TSTP Solution File: GEO093+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO093+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 05:02:37 EDT 2022
% Result : Theorem 57.66s 56.50s
% Output : Proof 57.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO093+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 03:56:13 EDT 2022
% 0.14/0.36 % CPUTime :
% 57.66/56.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.66/56.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.66/56.51
% 57.66/56.51 %-----------------------------------------------------
% 57.66/56.51 fof(sum_defn, axiom, ! [_46890, _46893, _46896] : (_46890 = sum(_46893, _46896) <=> ! [_46917] : (incident_c(_46917, _46890) <=> incident_c(_46917, _46893) | incident_c(_46917, _46896))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', sum_defn)).
% 57.66/56.51 fof(part_of_defn, axiom, ! [_47146, _47149] : (part_of(_47149, _47146) <=> ! [_47167] : (incident_c(_47167, _47149) => incident_c(_47167, _47146))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', part_of_defn)).
% 57.66/56.51 fof(proposition_2_14_2, conjecture, ! [_47362, _47365, _47368, _47371] : (open(_47362) & part_of(_47365, _47362) & part_of(_47368, _47362) & meet(_47371, _47365, _47368) => open(sum(_47365, _47368))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', proposition_2_14_2)).
% 57.66/56.51 fof(c1, axiom, ! [_47750, _47753] : (part_of(_47753, _47750) & (! _47753) = _47750 => open(_47753)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c1)).
% 57.66/56.51
% 57.66/56.51 cnf(1, plain, [-(4 ^ [_18817, _18748, _18678]), incident_c(_18981, _18678), -(incident_c(_18981, _18748)), -(incident_c(_18981, _18817))], clausify(sum_defn)).
% 57.66/56.51 cnf(2, plain, [-(2 ^ [_18273, _18217]), incident_c(1 ^ [_18273, _18217], _18217)], clausify(part_of_defn)).
% 57.66/56.51 cnf(3, plain, [-(2 ^ [_18273, _18217]), -(incident_c(1 ^ [_18273, _18217], _18273))], clausify(part_of_defn)).
% 57.66/56.51 cnf(4, plain, [-(open(29 ^ []))], clausify(proposition_2_14_2)).
% 57.66/56.51 cnf(5, plain, [-(part_of(30 ^ [], 29 ^ []))], clausify(proposition_2_14_2)).
% 57.66/56.51 cnf(6, plain, [-(part_of(31 ^ [], 29 ^ []))], clausify(proposition_2_14_2)).
% 57.66/56.51 cnf(7, plain, [open(sum(30 ^ [], 31 ^ []))], clausify(proposition_2_14_2)).
% 57.66/56.51 cnf(8, plain, [-(_12385 = _12385)], theory(equality)).
% 57.66/56.51 cnf(9, plain, [_12538 = _12583, -(_12583 = _12538)], theory(equality)).
% 57.66/56.51 cnf(10, plain, [-(open(_16568)), _16519 = _16568, open(_16519)], theory(equality)).
% 57.66/56.51 cnf(11, plain, [-(part_of(_18273, _18217)), 2 ^ [_18273, _18217]], clausify(part_of_defn)).
% 57.66/56.51 cnf(12, plain, [part_of(_18273, _18217), incident_c(_18387, _18273), -(incident_c(_18387, _18217))], clausify(part_of_defn)).
% 57.66/56.51 cnf(13, plain, [_18678 = sum(_18748, _18817), 4 ^ [_18817, _18748, _18678]], clausify(sum_defn)).
% 57.66/56.51 cnf(14, plain, [-(open(_22392)), part_of(_22392, _22340), -(_22392 = _22340)], clausify(c1)).
% 57.66/56.51
% 57.66/56.51 cnf('1',plain,[-(open(29 ^ []))],start(4)).
