%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV024-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:08:58 AM UTC 2025
% Result : Unsatisfiable 0.18s 0.39s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HWV024-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 17:20:03 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.39 % SZS status Unsatisfiable
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 tff(p_Wr_type, type, (
% 0.18/0.39 p_Wr: $i > $o)).
% 0.18/0.39 tff(x_140_type, type, (
% 0.18/0.39 x_140: $i)).
% 0.18/0.39 tff(p_Data_out_type, type, (
% 0.18/0.39 p_Data_out: ( $i * $i ) > $o)).
% 0.18/0.39 tff(plus_type, type, (
% 0.18/0.39 plus: ( $i * $i ) > $i)).
% 0.18/0.39 tff(n1_type, type, (
% 0.18/0.39 n1: $i)).
% 0.18/0.39 tff(x_139_type, type, (
% 0.18/0.39 x_139: $i)).
% 0.18/0.39 tff(p_Reset_type, type, (
% 0.18/0.39 p_Reset: $i > $o)).
% 0.18/0.39 tff(p_Rd_type, type, (
% 0.18/0.39 p_Rd: $i > $o)).
% 0.18/0.39 tff(1,assumption,(~p_Data_out(x_139, plus(x_140, n1))), introduced(assumption)).
% 0.18/0.39 tff(2,plain,
% 0.18/0.39 ((p_Data_out(x_139, x_140) | p_Data_out(x_139, plus(x_140, n1))) <=> (p_Data_out(x_139, x_140) | p_Data_out(x_139, plus(x_140, n1)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(3,axiom,(p_Data_out(x_139, x_140) | p_Data_out(x_139, plus(x_140, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_4')).
% 0.18/0.39 tff(4,plain,
% 0.18/0.39 (p_Data_out(x_139, x_140) | p_Data_out(x_139, plus(x_140, n1))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.18/0.39 tff(5,plain,
% 0.18/0.39 (p_Data_out(x_139, x_140)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.18/0.39 tff(6,plain,
% 0.18/0.39 ((~p_Reset(x_140)) <=> (~p_Reset(x_140))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(7,axiom,(~p_Reset(x_140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.18/0.39 tff(8,plain,
% 0.18/0.39 (~p_Reset(x_140)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.18/0.39 tff(9,plain,
% 0.18/0.39 ((~p_Rd(x_140)) <=> (~p_Rd(x_140))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(10,axiom,(~p_Rd(x_140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.18/0.39 tff(11,plain,
% 0.18/0.39 (~p_Rd(x_140)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.18/0.39 tff(12,plain,
% 0.18/0.39 (^[X_k1_119: $i, X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(13,plain,
% 0.18/0.39 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42))) <=> ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[12])).
% 0.18/0.39 tff(14,plain,
% 0.18/0.39 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42))) <=> ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(15,plain,
% 0.18/0.39 (^[X_k1_119: $i, 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_Data_out(X_k1_119, plus(X_t_42, n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))) | (~p_Data_out(X_k1_119, X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1))) | (~p_Data_out(X_k1_119, X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1))) | (~p_Data_out(X_k1_119, X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))) | (~p_Data_out(X_k1_119, X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(16,plain,
% 0.18/0.39 (![X_k1_119: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))) | (~p_Data_out(X_k1_119, X_t_42))) <=> ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[15])).
% 0.18/0.39 tff(17,axiom,(![X_k1_119: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | p_Data_out(X_k1_119, plus(X_t_42, n1))) | (~p_Data_out(X_k1_119, X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_84')).
% 0.18/0.39 tff(18,plain,
% 0.18/0.39 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.18/0.39 tff(19,plain,
% 0.18/0.39 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.18/0.39 tff(20,plain,(
% 0.18/0.39 ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(skolemize,[status(sab)],[19])).
% 0.18/0.39 tff(21,plain,
% 0.18/0.39 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.18/0.39 tff(22,plain,
% 0.18/0.39 (((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | (p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | p_Wr(x_140))) <=> ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | p_Wr(x_140))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(23,plain,
% 0.18/0.39 ((p_Reset(x_140) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140))) <=> (p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | p_Wr(x_140))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(24,plain,
% 0.18/0.39 (((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | (p_Reset(x_140) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)))) <=> ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | (p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | p_Wr(x_140)))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[23])).
% 0.18/0.39 tff(25,plain,
% 0.18/0.39 (((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | (p_Reset(x_140) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)))) <=> ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | p_Wr(x_140))),
% 0.18/0.39 inference(transitivity,[status(thm)],[24, 22])).
% 0.18/0.39 tff(26,plain,
% 0.18/0.39 ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | (p_Reset(x_140) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(27,plain,
% 0.18/0.40 ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, plus(X_t_42, n1)) | (~p_Data_out(X_k1_119, X_t_42)))) | p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | p_Wr(x_140)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.18/0.40 tff(28,plain,
% 0.18/0.40 (p_Wr(x_140)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[27, 21, 11, 8, 5, 1])).
