TSTP Solution File: SYN551+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 : Thu Jul 21 08:19:38 EDT 2022
% Result : Theorem 30.27s 30.31s
% Output : Proof 30.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 22:24:34 EDT 2022
% 0.11/0.33 % CPUTime :
% 30.27/30.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.27/30.31 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.27/30.32
% 30.27/30.32 %-----------------------------------------------------
% 30.27/30.32 fof(prove_this_cute_thing, conjecture, ? [_19110] : _19110 = f(g(_19110)) & ! [_19132, _19135] : (_19132 = f(g(_19132)) & _19135 = f(g(_19135)) => _19132 = _19135) <=> ? [_19110] : _19110 = g(f(_19110)) & ! [_19132, _19135] : (_19132 = g(f(_19132)) & _19135 = g(f(_19135)) => _19132 = _19135), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this_cute_thing)).
% 30.27/30.32
% 30.27/30.32 cnf(1, plain, [-(9 ^ []), 7 ^ [] = 8 ^ []], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(2, plain, [-(9 ^ []), -(8 ^ [] = f(g(8 ^ [])))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(3, plain, [-(9 ^ []), -(7 ^ [] = f(g(7 ^ [])))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(4, plain, [-(10 ^ []), -(_6207 = _6266), _6207 = g(f(_6207)), _6266 = g(f(_6266))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(5, plain, [-(10 ^ []), -(6 ^ [] = g(f(6 ^ [])))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(6, plain, [-(10 ^ []), _5537 = f(g(_5537)), 9 ^ []], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(7, plain, [-(4 ^ []), 2 ^ [] = 3 ^ []], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(8, plain, [-(4 ^ []), -(3 ^ [] = g(f(3 ^ [])))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(9, plain, [-(4 ^ []), -(2 ^ [] = g(f(2 ^ [])))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(10, plain, [-(5 ^ []), -(_5663 = _5722), _5663 = f(g(_5663)), _5722 = f(g(_5722))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(11, plain, [-(5 ^ []), -(1 ^ [] = f(g(1 ^ [])))], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(12, plain, [-(5 ^ []), _6081 = g(f(_6081)), 4 ^ []], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(13, plain, [5 ^ [], 10 ^ []], clausify(prove_this_cute_thing)).
% 30.27/30.32 cnf(14, plain, [_4827 = _4876, -(f(_4827) = f(_4876))], theory(equality)).
% 30.27/30.32 cnf(15, plain, [_5146 = _5195, -(g(_5146) = g(_5195))], theory(equality)).
% 30.27/30.32 cnf(16, plain, [_4072 = _4117, -(_4117 = _4072)], theory(equality)).
% 30.27/30.32 cnf(17, plain, [-(_4351 = _4462), _4351 = _4407, _4407 = _4462], theory(equality)).
% 30.27/30.32
% 30.27/30.32 cnf('1',plain,[5 ^ [], 10 ^ []],start(13)).
% 30.27/30.32 cnf('1.1',plain,[-(5 ^ []), 3 ^ [] = g(f(3 ^ [])), 4 ^ []],extension(12,bind([[_6081], [3 ^ []]]))).
% 30.27/30.32 cnf('1.1.1',plain,[-(3 ^ [] = g(f(3 ^ []))), -(4 ^ [])],extension(8)).
% 30.27/30.32 cnf('1.1.1.1',plain,[4 ^ [], -(5 ^ []), g(1 ^ []) = g(f(g(1 ^ [])))],extension(12,bind([[_6081], [g(1 ^ [])]]))).
% 30.27/30.32 cnf('1.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 30.27/30.32 cnf('1.1.1.1.2',plain,[-(g(1 ^ []) = g(f(g(1 ^ [])))), 1 ^ [] = f(g(1 ^ []))],extension(15,bind([[_5146, _5195], [1 ^ [], f(g(1 ^ []))]]))).
% 30.27/30.32 cnf('1.1.1.1.2.1',plain,[-(1 ^ [] = f(g(1 ^ []))), -(5 ^ [])],extension(11)).
