TSTP Solution File: SET014+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET014+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 : Tue Jul 19 02:49:55 EDT 2022
% Result : Theorem 0.81s 1.46s
% Output : Proof 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET014+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.15 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 10:30:57 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.81/1.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.47 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.47
% 0.91/1.47 %-----------------------------------------------------
% 0.91/1.47 fof(thI45, conjecture, ! [_37091, _37094, _37097] : (subset(_37094, _37091) & subset(_37097, _37091) <=> subset(union(_37094, _37097), _37091)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI45)).
% 0.91/1.47 fof(subset, axiom, ! [_37361, _37364] : (subset(_37361, _37364) <=> ! [_37382] : (member(_37382, _37361) => member(_37382, _37364))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.91/1.47 fof(intersection, axiom, ! [_37595, _37598, _37601] : (member(_37595, intersection(_37598, _37601)) <=> member(_37595, _37598) & member(_37595, _37601)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.91/1.47 fof(union, axiom, ! [_37808, _37811, _37814] : (member(_37808, union(_37811, _37814)) <=> member(_37808, _37811) | member(_37808, _37814)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', union)).
% 0.91/1.47
% 0.91/1.47 cnf(1, plain, [-(8 ^ []), subset(5 ^ [], 4 ^ []), subset(6 ^ [], 4 ^ [])], clausify(thI45)).
% 0.91/1.47 cnf(2, plain, [-(8 ^ []), -(subset(union(5 ^ [], 6 ^ []), 4 ^ []))], clausify(thI45)).
% 0.91/1.47 cnf(3, plain, [-(7 ^ []), subset(union(5 ^ [], 6 ^ []), 4 ^ [])], clausify(thI45)).
% 0.91/1.47 cnf(4, plain, [-(7 ^ []), -(subset(6 ^ [], 4 ^ []))], clausify(thI45)).
% 0.91/1.47 cnf(5, plain, [-(7 ^ []), -(subset(5 ^ [], 4 ^ []))], clausify(thI45)).
% 0.91/1.47 cnf(6, plain, [7 ^ [], 8 ^ []], clausify(thI45)).
% 0.91/1.47 cnf(7, plain, [-(subset(_14777, _14833)), -(member(1 ^ [_14833, _14777], _14777))], clausify(subset)).
% 0.91/1.47 cnf(8, plain, [-(subset(_14777, _14833)), member(1 ^ [_14833, _14777], _14833)], clausify(subset)).
% 0.91/1.47 cnf(9, plain, [subset(_14777, _14833), member(_14947, _14777), -(member(_14947, _14833))], clausify(subset)).
% 0.91/1.47 cnf(10, plain, [member(_15964, intersection(_16023, _16081)), -(member(_15964, _16081))], clausify(intersection)).
% 0.91/1.47 cnf(11, plain, [-(member(_15964, intersection(_16023, _16081))), member(_15964, _16023), member(_15964, _16081)], clausify(intersection)).
% 0.91/1.47 cnf(12, plain, [-(member(_16477, union(_16536, _16594))), member(_16477, _16536)], clausify(union)).
% 0.91/1.47 cnf(13, plain, [-(member(_16477, union(_16536, _16594))), member(_16477, _16594)], clausify(union)).
% 0.91/1.47 cnf(14, plain, [member(_16477, union(_16536, _16594)), -(member(_16477, _16536)), -(member(_16477, _16594))], clausify(union)).
% 0.91/1.47
% 0.91/1.47 cnf('1',plain,[7 ^ [], 8 ^ []],start(6)).
% 0.91/1.47 cnf('1.1',plain,[-(7 ^ []), subset(union(5 ^ [], 6 ^ []), 4 ^ [])],extension(3)).
% 0.91/1.47 cnf('1.1.1',plain,[-(subset(union(5 ^ [], 6 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], union(5 ^ [], 6 ^ [])))],extension(7,bind([[_14833, _14777], [4 ^ [], union(5 ^ [], 6 ^ [])]]))).
