TSTP Solution File: HWV026-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV026-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 Sep 17 02:10:43 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% 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 v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n005.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 : Wed Aug 31 22:05:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(p_Wr_error_type, type, (
% 0.19/0.43 p_Wr_error: $i > $o)).
% 0.19/0.43 tff(plus_type, type, (
% 0.19/0.43 plus: ( $i * $i ) > $i)).
% 0.19/0.43 tff(n1_type, type, (
% 0.19/0.43 n1: $i)).
% 0.19/0.43 tff(t_139_type, type, (
% 0.19/0.43 t_139: $i)).
% 0.19/0.43 tff(p_Reset_type, type, (
% 0.19/0.43 p_Reset: $i > $o)).
% 0.19/0.43 tff(p_Wr_type, type, (
% 0.19/0.43 p_Wr: $i > $o)).
% 0.19/0.43 tff(1,assumption,(~p_Wr_error(plus(t_139, n1))), introduced(assumption)).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 ((p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1))) <=> (p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(3,axiom,(p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_4')).
% 0.19/0.43 tff(4,plain,
% 0.19/0.43 (p_Wr_error(t_139) | p_Wr_error(plus(t_139, n1))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (p_Wr_error(t_139)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.19/0.43 tff(6,plain,
% 0.19/0.43 ((~p_Reset(t_139)) <=> (~p_Reset(t_139))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(7,axiom,(~p_Reset(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 (~p_Reset(t_139)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.43 tff(9,plain,
% 0.19/0.43 ((~p_Wr(t_139)) <=> (~p_Wr(t_139))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(10,axiom,(~p_Wr(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.43 tff(11,plain,
% 0.19/0.43 (~p_Wr(t_139)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.19/0.43 tff(12,plain,
% 0.19/0.43 (^[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))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(13,plain,
% 0.19/0.43 (![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)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[12])).
% 0.19/0.43 tff(14,plain,
% 0.19/0.43 (![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)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(15,plain,
% 0.19/0.43 (^[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)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(16,plain,
% 0.19/0.43 (![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)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[15])).
% 0.19/0.43 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/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_90')).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (![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)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.43 tff(19,plain,
% 0.19/0.43 (![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)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.19/0.43 tff(20,plain,(
% 0.19/0.43 ![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)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[19])).
% 0.19/0.43 tff(21,plain,
% 0.19/0.43 (![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)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.19/0.43 tff(22,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 ((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)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(24,plain,
% 0.19/0.43 (((~![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))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[23])).
% 0.19/0.43 tff(25,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(transitivity,[status(thm)],[24, 22])).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 ((~![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)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(27,plain,
% 0.19/0.43 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Wr(X_t_42) | (~p_Wr_error(X_t_42)))) | p_Wr(t_139) | (~p_Wr_error(t_139)) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.43 tff(28,plain,
% 0.19/0.43 ((~p_Wr_error(t_139)) | p_Wr_error(plus(t_139, n1))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[27, 21, 11, 8])).
% 0.19/0.43 tff(29,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[28, 5, 1])).
% 0.19/0.43 tff(30,plain,(p_Wr_error(plus(t_139, n1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43 tff(31,plain,
% 0.19/0.43 (((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1)))) <=> ((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(32,axiom,((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.19/0.43 tff(33,plain,
% 0.19/0.43 ((~p_Wr_error(t_139)) | (~p_Wr_error(plus(t_139, n1)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.43 tff(34,plain,
% 0.19/0.43 (~p_Wr_error(t_139)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[33, 30])).
% 0.19/0.43 tff(35,plain,
% 0.19/0.43 (^[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)))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(36,plain,
% 0.19/0.43 (![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))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[35])).
% 0.19/0.43 tff(37,plain,
% 0.19/0.43 (![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))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(38,plain,
% 0.19/0.43 (^[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))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(39,plain,
% 0.19/0.43 (![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))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[38])).
% 0.19/0.43 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/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_89')).
% 0.19/0.43 tff(41,plain,
% 0.19/0.43 (![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))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.43 tff(42,plain,
% 0.19/0.43 (![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))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.19/0.43 tff(43,plain,(
% 0.19/0.43 ![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))),
% 0.19/0.43 inference(skolemize,[status(sab)],[42])).
% 0.19/0.43 tff(44,plain,
% 0.19/0.43 (![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))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.19/0.43 tff(45,plain,
% 0.19/0.43 (((~![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))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(46,plain,
% 0.19/0.43 ((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))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(47,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[46])).
% 0.19/0.43 tff(48,plain,
% 0.19/0.43 (((~![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))),
% 0.19/0.43 inference(transitivity,[status(thm)],[47, 45])).
% 0.19/0.43 tff(49,plain,
% 0.19/0.43 ((~![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))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(50,plain,
% 0.19/0.43 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Wr_error(plus(X_t_42, n1))) | p_Wr(X_t_42) | p_Wr_error(X_t_42))) | p_Wr(t_139) | p_Reset(t_139) | (~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.19/0.43 tff(51,plain,
% 0.19/0.43 ((~p_Wr_error(plus(t_139, n1))) | p_Wr_error(t_139)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[50, 44, 11, 8])).
% 0.19/0.44 tff(52,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[51, 34, 30])).
% 0.19/0.44 % SZS output end Proof
%------------------------------------------------------------------------------