% 57.66/56.51 cnf('1.1',plain,[open(29 ^ []), -(open(sum(30 ^ [], 31 ^ []))), 29 ^ [] = sum(30 ^ [], 31 ^ [])],extension(10,bind([[_16519, _16568], [29 ^ [], sum(30 ^ [], 31 ^ [])]]))).
% 57.66/56.51 cnf('1.1.1',plain,[open(sum(30 ^ [], 31 ^ []))],extension(7)).
% 57.66/56.51 cnf('1.1.2',plain,[-(29 ^ [] = sum(30 ^ [], 31 ^ [])), sum(30 ^ [], 31 ^ []) = 29 ^ []],extension(9,bind([[_12538, _12583], [sum(30 ^ [], 31 ^ []), 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1',plain,[-(sum(30 ^ [], 31 ^ []) = 29 ^ []), -(open(sum(30 ^ [], 31 ^ []))), part_of(sum(30 ^ [], 31 ^ []), 29 ^ [])],extension(14,bind([[_22392, _22340], [sum(30 ^ [], 31 ^ []), 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.1',plain,[open(sum(30 ^ [], 31 ^ []))],extension(7)).
% 57.66/56.51 cnf('1.1.2.1.2',plain,[-(part_of(sum(30 ^ [], 31 ^ []), 29 ^ [])), 2 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []]],extension(11,bind([[_18273, _18217], [sum(30 ^ [], 31 ^ []), 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1',plain,[-(2 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []]), -(incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], sum(30 ^ [], 31 ^ [])))],extension(3,bind([[_18217, _18273], [29 ^ [], sum(30 ^ [], 31 ^ [])]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1',plain,[incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], sum(30 ^ [], 31 ^ [])), -(4 ^ [31 ^ [], 30 ^ [], sum(30 ^ [], 31 ^ [])]), -(incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 30 ^ [])), -(incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 31 ^ []))],extension(1,bind([[_18678, _18748, _18981, _18817], [sum(30 ^ [], 31 ^ []), 30 ^ [], 1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 31 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.1',plain,[4 ^ [31 ^ [], 30 ^ [], sum(30 ^ [], 31 ^ [])], sum(30 ^ [], 31 ^ []) = sum(30 ^ [], 31 ^ [])],extension(13,bind([[_18678, _18748, _18817], [sum(30 ^ [], 31 ^ []), 30 ^ [], 31 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.1.1',plain,[-(sum(30 ^ [], 31 ^ []) = sum(30 ^ [], 31 ^ []))],extension(8,bind([[_12385], [sum(30 ^ [], 31 ^ [])]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.2',plain,[incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 30 ^ []), part_of(30 ^ [], 29 ^ []), -(incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 29 ^ []))],extension(12,bind([[_18273, _18387, _18217], [30 ^ [], 1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.2.1',plain,[-(part_of(30 ^ [], 29 ^ []))],extension(5)).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.2.2',plain,[incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 29 ^ []), -(2 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []])],extension(2,bind([[_18273, _18217], [sum(30 ^ [], 31 ^ []), 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.2.2.1',plain,[2 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []]],reduction('1.1.2.1.2')).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.3',plain,[incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 31 ^ []), part_of(31 ^ [], 29 ^ []), -(incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 29 ^ []))],extension(12,bind([[_18273, _18387, _18217], [31 ^ [], 1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.3.1',plain,[-(part_of(31 ^ [], 29 ^ []))],extension(6)).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.3.2',plain,[incident_c(1 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []], 29 ^ []), -(2 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []])],extension(2,bind([[_18273, _18217], [sum(30 ^ [], 31 ^ []), 29 ^ []]]))).
% 57.66/56.51 cnf('1.1.2.1.2.1.1.3.2.1',plain,[2 ^ [sum(30 ^ [], 31 ^ []), 29 ^ []]],reduction('1.1.2.1.2')).
% 57.66/56.51 %-----------------------------------------------------
% 57.66/56.52
% 57.66/56.52 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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