TSTP Solution File: GEO083+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 05:02:31 EDT 2022
% Result : Theorem 1.71s 2.48s
% Output : Proof 1.71s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 18 18:33:13 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.71/2.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/2.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/2.49
% 1.71/2.49 %-----------------------------------------------------
% 1.71/2.49 fof(corollary_2_6_1, conjecture, ! [_47633, _47636, _47639, _47642] : (part_of(_47636, _47639) & meet(_47642, _47633, _47636) & meet(_47642, _47633, _47639) => part_of(sum(_47633, _47636), sum(_47633, _47639))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary_2_6_1)).
% 1.71/2.49 fof(part_of_defn, axiom, ! [_47960, _47963] : (part_of(_47963, _47960) <=> ! [_47981] : (incident_c(_47981, _47963) => incident_c(_47981, _47960))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', part_of_defn)).
% 1.71/2.49 fof(sum_defn, axiom, ! [_48188, _48191, _48194] : (_48188 = sum(_48191, _48194) <=> ! [_48215] : (incident_c(_48215, _48188) <=> incident_c(_48215, _48191) | incident_c(_48215, _48194))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', sum_defn)).
% 1.71/2.49
% 1.71/2.49 cnf(1, plain, [-(part_of(15 ^ [], 16 ^ []))], clausify(corollary_2_6_1)).
% 1.71/2.49 cnf(2, plain, [part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ []))], clausify(corollary_2_6_1)).
% 1.71/2.49 cnf(3, plain, [-(sum(_17540, _17673) = sum(_17607, _17738)), _17540 = _17607, _17673 = _17738], theory(equality)).
% 1.71/2.49 cnf(4, plain, [-(_12368 = _12368)], theory(equality)).
% 1.71/2.49 cnf(5, plain, [-(incident_c(_14296, _14427)), incident_c(_14229, _14362), _14229 = _14296, _14362 = _14427], theory(equality)).
% 1.71/2.49 cnf(6, plain, [-(part_of(_18256, _18200)), -(incident_c(1 ^ [_18256, _18200], _18256))], clausify(part_of_defn)).
% 1.71/2.49 cnf(7, plain, [-(part_of(_18256, _18200)), incident_c(1 ^ [_18256, _18200], _18200)], clausify(part_of_defn)).
% 1.71/2.49 cnf(8, plain, [part_of(_18256, _18200), incident_c(_18370, _18256), -(incident_c(_18370, _18200))], clausify(part_of_defn)).
% 1.71/2.49 cnf(9, plain, [_18661 = sum(_18731, _18800), -(incident_c(_18964, _18661)), incident_c(_18964, _18731)], clausify(sum_defn)).
% 1.71/2.49 cnf(10, plain, [_18661 = sum(_18731, _18800), -(incident_c(_18964, _18661)), incident_c(_18964, _18800)], clausify(sum_defn)).
% 1.71/2.49 cnf(11, plain, [_18661 = sum(_18731, _18800), incident_c(_18964, _18661), -(incident_c(_18964, _18731)), -(incident_c(_18964, _18800))], clausify(sum_defn)).
% 1.71/2.49
% 1.71/2.49 cnf('1',plain,[part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ []))],start(2)).
% 1.71/2.49 cnf('1.1',plain,[-(part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ []))), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 15 ^ [])))],extension(6,bind([[_18200, _18256], [sum(14 ^ [], 16 ^ []), sum(14 ^ [], 15 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 15 ^ [])), sum(14 ^ [], 15 ^ []) = sum(14 ^ [], 15 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 14 ^ [])), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 15 ^ []))],extension(11,bind([[_18661, _18731, _18964, _18800], [sum(14 ^ [], 15 ^ []), 14 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 15 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.1',plain,[-(sum(14 ^ [], 15 ^ []) = sum(14 ^ [], 15 ^ [])), 14 ^ [] = 14 ^ [], 15 ^ [] = 15 ^ []],extension(3,bind([[_17540, _17607, _17673, _17738], [14 ^ [], 14 ^ [], 15 ^ [], 15 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(4,bind([[_12368], [14 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.1.2',plain,[-(15 ^ [] = 15 ^ [])],extension(4,bind([[_12368], [15 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 14 ^ []), sum(14 ^ [], 16 ^ []) = sum(14 ^ [], 16 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])))],extension(9,bind([[_18731, _18800, _18964, _18661], [14 ^ [], 16 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.2.1',plain,[-(sum(14 ^ [], 16 ^ []) = sum(14 ^ [], 16 ^ [])), 14 ^ [] = 14 ^ [], 16 ^ [] = 16 ^ []],extension(3,bind([[_17540, _17607, _17673, _17738], [14 ^ [], 14 ^ [], 16 ^ [], 16 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.2.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(4,bind([[_12368], [14 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.2.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(4,bind([[_12368], [16 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.2.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ []))), 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])] = 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ []) = sum(14 ^ [], 16 ^ [])],extension(5,bind([[_14229, _14296, _14362, _14427], [1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ []), sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.2.2.1',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])), -(part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])))],extension(7,bind([[_18256, _18200], [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.2.2.1.1',plain,[part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ []))],extension(2)).
% 1.71/2.49 cnf('1.1.1.2.2.2',plain,[-(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])] = 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])])],extension(4,bind([[_12368], [1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])]]]))).
% 1.71/2.49 cnf('1.1.1.2.2.3',plain,[-(sum(14 ^ [], 16 ^ []) = sum(14 ^ [], 16 ^ []))],extension(4,bind([[_12368], [sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.3',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 15 ^ []), part_of(15 ^ [], 16 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 16 ^ []))],extension(8,bind([[_18256, _18370, _18200], [15 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 16 ^ []]]))).
% 1.71/2.49 cnf('1.1.1.3.1',plain,[-(part_of(15 ^ [], 16 ^ []))],extension(1)).
% 1.71/2.49 cnf('1.1.1.3.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], 16 ^ []), sum(14 ^ [], 16 ^ []) = sum(14 ^ [], 16 ^ []), -(incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])))],extension(10,bind([[_18731, _18800, _18964, _18661], [14 ^ [], 16 ^ [], 1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.3.2.1',plain,[-(sum(14 ^ [], 16 ^ []) = sum(14 ^ [], 16 ^ []))],extension(4,bind([[_12368], [sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.3.2.2',plain,[incident_c(1 ^ [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])], sum(14 ^ [], 16 ^ [])), -(part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])))],extension(7,bind([[_18256, _18200], [sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ [])]]))).
% 1.71/2.49 cnf('1.1.1.3.2.2.1',plain,[part_of(sum(14 ^ [], 15 ^ []), sum(14 ^ [], 16 ^ []))],extension(2)).
% 1.71/2.49 %-----------------------------------------------------
% 1.71/2.50
% 1.71/2.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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