl((p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(72,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[71])).
% 0.20/0.42 tff(73,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(74,plain,
% 0.20/0.42 (^[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)) | (~p_Rd_error(plus(X_t_42, n1)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd_error(plus(X_t_42, n1)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | 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)) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | 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)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42)) <=> ((p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Rd_error(X_t_42)))), rewrite(((p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Rd_error(X_t_42)) <=> (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | 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)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42)) <=> (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(75,plain,
% 0.20/0.42 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42)) <=> ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[74])).
% 0.20/0.42 tff(76,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~p_Rd_error(plus(X_t_42, n1)))) | p_Rd_error(X_t_42))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_49')).
% 0.20/0.42 tff(77,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.20/0.42 tff(78,plain,
% 0.20/0.42 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.20/0.42 tff(79,plain,(
% 0.20/0.42 ![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[78])).
% 0.20/0.43 tff(80,plain,
% 0.20/0.43 (![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[79, 72])).
% 0.20/0.43 tff(81,plain,
% 0.20/0.43 (((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(82,plain,
% 0.20/0.43 ((p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | (~p_Wr(t_139))) <=> (p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(83,plain,
% 0.20/0.43 (((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.43 tff(84,plain,
% 0.20/0.43 (((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[83, 81])).
% 0.20/0.43 tff(85,plain,
% 0.20/0.43 ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Rd_error(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd(t_139) | (~p_Wr(t_139)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(86,plain,
% 0.20/0.43 ((~![X_t_42: $i] : (p_Rd_error(X_t_42) | p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.20/0.43 tff(87,plain,
% 0.20/0.43 ((~p_Rd_error(plus(t_139, n1))) | p_Rd_error(t_139) | (~p_Wr(t_139))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[86, 80, 11, 8])).
% 0.20/0.43 tff(88,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[87, 70, 52, 48])).
% 0.20/0.43 % SZS output end Proof
% 0.21/0.43 % E exiting
%------------------------------------------------------------------------------