TSTP Solution File: GRP001+6 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 10:11:53 EDT 2022
% Result : Theorem 11.44s 11.79s
% Output : Proof 11.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 : Mon Jun 13 14:50:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.44/11.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.44/11.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.44/11.80
% 11.44/11.80 %-----------------------------------------------------
% 11.44/11.80 fof(commutativity, conjecture, ! [_19438] : (! [_19446, _19449] : ? [_19457] : product(_19446, _19449, _19457) & ! [_19446, _19449, _19457, _19484, _19487, _19490] : (product(_19446, _19449, _19484) & product(_19449, _19457, _19487) & product(_19484, _19457, _19490) => product(_19446, _19487, _19490)) & ! [_19446, _19449, _19457, _19484, _19487, _19490] : (product(_19446, _19449, _19484) & product(_19449, _19457, _19487) & product(_19446, _19487, _19490) => product(_19484, _19457, _19490)) & ! [_19446] : product(_19446, _19438, _19446) & ! [_19446] : product(_19438, _19446, _19446) & ! [_19446] : product(_19446, inverse(_19446), _19438) & ! [_19446] : product(inverse(_19446), _19446, _19438) => ! [_19446] : product(_19446, _19446, _19438) => ! [_19484, _19487, _19490] : (product(_19484, _19487, _19490) => product(_19487, _19484, _19490))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity)).
% 11.44/11.80
% 11.44/11.80 cnf(1, plain, [-(product(_8123, _8123, 1 ^ []))], clausify(commutativity)).
% 11.44/11.80 cnf(2, plain, [-(product(3 ^ [], 4 ^ [], 5 ^ []))], clausify(commutativity)).
% 11.44/11.80 cnf(3, plain, [product(4 ^ [], 3 ^ [], 5 ^ [])], clausify(commutativity)).
% 11.44/11.80 cnf(4, plain, [-(product(_7936, _7941, 2 ^ [_7941, _7936]))], clausify(commutativity)).
% 11.44/11.80 cnf(5, plain, [-(product(_7958, _7978, _7983)), product(_7958, _7963, _7973), product(_7963, _7968, _7978), product(_7973, _7968, _7983)], clausify(commutativity)).
% 11.44/11.80 cnf(6, plain, [-(product(_8074, 1 ^ [], _8074))], clausify(commutativity)).
% 11.44/11.80 cnf(7, plain, [-(product(1 ^ [], _8086, _8086))], clausify(commutativity)).
% 11.44/11.80 cnf(8, plain, [-(product(_8031, _8026, _8041)), product(_8016, _8021, _8031), product(_8021, _8026, _8036), product(_8016, _8036, _8041)], clausify(commutativity)).
% 11.44/11.80
% 11.44/11.80 cnf('1',plain,[product(4 ^ [], 3 ^ [], 5 ^ [])],start(3)).
% 11.44/11.80 cnf('1.1',plain,[-(product(4 ^ [], 3 ^ [], 5 ^ [])), product(4 ^ [], 4 ^ [], 1 ^ []), product(4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 3 ^ []), product(1 ^ [], 2 ^ [3 ^ [], 4 ^ []], 5 ^ [])],extension(5,bind([[_7958, _7963, _7978, _7973, _7968, _7983], [4 ^ [], 4 ^ [], 3 ^ [], 1 ^ [], 2 ^ [3 ^ [], 4 ^ []], 5 ^ []]]))).
% 11.44/11.80 cnf('1.1.1',plain,[-(product(4 ^ [], 4 ^ [], 1 ^ []))],extension(1,bind([[_8123], [4 ^ []]]))).
% 11.44/11.80 cnf('1.1.2',plain,[-(product(4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 3 ^ [])), product(4 ^ [], 4 ^ [], 1 ^ []), product(4 ^ [], 3 ^ [], 2 ^ [3 ^ [], 4 ^ []]), product(1 ^ [], 3 ^ [], 3 ^ [])],extension(5,bind([[_7958, _7963, _7978, _7973, _7968, _7983], [4 ^ [], 4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 1 ^ [], 3 ^ [], 3 ^ []]]))).
% 11.44/11.80 cnf('1.1.2.1',plain,[-(product(4 ^ [], 4 ^ [], 1 ^ []))],extension(1,bind([[_8123], [4 ^ []]]))).
% 11.44/11.80 cnf('1.1.2.2',plain,[-(product(4 ^ [], 3 ^ [], 2 ^ [3 ^ [], 4 ^ []]))],extension(4,bind([[_7941, _7936], [3 ^ [], 4 ^ []]]))).
