↑ Up

Z3---4.15.1.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : HWV026-1 : 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 05:08:59 AM UTC 2025

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : HWV026-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n008.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 17:20:04 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.19/0.40  % SZS status Unsatisfiable
% 0.19/0.40  % SZS output start Proof
% 0.19/0.40  tff(p_Wr_error_type, type, (
% 0.19/0.40     p_Wr_error: $i > $o)).
% 0.19/0.40  tff(plus_type, type, (
% 0.19/0.40     plus: ( $i * $i ) > $i)).
% 0.19/0.40  tff(n1_type, type, (
% 0.19/0.40     n1: $i)).
% 0.19/0.40  tff(t_139_type, type, (
% 0.19/0.40     t_139: $i)).
% 0.19/0.40  tff(p_Reset_type, type, (
% 0.19/0.40     p_Reset: $i > $o)).
% 0.19/0.40  tff(p_Wr_type, type, (
% 0.19/0.40     p_Wr: $i > $o)).
% 0.19/0.40  tff(1,assumption,(~p_Wr_error(plus(t_139, n1))), introduced(assumption)).
% 0.19/0.40  tff(2,plain,
% 0.19/0.40      ((p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1))) <=> (p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1)))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(3,axiom,(p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_4')).
% 0.19/0.40  tff(4,plain,
% 0.19/0.40      (p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.40  tff(5,plain,
% 0.19/0.40      (p_Wr_error(t_139)),
% 0.19/0.40      inference(unit_resolution,[status(thm)],[4, 1])).
% 0.19/0.40  tff(6,plain,
% 0.19/0.40      ((~p_Reset(t_139)) <=> (~p_Reset(t_139))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(7,axiom,(~p_Reset(t_139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.40  tff(8,plain,
% 0.19/0.40      (~p_Reset(t_139)),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.40  tff(9,plain,
% 0.19/0.40      ((~p_Wr(t_139)) <=> (~p_Wr(t_139))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(10,axiom,(~p_Wr(t_139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.40  tff(11,plain,
% 0.19/0.40      (~p_Wr(t_139)),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[10, 9])).
% 0.19/0.40  tff(12,plain,
% 0.19/0.40      (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(13,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[12])).
% 0.19/0.40  tff(14,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(15,plain,
% 0.19/0.40      (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Wr_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Wr_error(plus(X_t_42, n1))) | (~p_Wr_error(X_t_42))) <=> ((p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42)) | (~p_Wr_error(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42)) | (~p_Wr_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Wr_error(plus(X_t_42, n1))) | (~p_Wr_error(X_t_42))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(16,plain,
% 0.19/0.40      (![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Wr_error(plus(X_t_42, n1))) | (~p_Wr_error(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[15])).
% 0.19/0.40  tff(17,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Wr_error(plus(X_t_42, n1))) | (~p_Wr_error(X_t_42)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_90')).
% 0.19/0.40  tff(18,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.40  tff(19,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[18, 14])).
% 0.19/0.40  tff(20,plain,(
% 0.19/0.40      ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(skolemize,[status(sab)],[19])).
% 0.19/0.40  tff(21,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[20, 13])).
% 0.19/0.40  tff(22,plain,
% 0.19/0.40      (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | (p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(23,plain,
% 0.19/0.40      ((p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Wr(t_139) | (~p_Wr_error(t_139))) <=> (p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(24,plain,
% 0.19/0.40      (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | (p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Wr(t_139) | (~p_Wr_error(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | (p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1))))),
% 0.19/0.40      inference(monotonicity,[status(thm)],[23])).
% 0.19/0.40  tff(25,plain,
% 0.19/0.40      (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | (p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Wr(t_139) | (~p_Wr_error(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)))),
% 0.19/0.40      inference(transitivity,[status(thm)],[24, 22])).
% 0.19/0.40  tff(26,plain,
% 0.19/0.40      ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | (p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Wr(t_139) | (~p_Wr_error(t_139)))),
% 0.19/0.40      inference(quant_inst,[status(thm)],[])).
