TSTP Solution File: COM133+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM133+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 : 600s
% DateTime : Fri Jul 15 01:28:12 EDT 2022
% Result : Theorem 29.73s 29.50s
% Output : Proof 29.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM133+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 19:13:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 29.73/29.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.73/29.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.73/29.51
% 29.73/29.51 %-----------------------------------------------------
% 29.73/29.51 fof('T-subst-abs', conjecture, ! [_183933, _183936, _183939, _183942, _183945, _183948, _183951] : (vtcheck(_183936, _183942, _183933) & vtcheck(vbind(_183939, _183933, _183936), vabs(_183945, _183948, veabs), _183951) => vtcheck(_183936, vsubst(_183939, _183942, vabs(_183945, _183948, veabs)), _183951)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs')).
% 29.73/29.51 fof('T-subst-abs-1', axiom, ! [_184322, _184325, _184328, _184331, _184334, _184337, _184340, _184343] : (_184328 = _184334 & vtcheck(_184325, _184331, _184322) & vtcheck(vbind(_184328, _184322, _184325), vabs(_184334, _184337, _184340), _184343) => vtcheck(_184325, vsubst(_184328, _184331, vabs(_184334, _184337, _184340)), _184343)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs-1')).
% 29.73/29.51 fof('T-subst-abs-2', axiom, ! [_184699, _184702, _184705, _184708, _184711, _184714, _184717] : ((! _184705) = _184711 & ~ visFreeVar(_184711, _184708) & vtcheck(_184702, _184708, _184699) & vtcheck(vbind(_184705, _184699, _184702), vabs(_184711, _184714, veabs), _184717) => vtcheck(_184702, vsubst(_184705, _184708, vabs(_184711, _184714, veabs)), _184717)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs-2')).
% 29.73/29.51 fof('T-subst-abs-3', axiom, ! [_185107, _185110, _185113, _185116, _185119, _185122, _185125] : ((! _185113) = _185119 & visFreeVar(_185119, _185116) & vtcheck(_185110, _185116, _185107) & vtcheck(vbind(_185113, _185107, _185110), vabs(_185119, _185122, veabs), _185125) => vtcheck(_185110, vsubst(_185113, _185116, vabs(_185119, _185122, veabs)), _185125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs-3')).
% 29.73/29.51
% 29.73/29.51 cnf(1, plain, [-(vtcheck(107 ^ [], 109 ^ [], 106 ^ []))], clausify('T-subst-abs')).
% 29.73/29.51 cnf(2, plain, [-(vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ []))], clausify('T-subst-abs')).
% 29.73/29.51 cnf(3, plain, [vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])], clausify('T-subst-abs')).
% 29.73/29.51 cnf(4, plain, [-(vtcheck(_134937, vsubst(_135042, _135146, vabs(_135249, _135351, _135452)), _135552)), _135042 = _135249, vtcheck(_134937, _135146, _134831), vtcheck(vbind(_135042, _134831, _134937), vabs(_135249, _135351, _135452), _135552)], clausify('T-subst-abs-1')).
% 29.73/29.51 cnf(5, plain, [-(vtcheck(_136601, vsubst(_136711, _136820, vabs(_136928, _137035, veabs)), _137141)), -(_136711 = _136928), -(visFreeVar(_136928, _136820)), vtcheck(_136601, _136820, _136490), vtcheck(vbind(_136711, _136490, _136601), vabs(_136928, _137035, veabs), _137141)], clausify('T-subst-abs-2')).
% 29.73/29.51 cnf(6, plain, [-(vtcheck(_138283, vsubst(_138391, _138498, vabs(_138604, _138709, veabs)), _138813)), -(_138391 = _138604), visFreeVar(_138604, _138498), vtcheck(_138283, _138498, _138174), vtcheck(vbind(_138391, _138174, _138283), vabs(_138604, _138709, veabs), _138813)], clausify('T-subst-abs-3')).
% 29.73/29.51
% 29.73/29.51 cnf('1',plain,[-(vtcheck(107 ^ [], 109 ^ [], 106 ^ []))],start(1)).
% 29.73/29.51 cnf('1.1',plain,[vtcheck(107 ^ [], 109 ^ [], 106 ^ []), -(vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])), -(108 ^ [] = 110 ^ []), -(visFreeVar(110 ^ [], 109 ^ [])), vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ [])],extension(5,bind([[_136820, _136711, _136490, _136601, _136928, _137035, _137141], [109 ^ [], 108 ^ [], 106 ^ [], 107 ^ [], 110 ^ [], 111 ^ [], 112 ^ []]]))).
% 29.73/29.51 cnf('1.1.1',plain,[vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])],extension(3)).
% 29.73/29.51 cnf('1.1.2',plain,[108 ^ [] = 110 ^ [], -(vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])), vtcheck(107 ^ [], 109 ^ [], 106 ^ []), vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ [])],extension(4,bind([[_135146, _135042, _134831, _134937, _135249, _135351, _135452, _135552], [109 ^ [], 108 ^ [], 106 ^ [], 107 ^ [], 110 ^ [], 111 ^ [], veabs, 112 ^ []]]))).
% 29.73/29.51 cnf('1.1.2.1',plain,[vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])],extension(3)).
% 29.73/29.51 cnf('1.1.2.2',plain,[-(vtcheck(107 ^ [], 109 ^ [], 106 ^ []))],extension(1)).
% 29.73/29.51 cnf('1.1.2.3',plain,[-(vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ []))],extension(2)).
% 29.73/29.51 cnf('1.1.3',plain,[visFreeVar(110 ^ [], 109 ^ []), -(vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])), -(108 ^ [] = 110 ^ []), vtcheck(107 ^ [], 109 ^ [], 106 ^ []), vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ [])],extension(6,bind([[_138498, _138391, _138174, _138283, _138604, _138709, _138813], [109 ^ [], 108 ^ [], 106 ^ [], 107 ^ [], 110 ^ [], 111 ^ [], 112 ^ []]]))).
% 29.73/29.51 cnf('1.1.3.1',plain,[vtcheck(107 ^ [], vsubst(108 ^ [], 109 ^ [], vabs(110 ^ [], 111 ^ [], veabs)), 112 ^ [])],extension(3)).
% 29.73/29.51 cnf('1.1.3.2',plain,[108 ^ [] = 110 ^ []],lemmata('1.1')).
% 29.73/29.51 cnf('1.1.3.3',plain,[-(vtcheck(107 ^ [], 109 ^ [], 106 ^ []))],extension(1)).
% 29.73/29.51 cnf('1.1.3.4',plain,[-(vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ []))],extension(2)).
% 29.73/29.51 cnf('1.1.4',plain,[-(vtcheck(vbind(108 ^ [], 106 ^ [], 107 ^ []), vabs(110 ^ [], 111 ^ [], veabs), 112 ^ []))],extension(2)).
% 29.73/29.51 %-----------------------------------------------------
% 29.73/29.52
% 29.73/29.52 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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