% 0.18/0.40 tff(29,plain,
% 0.18/0.40 (^[X_k1_64: $i, X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(30,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42))) <=> ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[29])).
% 0.18/0.40 tff(31,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42))) <=> ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(32,plain,
% 0.18/0.40 (^[X_k1_64: $i, 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_Data_out(X_k1_64, plus(X_t_42, n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Data_out(X_k1_64, plus(X_t_42, n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Data_out(X_k1_64, plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) | (~p_Data_out(X_k1_64, X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) | (~p_Data_out(X_k1_64, X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) | (~p_Data_out(X_k1_64, X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) | (~p_Data_out(X_k1_64, X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(33,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) | (~p_Data_out(X_k1_64, X_t_42))) <=> ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[32])).
% 0.18/0.40 tff(34,axiom,(![X_k1_64: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1))) | (~p_Data_out(X_k1_64, X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_48')).
% 0.18/0.40 tff(35,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.18/0.40 tff(36,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[35, 31])).
% 0.18/0.40 tff(37,plain,(
% 0.18/0.40 ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(skolemize,[status(sab)],[36])).
% 0.18/0.40 tff(38,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[37, 30])).
% 0.18/0.40 tff(39,plain,
% 0.18/0.40 (((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | (p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | (~p_Wr(x_140)))) <=> ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | (~p_Wr(x_140)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(40,plain,
% 0.18/0.40 ((p_Reset(x_140) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140))) <=> (p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | (~p_Wr(x_140)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(41,plain,
% 0.18/0.40 (((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | (p_Reset(x_140) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)))) <=> ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | (p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | (~p_Wr(x_140))))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[40])).
% 0.18/0.40 tff(42,plain,
% 0.18/0.40 (((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | (p_Reset(x_140) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)))) <=> ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | (~p_Wr(x_140)))),
% 0.18/0.40 inference(transitivity,[status(thm)],[41, 39])).
% 0.18/0.40 tff(43,plain,
% 0.18/0.40 ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | (p_Reset(x_140) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(44,plain,
% 0.18/0.40 ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, plus(X_t_42, n1)) | (~p_Data_out(X_k1_64, X_t_42)))) | p_Rd(x_140) | p_Reset(x_140) | p_Data_out(x_139, plus(x_140, n1)) | (~p_Data_out(x_139, x_140)) | (~p_Wr(x_140))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.18/0.40 tff(45,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[44, 38, 11, 8, 5, 1, 28])).
% 0.18/0.40 tff(46,plain,(p_Data_out(x_139, plus(x_140, n1))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(47,plain,
% 0.18/0.40 (((~p_Data_out(x_139, x_140)) | (~p_Data_out(x_139, plus(x_140, n1)))) <=> ((~p_Data_out(x_139, x_140)) | (~p_Data_out(x_139, plus(x_140, n1))))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(48,axiom,((~p_Data_out(x_139, x_140)) | (~p_Data_out(x_139, plus(x_140, n1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.18/0.40 tff(49,plain,
% 0.18/0.40 ((~p_Data_out(x_139, x_140)) | (~p_Data_out(x_139, plus(x_140, n1)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.18/0.40 tff(50,plain,
% 0.18/0.40 (~p_Data_out(x_139, x_140)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[49, 46])).
% 0.18/0.40 tff(51,plain,
% 0.18/0.40 (^[X_k1_119: $i, X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42)) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42)))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(52,plain,
% 0.18/0.40 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42)) <=> ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[51])).
% 0.18/0.40 tff(53,plain,
% 0.18/0.40 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42)) <=> ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(54,plain,
% 0.18/0.40 (^[X_k1_119: $i, 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_Data_out(X_k1_119, plus(X_t_42, n1)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (~p_Data_out(X_k1_119, plus(X_t_42, n1)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (~p_Data_out(X_k1_119, plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, 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_Data_out(X_k1_119, plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, 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_Data_out(X_k1_119, plus(X_t_42, n1)))) | p_Data_out(X_k1_119, X_t_42)) <=> ((p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Data_out(X_k1_119, X_t_42)))), rewrite(((p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42)) | p_Data_out(X_k1_119, X_t_42)) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (~p_Data_out(X_k1_119, plus(X_t_42, n1)))) | p_Data_out(X_k1_119, X_t_42)) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(55,plain,
% 0.18/0.40 (![X_k1_119: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (~p_Data_out(X_k1_119, plus(X_t_42, n1)))) | p_Data_out(X_k1_119, X_t_42)) <=> ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[54])).
% 0.18/0.40 tff(56,axiom,(![X_k1_119: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (~p_Data_out(X_k1_119, plus(X_t_42, n1)))) | p_Data_out(X_k1_119, X_t_42))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_83')).