% 11.44/11.80 cnf('1.1.2.3',plain,[-(product(1 ^ [], 3 ^ [], 3 ^ [])), product(1 ^ [], 3 ^ [], 3 ^ []), product(3 ^ [], 1 ^ [], 3 ^ []), product(3 ^ [], 1 ^ [], 3 ^ [])],extension(5,bind([[_7958, _7963, _7978, _7973, _7968, _7983], [1 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 1 ^ [], 3 ^ []]]))).
% 11.44/11.80 cnf('1.1.2.3.1',plain,[-(product(1 ^ [], 3 ^ [], 3 ^ []))],extension(7,bind([[_8086], [3 ^ []]]))).
% 11.44/11.80 cnf('1.1.2.3.2',plain,[-(product(3 ^ [], 1 ^ [], 3 ^ []))],extension(6,bind([[_8074], [3 ^ []]]))).
% 11.44/11.80 cnf('1.1.2.3.3',plain,[-(product(3 ^ [], 1 ^ [], 3 ^ []))],extension(6,bind([[_8074], [3 ^ []]]))).
% 11.44/11.80 cnf('1.1.3',plain,[-(product(1 ^ [], 2 ^ [3 ^ [], 4 ^ []], 5 ^ [])), product(2 ^ [3 ^ [], 5 ^ []], 4 ^ [], 1 ^ []), product(4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 3 ^ []), product(2 ^ [3 ^ [], 5 ^ []], 3 ^ [], 5 ^ [])],extension(8,bind([[_8031, _8021, _8026, _8016, _8036, _8041], [1 ^ [], 4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 2 ^ [3 ^ [], 5 ^ []], 3 ^ [], 5 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.1',plain,[-(product(2 ^ [3 ^ [], 5 ^ []], 4 ^ [], 1 ^ [])), product(5 ^ [], 3 ^ [], 2 ^ [3 ^ [], 5 ^ []]), product(3 ^ [], 4 ^ [], 5 ^ []), product(5 ^ [], 5 ^ [], 1 ^ [])],extension(8,bind([[_8031, _8021, _8026, _8016, _8036, _8041], [2 ^ [3 ^ [], 5 ^ []], 3 ^ [], 4 ^ [], 5 ^ [], 5 ^ [], 1 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.1.1',plain,[-(product(5 ^ [], 3 ^ [], 2 ^ [3 ^ [], 5 ^ []]))],extension(4,bind([[_7941, _7936], [3 ^ [], 5 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.1.2',plain,[-(product(3 ^ [], 4 ^ [], 5 ^ []))],extension(2)).
% 11.44/11.80 cnf('1.1.3.1.3',plain,[-(product(5 ^ [], 5 ^ [], 1 ^ []))],extension(1,bind([[_8123], [5 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.2',plain,[-(product(4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 3 ^ [])), product(4 ^ [], 4 ^ [], 1 ^ []), product(4 ^ [], 3 ^ [], 2 ^ [3 ^ [], 4 ^ []]), product(1 ^ [], 3 ^ [], 3 ^ [])],extension(5,bind([[_7958, _7963, _7978, _7973, _7968, _7983], [4 ^ [], 4 ^ [], 2 ^ [3 ^ [], 4 ^ []], 1 ^ [], 3 ^ [], 3 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.2.1',plain,[-(product(4 ^ [], 4 ^ [], 1 ^ []))],extension(1,bind([[_8123], [4 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.2.2',plain,[-(product(4 ^ [], 3 ^ [], 2 ^ [3 ^ [], 4 ^ []]))],extension(4,bind([[_7941, _7936], [3 ^ [], 4 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.2.3',plain,[-(product(1 ^ [], 3 ^ [], 3 ^ []))],extension(7,bind([[_8086], [3 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.3',plain,[-(product(2 ^ [3 ^ [], 5 ^ []], 3 ^ [], 5 ^ [])), product(5 ^ [], 3 ^ [], 2 ^ [3 ^ [], 5 ^ []]), product(3 ^ [], 3 ^ [], 1 ^ []), product(5 ^ [], 1 ^ [], 5 ^ [])],extension(8,bind([[_8031, _8021, _8026, _8016, _8036, _8041], [2 ^ [3 ^ [], 5 ^ []], 3 ^ [], 3 ^ [], 5 ^ [], 1 ^ [], 5 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.3.1',plain,[-(product(5 ^ [], 3 ^ [], 2 ^ [3 ^ [], 5 ^ []]))],extension(4,bind([[_7941, _7936], [3 ^ [], 5 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.3.2',plain,[-(product(3 ^ [], 3 ^ [], 1 ^ []))],extension(1,bind([[_8123], [3 ^ []]]))).
% 11.44/11.80 cnf('1.1.3.3.3',plain,[-(product(5 ^ [], 1 ^ [], 5 ^ []))],extension(6,bind([[_8074], [5 ^ []]]))).
% 11.44/11.80 %-----------------------------------------------------
% 11.44/11.81
% 11.44/11.81 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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