TSTP Solution File: GEO084+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 : Sat Jul 16 05:02:32 EDT 2022
% Result : Theorem 0.46s 1.40s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.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 : 600
% 0.12/0.33 % DateTime : Sat Jun 18 04:06:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.42
% 0.46/1.42 %-----------------------------------------------------
% 0.46/1.42 fof(corollary_2_6_2, conjecture, ! [_44735, _44738, _44741, _44744] : (part_of(_44735, _44741) & part_of(_44738, _44741) & meet(_44744, _44735, _44738) => part_of(sum(_44735, _44738), _44741)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', corollary_2_6_2)).
% 0.46/1.42 fof(part_of_defn, axiom, ! [_45038, _45041] : (part_of(_45041, _45038) <=> ! [_45059] : (incident_c(_45059, _45041) => incident_c(_45059, _45038))), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', part_of_defn)).
% 0.46/1.42 fof(sum_defn, axiom, ! [_45268, _45271, _45274] : (_45268 = sum(_45271, _45274) <=> ! [_45295] : (incident_c(_45295, _45268) <=> incident_c(_45295, _45271) | incident_c(_45295, _45274))), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', sum_defn)).
% 0.46/1.42
% 0.46/1.42 cnf(1, plain, [-(part_of(14 ^ [], 16 ^ []))], clausify(corollary_2_6_2)).
% 0.46/1.42 cnf(2, plain, [-(part_of(15 ^ [], 16 ^ []))], clausify(corollary_2_6_2)).
% 0.46/1.42 cnf(3, plain, [part_of(sum(14 ^ [], 15 ^ []), 16 ^ [])], clausify(corollary_2_6_2)).
% 0.46/1.42 cnf(4, plain, [-(sum(_17466, _17599) = sum(_17533, _17664)), _17466 = _17533, _17599 = _17664], theory(equality)).
% 0.46/1.42 cnf(5, plain, [-(_12294 = _12294)], theory(equality)).
% 0.46/1.42 cnf(6, plain, [-(part_of(_18182, _18126)), -(incident_c(1 ^ [_18182, _18126], _18182))], clausify(part_of_defn)).
% 0.46/1.42 cnf(7, plain, [-(part_of(_18182, _18126)), incident_c(1 ^ [_18182, _18126], _18126)], clausify(part_of_defn)).
% 0.46/1.42 cnf(8, plain, [part_of(_18182, _18126), incident_c(_18296, _18182), -(incident_c(_18296, _18126))], clausify(part_of_defn)).
% 0.46/1.42 cnf(9, plain, [_18587 = sum(_18657, _18726), incident_c(_18890, _18587), -(incident_c(_18890, _18657)), -(incident_c(_18890, _18726))], clausify(sum_defn)).
% 0.46/1.42
% 0.46/1.42 cnf('1',plain,[part_of(sum(14 ^ [], 15 ^ []), 16 ^ [])],start(3)).
% 0.46/1.42 cnf('1.1',plain,[-(part_of(sum(14 ^ [], 15 ^ []), 16 ^ [])), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], sum(14 ^ [], 15 ^ [])))],extension(6,bind([[_18126, _18182], [16 ^ [], sum(14 ^ [], 15 ^ [])]]))).
% 0.46/1.42 cnf('1.1.1',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], sum(14 ^ [], 15 ^ [])), sum(14 ^ [], 15 ^ []) = sum(14 ^ [], 15 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 14 ^ [])), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 15 ^ []))],extension(9,bind([[_18587, _18657, _18890, _18726], [sum(14 ^ [], 15 ^ []), 14 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 15 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.1',plain,[-(sum(14 ^ [], 15 ^ []) = sum(14 ^ [], 15 ^ [])), 14 ^ [] = 14 ^ [], 15 ^ [] = 15 ^ []],extension(4,bind([[_17466, _17533, _17599, _17664], [14 ^ [], 14 ^ [], 15 ^ [], 15 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(5,bind([[_12294], [14 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.1.2',plain,[-(15 ^ [] = 15 ^ [])],extension(5,bind([[_12294], [15 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 14 ^ []), part_of(14 ^ [], 16 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 16 ^ []))],extension(8,bind([[_18182, _18296, _18126], [14 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 16 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.2.1',plain,[-(part_of(14 ^ [], 16 ^ []))],extension(1)).
% 0.46/1.42 cnf('1.1.1.2.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 16 ^ []), -(part_of(sum(14 ^ [], 15 ^ []), 16 ^ []))],extension(7,bind([[_18182, _18126], [sum(14 ^ [], 15 ^ []), 16 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.2.2.1',plain,[part_of(sum(14 ^ [], 15 ^ []), 16 ^ [])],extension(3)).
% 0.46/1.42 cnf('1.1.1.3',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 15 ^ []), part_of(15 ^ [], 16 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 16 ^ []))],extension(8,bind([[_18182, _18296, _18126], [15 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 16 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.3.1',plain,[-(part_of(15 ^ [], 16 ^ []))],extension(2)).
% 0.46/1.42 cnf('1.1.1.3.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), 16 ^ []], 16 ^ []), -(part_of(sum(14 ^ [], 15 ^ []), 16 ^ []))],extension(7,bind([[_18182, _18126], [sum(14 ^ [], 15 ^ []), 16 ^ []]]))).
% 0.46/1.42 cnf('1.1.1.3.2.1',plain,[part_of(sum(14 ^ [], 15 ^ []), 16 ^ [])],extension(3)).
% 0.46/1.42 %-----------------------------------------------------
% 0.46/1.42
% 0.46/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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