% 0.19/0.40  tff(27,plain,
% 0.19/0.40      ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.40  tff(28,plain,
% 0.19/0.40      ((~p_Wr_error(t_139)) | p_Wr_error(plus(t_139, n1))),
% 0.19/0.40      inference(unit_resolution,[status(thm)],[27, 21, 11, 8])).
% 0.19/0.40  tff(29,plain,
% 0.19/0.40      ($false),
% 0.19/0.40      inference(unit_resolution,[status(thm)],[28, 5, 1])).
% 0.19/0.40  tff(30,plain,(p_Wr_error(plus(t_139, n1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40  tff(31,plain,
% 0.19/0.40      (((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1)))) <=> ((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1))))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(32,axiom,((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_3')).
% 0.19/0.40  tff(33,plain,
% 0.19/0.40      ((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1)))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.40  tff(34,plain,
% 0.19/0.40      (~p_Wr_error(t_139)),
% 0.19/0.40      inference(unit_resolution,[status(thm)],[33, 30])).
% 0.19/0.40  tff(35,plain,
% 0.19/0.40      (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42)) <=> (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42)))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(36,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[35])).
% 0.19/0.40  tff(37,plain,
% 0.19/0.40      (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(38,plain,
% 0.19/0.40      (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Wr_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Wr_error(plus(X_t_42, n1)))) | p_Wr_error(X_t_42)) <=> ((p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42)) | p_Wr_error(X_t_42)))), rewrite(((p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42)) | p_Wr_error(X_t_42)) <=> (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Wr_error(plus(X_t_42, n1)))) | p_Wr_error(X_t_42)) <=> (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))))),
% 0.19/0.41      inference(bind,[status(th)],[])).
% 0.19/0.41  tff(39,plain,
% 0.19/0.41      (![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Wr_error(plus(X_t_42, n1)))) | p_Wr_error(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.41      inference(quant_intro,[status(thm)],[38])).
% 0.19/0.41  tff(40,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Wr_error(plus(X_t_42, n1)))) | p_Wr_error(X_t_42))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_89')).
% 0.19/0.41  tff(41,plain,
% 0.19/0.41      (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.41  tff(42,plain,
% 0.19/0.41      (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[41, 37])).
% 0.19/0.41  tff(43,plain,(
% 0.19/0.41      ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.41      inference(skolemize,[status(sab)],[42])).
% 0.19/0.41  tff(44,plain,
% 0.19/0.41      (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[43, 36])).
% 0.19/0.41  tff(45,plain,
% 0.19/0.41      (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | (p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(46,plain,
% 0.19/0.41      ((p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr(t_139) | p_Wr_error(t_139)) <=> (p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(47,plain,
% 0.19/0.41      (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | (p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr(t_139) | p_Wr_error(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | (p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139)))),
% 0.19/0.41      inference(monotonicity,[status(thm)],[46])).
% 0.19/0.41  tff(48,plain,
% 0.19/0.41      (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | (p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr(t_139) | p_Wr_error(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139))),
% 0.19/0.41      inference(transitivity,[status(thm)],[47, 45])).
% 0.19/0.41  tff(49,plain,
% 0.19/0.41      ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | (p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr(t_139) | p_Wr_error(t_139))),
% 0.19/0.41      inference(quant_inst,[status(thm)],[])).
% 0.19/0.41  tff(50,plain,
% 0.19/0.41      ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139)),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[49, 48])).
% 0.19/0.41  tff(51,plain,
% 0.19/0.41      ((~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139)),
% 0.19/0.41      inference(unit_resolution,[status(thm)],[50, 44, 11, 8])).
% 0.19/0.41  tff(52,plain,
% 0.19/0.41      ($false),
% 0.19/0.41      inference(unit_resolution,[status(thm)],[51, 34, 30])).
% 0.19/0.41  % SZS output end Proof
% 0.19/0.41  % E exiting
%------------------------------------------------------------------------------