% 0.91/1.47 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], union(5 ^ [], 6 ^ [])), -(member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 5 ^ [])), -(member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 6 ^ []))],extension(14,bind([[_16536, _16477, _16594], [5 ^ [], 1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 6 ^ []]]))).
% 0.91/1.47 cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 5 ^ []), subset(5 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 4 ^ []))],extension(9,bind([[_14777, _14947, _14833], [5 ^ [], 1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 4 ^ []]]))).
% 0.91/1.47 cnf('1.1.1.1.1.1',plain,[-(subset(5 ^ [], 4 ^ [])), -(7 ^ [])],extension(5)).
% 0.91/1.47 cnf('1.1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.91/1.47 cnf('1.1.1.1.1.2',plain,[member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 4 ^ []), -(subset(union(5 ^ [], 6 ^ []), 4 ^ []))],extension(8,bind([[_14777, _14833], [union(5 ^ [], 6 ^ []), 4 ^ []]]))).
% 0.91/1.47 cnf('1.1.1.1.1.2.1',plain,[subset(union(5 ^ [], 6 ^ []), 4 ^ [])],reduction('1.1')).
% 0.91/1.47 cnf('1.1.1.1.2',plain,[member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 6 ^ []), subset(6 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 4 ^ []))],extension(9,bind([[_14777, _14947, _14833], [6 ^ [], 1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 4 ^ []]]))).
% 0.91/1.47 cnf('1.1.1.1.2.1',plain,[-(subset(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(4)).
% 0.91/1.47 cnf('1.1.1.1.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.91/1.47 cnf('1.1.1.1.2.2',plain,[member(1 ^ [4 ^ [], union(5 ^ [], 6 ^ [])], 4 ^ []), -(subset(union(5 ^ [], 6 ^ []), 4 ^ []))],extension(8,bind([[_14777, _14833], [union(5 ^ [], 6 ^ []), 4 ^ []]]))).
% 0.91/1.47 cnf('1.1.1.1.2.2.1',plain,[subset(union(5 ^ [], 6 ^ []), 4 ^ [])],reduction('1.1')).
% 0.91/1.47 cnf('1.2',plain,[-(8 ^ []), subset(5 ^ [], 4 ^ []), subset(6 ^ [], 4 ^ [])],extension(1)).
% 0.91/1.47 cnf('1.2.1',plain,[-(subset(5 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 5 ^ []], 5 ^ []))],extension(7,bind([[_14833, _14777], [4 ^ [], 5 ^ []]]))).
% 0.91/1.47 cnf('1.2.1.1',plain,[member(1 ^ [4 ^ [], 5 ^ []], 5 ^ []), -(member(1 ^ [4 ^ [], 5 ^ []], intersection(5 ^ [], 4 ^ []))), member(1 ^ [4 ^ [], 5 ^ []], 4 ^ [])],extension(11,bind([[_16023, _15964, _16081], [5 ^ [], 1 ^ [4 ^ [], 5 ^ []], 4 ^ []]]))).
% 0.91/1.47 cnf('1.2.1.1.1',plain,[member(1 ^ [4 ^ [], 5 ^ []], intersection(5 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 5 ^ []], 4 ^ []))],extension(10,bind([[_16023, _15964, _16081], [5 ^ [], 1 ^ [4 ^ [], 5 ^ []], 4 ^ []]]))).
% 0.91/1.47 cnf('1.2.1.1.1.1',plain,[member(1 ^ [4 ^ [], 5 ^ []], 4 ^ []), -(subset(5 ^ [], 4 ^ []))],extension(8,bind([[_14777, _14833], [5 ^ [], 4 ^ []]]))).
% 0.91/1.47 cnf('1.2.1.1.1.1.1',plain,[subset(5 ^ [], 4 ^ [])],reduction('1.2')).
% 0.91/1.47 cnf('1.2.1.1.2',plain,[-(member(1 ^ [4 ^ [], 5 ^ []], 4 ^ [])), subset(union(5 ^ [], 6 ^ []), 4 ^ []), member(1 ^ [4 ^ [], 5 ^ []], union(5 ^ [], 6 ^ []))],extension(9,bind([[_14833, _14947, _14777], [4 ^ [], 1 ^ [4 ^ [], 5 ^ []], union(5 ^ [], 6 ^ [])]]))).