% 30.27/30.32 cnf('1.1.1.1.2.1.1',plain,[5 ^ []],lemmata('1.1.1.1')).
% 30.27/30.32 cnf('1.1.2',plain,[-(4 ^ []), -(3 ^ [] = g(f(3 ^ [])))],extension(8)).
% 30.27/30.32 cnf('1.1.2.1',plain,[3 ^ [] = g(f(3 ^ [])), -(f(3 ^ []) = f(g(f(3 ^ []))))],extension(14,bind([[_4827, _4876], [3 ^ [], g(f(3 ^ []))]]))).
% 30.27/30.32 cnf('1.1.2.1.1',plain,[f(3 ^ []) = f(g(f(3 ^ []))), -(5 ^ []), -(f(2 ^ []) = f(3 ^ [])), f(2 ^ []) = f(g(f(2 ^ [])))],extension(10,bind([[_5722, _5663], [f(3 ^ []), f(2 ^ [])]]))).
% 30.27/30.32 cnf('1.1.2.1.1.1',plain,[5 ^ []],reduction('1')).
% 30.27/30.32 cnf('1.1.2.1.1.2',plain,[f(2 ^ []) = f(3 ^ []), -(g(f(2 ^ [])) = g(f(3 ^ [])))],extension(15,bind([[_5146, _5195], [f(2 ^ []), f(3 ^ [])]]))).
% 30.27/30.32 cnf('1.1.2.1.1.2.1',plain,[g(f(2 ^ [])) = g(f(3 ^ [])), -(g(f(2 ^ [])) = 3 ^ []), g(f(3 ^ [])) = 3 ^ []],extension(17,bind([[_4351, _4407, _4462], [g(f(2 ^ [])), g(f(3 ^ [])), 3 ^ []]]))).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.1',plain,[g(f(2 ^ [])) = 3 ^ [], -(2 ^ [] = 3 ^ []), 2 ^ [] = g(f(2 ^ []))],extension(17,bind([[_4462, _4351, _4407], [3 ^ [], 2 ^ [], g(f(2 ^ []))]]))).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.1.1',plain,[2 ^ [] = 3 ^ [], -(4 ^ [])],extension(7)).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.1.1.1',plain,[4 ^ []],reduction('1.1')).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.1.2',plain,[-(2 ^ [] = g(f(2 ^ []))), -(4 ^ [])],extension(9)).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.1.2.1',plain,[4 ^ []],reduction('1.1')).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.2',plain,[-(g(f(3 ^ [])) = 3 ^ []), 3 ^ [] = g(f(3 ^ []))],extension(16,bind([[_4072, _4117], [3 ^ [], g(f(3 ^ []))]]))).
% 30.27/30.32 cnf('1.1.2.1.1.2.1.2.1',plain,[-(3 ^ [] = g(f(3 ^ [])))],lemmata('1.1')).
% 30.27/30.32 cnf('1.1.2.1.1.3',plain,[-(f(2 ^ []) = f(g(f(2 ^ [])))), 2 ^ [] = g(f(2 ^ []))],extension(14,bind([[_4827, _4876], [2 ^ [], g(f(2 ^ []))]]))).
% 30.27/30.32 cnf('1.1.2.1.1.3.1',plain,[-(2 ^ [] = g(f(2 ^ []))), -(4 ^ [])],extension(9)).
% 30.27/30.32 cnf('1.1.2.1.1.3.1.1',plain,[4 ^ []],reduction('1.1')).
% 30.27/30.32 cnf('1.2',plain,[-(10 ^ []), 8 ^ [] = f(g(8 ^ [])), 9 ^ []],extension(6,bind([[_5537], [8 ^ []]]))).
% 30.27/30.32 cnf('1.2.1',plain,[-(8 ^ [] = f(g(8 ^ []))), -(9 ^ [])],extension(2)).
% 30.27/30.32 cnf('1.2.1.1',plain,[9 ^ [], -(10 ^ []), f(6 ^ []) = f(g(f(6 ^ [])))],extension(6,bind([[_5537], [f(6 ^ [])]]))).
% 30.27/30.32 cnf('1.2.1.1.1',plain,[10 ^ []],reduction('1')).