% 0.18/0.40 tff(57,plain,
% 0.18/0.40 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.18/0.40 tff(58,plain,
% 0.18/0.40 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[57, 53])).
% 0.18/0.40 tff(59,plain,(
% 0.18/0.40 ![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(skolemize,[status(sab)],[58])).
% 0.18/0.40 tff(60,plain,
% 0.18/0.40 (![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[59, 52])).
% 0.18/0.40 tff(61,plain,
% 0.18/0.40 (((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | (p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Wr(x_140))) <=> ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Wr(x_140))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(62,plain,
% 0.18/0.40 ((p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, x_140)) <=> (p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Wr(x_140))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(63,plain,
% 0.18/0.40 (((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | (p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, x_140))) <=> ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | (p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Wr(x_140)))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[62])).
% 0.18/0.40 tff(64,plain,
% 0.18/0.40 (((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | (p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, x_140))) <=> ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Wr(x_140))),
% 0.18/0.40 inference(transitivity,[status(thm)],[63, 61])).
% 0.18/0.40 tff(65,plain,
% 0.18/0.40 ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | (p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | p_Wr(x_140) | p_Data_out(x_139, x_140))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(66,plain,
% 0.18/0.40 ((~![X_k1_119: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_119, plus(X_t_42, n1))) | p_Rd(X_t_42) | p_Wr(X_t_42) | p_Data_out(X_k1_119, X_t_42))) | p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Wr(x_140)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.18/0.40 tff(67,plain,
% 0.18/0.40 (p_Wr(x_140)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[66, 60, 11, 8, 50, 46])).
% 0.18/0.40 tff(68,plain,
% 0.18/0.40 (^[X_k1_64: $i, X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42)) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42)))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(69,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42)) <=> ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[68])).
% 0.18/0.40 tff(70,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42)) <=> ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(71,plain,
% 0.18/0.40 (^[X_k1_64: $i, 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_Data_out(X_k1_64, plus(X_t_42, n1)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~p_Data_out(X_k1_64, plus(X_t_42, n1)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~p_Data_out(X_k1_64, plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, 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_Data_out(X_k1_64, plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, 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_Data_out(X_k1_64, plus(X_t_42, n1)))) | p_Data_out(X_k1_64, X_t_42)) <=> ((p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Data_out(X_k1_64, X_t_42)))), rewrite(((p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | p_Data_out(X_k1_64, X_t_42)) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~p_Data_out(X_k1_64, plus(X_t_42, n1)))) | p_Data_out(X_k1_64, X_t_42)) <=> (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(72,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~p_Data_out(X_k1_64, plus(X_t_42, n1)))) | p_Data_out(X_k1_64, X_t_42)) <=> ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[71])).
% 0.18/0.40 tff(73,axiom,(![X_k1_64: $i, X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~p_Data_out(X_k1_64, plus(X_t_42, n1)))) | p_Data_out(X_k1_64, X_t_42))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_47')).
% 0.18/0.40 tff(74,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.18/0.40 tff(75,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.18/0.40 tff(76,plain,(
% 0.18/0.40 ![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(skolemize,[status(sab)],[75])).
% 0.18/0.40 tff(77,plain,
% 0.18/0.40 (![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.18/0.40 tff(78,plain,
% 0.18/0.40 (((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | (p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | (~p_Wr(x_140)))) <=> ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | (~p_Wr(x_140)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(79,plain,
% 0.18/0.41 ((p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, x_140)) <=> (p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | (~p_Wr(x_140)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(80,plain,
% 0.18/0.41 (((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | (p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, x_140))) <=> ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | (p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | (~p_Wr(x_140))))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[79])).
% 0.18/0.41 tff(81,plain,
% 0.18/0.41 (((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | (p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, x_140))) <=> ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | (~p_Wr(x_140)))),
% 0.18/0.41 inference(transitivity,[status(thm)],[80, 78])).
% 0.18/0.41 tff(82,plain,
% 0.18/0.41 ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | (p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | p_Rd(x_140) | (~p_Wr(x_140)) | p_Data_out(x_139, x_140))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(83,plain,
% 0.18/0.41 ((~![X_k1_64: $i, X_t_42: $i] : (p_Reset(X_t_42) | (~p_Data_out(X_k1_64, plus(X_t_42, n1))) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | p_Data_out(X_k1_64, X_t_42))) | p_Rd(x_140) | p_Data_out(x_139, x_140) | p_Reset(x_140) | (~p_Data_out(x_139, plus(x_140, n1))) | (~p_Wr(x_140))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.18/0.41 tff(84,plain,
% 0.18/0.41 ($false),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[83, 77, 11, 8, 50, 46, 67])).
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 % E exiting
%------------------------------------------------------------------------------