% 0.91/1.47 cnf('1.2.1.1.2.1',plain,[-(subset(union(5 ^ [], 6 ^ []), 4 ^ [])), -(8 ^ [])],extension(2)).
% 0.91/1.47 cnf('1.2.1.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.91/1.47 cnf('1.2.1.1.2.2',plain,[-(member(1 ^ [4 ^ [], 5 ^ []], union(5 ^ [], 6 ^ []))), member(1 ^ [4 ^ [], 5 ^ []], 5 ^ [])],extension(12,bind([[_16594, _16477, _16536], [6 ^ [], 1 ^ [4 ^ [], 5 ^ []], 5 ^ []]]))).
% 0.91/1.47 cnf('1.2.1.1.2.2.1',plain,[-(member(1 ^ [4 ^ [], 5 ^ []], 5 ^ []))],reduction('1.2.1')).
% 0.91/1.47 cnf('1.2.2',plain,[-(subset(6 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 6 ^ []], 6 ^ []))],extension(7,bind([[_14833, _14777], [4 ^ [], 6 ^ []]]))).
% 0.91/1.47 cnf('1.2.2.1',plain,[member(1 ^ [4 ^ [], 6 ^ []], 6 ^ []), -(member(1 ^ [4 ^ [], 6 ^ []], intersection(6 ^ [], 4 ^ []))), member(1 ^ [4 ^ [], 6 ^ []], 4 ^ [])],extension(11,bind([[_16023, _15964, _16081], [6 ^ [], 1 ^ [4 ^ [], 6 ^ []], 4 ^ []]]))).
% 0.91/1.47 cnf('1.2.2.1.1',plain,[member(1 ^ [4 ^ [], 6 ^ []], intersection(6 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 6 ^ []], 4 ^ []))],extension(10,bind([[_16023, _15964, _16081], [6 ^ [], 1 ^ [4 ^ [], 6 ^ []], 4 ^ []]]))).
% 0.91/1.47 cnf('1.2.2.1.1.1',plain,[member(1 ^ [4 ^ [], 6 ^ []], 4 ^ []), -(subset(6 ^ [], 4 ^ []))],extension(8,bind([[_14777, _14833], [6 ^ [], 4 ^ []]]))).
% 0.91/1.47 cnf('1.2.2.1.1.1.1',plain,[subset(6 ^ [], 4 ^ [])],reduction('1.2')).
% 0.91/1.47 cnf('1.2.2.1.2',plain,[-(member(1 ^ [4 ^ [], 6 ^ []], 4 ^ [])), subset(union(5 ^ [], 6 ^ []), 4 ^ []), member(1 ^ [4 ^ [], 6 ^ []], union(5 ^ [], 6 ^ []))],extension(9,bind([[_14833, _14947, _14777], [4 ^ [], 1 ^ [4 ^ [], 6 ^ []], union(5 ^ [], 6 ^ [])]]))).
% 0.91/1.47 cnf('1.2.2.1.2.1',plain,[-(subset(union(5 ^ [], 6 ^ []), 4 ^ [])), -(8 ^ [])],extension(2)).
% 0.91/1.47 cnf('1.2.2.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.91/1.47 cnf('1.2.2.1.2.2',plain,[-(member(1 ^ [4 ^ [], 6 ^ []], union(5 ^ [], 6 ^ []))), member(1 ^ [4 ^ [], 6 ^ []], 6 ^ [])],extension(13,bind([[_16536, _16477, _16594], [5 ^ [], 1 ^ [4 ^ [], 6 ^ []], 6 ^ []]]))).
% 0.91/1.47 cnf('1.2.2.1.2.2.1',plain,[-(member(1 ^ [4 ^ [], 6 ^ []], 6 ^ []))],reduction('1.2.2')).
% 0.91/1.47 %-----------------------------------------------------
% 0.91/1.48
% 0.91/1.48 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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