% 30.27/30.32 cnf('1.2.1.1.2',plain,[-(f(6 ^ []) = f(g(f(6 ^ [])))), 6 ^ [] = g(f(6 ^ []))],extension(14,bind([[_4827, _4876], [6 ^ [], g(f(6 ^ []))]]))).
% 30.27/30.32 cnf('1.2.1.1.2.1',plain,[-(6 ^ [] = g(f(6 ^ []))), -(10 ^ [])],extension(5)).
% 30.27/30.32 cnf('1.2.1.1.2.1.1',plain,[10 ^ []],lemmata('1.2.1.1')).
% 30.27/30.32 cnf('1.2.2',plain,[-(9 ^ []), -(8 ^ [] = f(g(8 ^ [])))],extension(2)).
% 30.27/30.32 cnf('1.2.2.1',plain,[8 ^ [] = f(g(8 ^ [])), -(g(8 ^ []) = g(f(g(8 ^ []))))],extension(15,bind([[_5146, _5195], [8 ^ [], f(g(8 ^ []))]]))).
% 30.27/30.32 cnf('1.2.2.1.1',plain,[g(8 ^ []) = g(f(g(8 ^ []))), -(10 ^ []), -(g(7 ^ []) = g(8 ^ [])), g(7 ^ []) = g(f(g(7 ^ [])))],extension(4,bind([[_6266, _6207], [g(8 ^ []), g(7 ^ [])]]))).
% 30.27/30.32 cnf('1.2.2.1.1.1',plain,[10 ^ []],reduction('1')).
% 30.27/30.32 cnf('1.2.2.1.1.2',plain,[g(7 ^ []) = g(8 ^ []), -(f(g(7 ^ [])) = f(g(8 ^ [])))],extension(14,bind([[_4827, _4876], [g(7 ^ []), g(8 ^ [])]]))).
% 30.27/30.32 cnf('1.2.2.1.1.2.1',plain,[f(g(7 ^ [])) = f(g(8 ^ [])), -(f(g(7 ^ [])) = 8 ^ []), f(g(8 ^ [])) = 8 ^ []],extension(17,bind([[_4351, _4407, _4462], [f(g(7 ^ [])), f(g(8 ^ [])), 8 ^ []]]))).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.1',plain,[f(g(7 ^ [])) = 8 ^ [], -(7 ^ [] = 8 ^ []), 7 ^ [] = f(g(7 ^ []))],extension(17,bind([[_4462, _4351, _4407], [8 ^ [], 7 ^ [], f(g(7 ^ []))]]))).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.1.1',plain,[7 ^ [] = 8 ^ [], -(9 ^ [])],extension(1)).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.1.1.1',plain,[9 ^ []],reduction('1.2')).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.1.2',plain,[-(7 ^ [] = f(g(7 ^ []))), -(9 ^ [])],extension(3)).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.1.2.1',plain,[9 ^ []],reduction('1.2')).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.2',plain,[-(f(g(8 ^ [])) = 8 ^ []), 8 ^ [] = f(g(8 ^ []))],extension(16,bind([[_4072, _4117], [8 ^ [], f(g(8 ^ []))]]))).
% 30.27/30.32 cnf('1.2.2.1.1.2.1.2.1',plain,[-(8 ^ [] = f(g(8 ^ [])))],lemmata('1.2')).
% 30.27/30.32 cnf('1.2.2.1.1.3',plain,[-(g(7 ^ []) = g(f(g(7 ^ [])))), 7 ^ [] = f(g(7 ^ []))],extension(15,bind([[_5146, _5195], [7 ^ [], f(g(7 ^ []))]]))).
% 30.27/30.32 cnf('1.2.2.1.1.3.1',plain,[-(7 ^ [] = f(g(7 ^ []))), -(9 ^ [])],extension(3)).
% 30.27/30.32 cnf('1.2.2.1.1.3.1.1',plain,[9 ^ []],reduction('1.2')).
% 30.27/30.32 %-----------------------------------------------------
% 30.27/30.32
% 30.27/30.33 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------