TSTP Solution File: SYN551+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 5.99s 6.58s
% Output : Proof 6.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n005.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 : Tue Jul 12 07:25:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 5.99/6.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.99/6.59 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.99/6.59
% 5.99/6.59 %-----------------------------------------------------
% 5.99/6.59 fof(prove_this_cute_thing, conjecture, ? [_15591] : (_15591 = f(g(_15591)) & ! [_15613] : (_15613 = f(g(_15613)) => _15613 = _15591)) <=> ? [_15591] : (_15591 = g(f(_15591)) & ! [_15613] : (_15613 = g(f(_15613)) => _15613 = _15591)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this_cute_thing)).
% 5.99/6.59
% 5.99/6.59 cnf(1, plain, [-(7 ^ [_5211]), 6 ^ [_5211] = _5211], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(2, plain, [-(7 ^ [_5211]), -(6 ^ [_5211] = f(g(6 ^ [_5211])))], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(3, plain, [-(8 ^ []), _5211 = f(g(_5211)), 7 ^ [_5211]], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(4, plain, [-(8 ^ []), _6672 = g(f(_6672)), -(_6672 = 5 ^ [])], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(5, plain, [-(8 ^ []), -(5 ^ [] = g(f(5 ^ [])))], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(6, plain, [-(3 ^ [_5594]), 2 ^ [_5594] = _5594], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(7, plain, [-(3 ^ [_5594]), -(2 ^ [_5594] = g(f(2 ^ [_5594])))], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(8, plain, [-(4 ^ []), _5594 = g(f(_5594)), 3 ^ [_5594]], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(9, plain, [-(4 ^ []), _6482 = f(g(_6482)), -(_6482 = 1 ^ [])], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(10, plain, [-(4 ^ []), -(1 ^ [] = f(g(1 ^ [])))], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(11, plain, [4 ^ [], 8 ^ []], clausify(prove_this_cute_thing)).
% 5.99/6.59 cnf(12, plain, [_4511 = _4560, -(f(_4511) = f(_4560))], theory(equality)).
% 5.99/6.59 cnf(13, plain, [_4830 = _4879, -(g(_4830) = g(_4879))], theory(equality)).
% 5.99/6.59 cnf(14, plain, [-(_4035 = _4146), _4035 = _4091, _4091 = _4146], theory(equality)).
% 5.99/6.59
% 5.99/6.59 cnf('1',plain,[4 ^ [], 8 ^ []],start(11)).
% 5.99/6.59 cnf('1.1',plain,[-(4 ^ []), g(1 ^ []) = g(f(g(1 ^ []))), 3 ^ [g(1 ^ [])]],extension(8,bind([[_5594], [g(1 ^ [])]]))).
% 5.99/6.59 cnf('1.1.1',plain,[-(g(1 ^ []) = g(f(g(1 ^ [])))), 1 ^ [] = f(g(1 ^ []))],extension(13,bind([[_4830, _4879], [1 ^ [], f(g(1 ^ []))]]))).
% 5.99/6.59 cnf('1.1.1.1',plain,[-(1 ^ [] = f(g(1 ^ []))), -(4 ^ [])],extension(10)).
% 5.99/6.59 cnf('1.1.1.1.1',plain,[4 ^ []],reduction('1')).
% 5.99/6.59 cnf('1.1.2',plain,[-(3 ^ [g(1 ^ [])]), 2 ^ [g(1 ^ [])] = g(1 ^ [])],extension(6,bind([[_5594], [g(1 ^ [])]]))).
% 5.99/6.59 cnf('1.1.2.1',plain,[-(2 ^ [g(1 ^ [])] = g(1 ^ [])), 2 ^ [g(1 ^ [])] = g(f(2 ^ [g(1 ^ [])])), g(f(2 ^ [g(1 ^ [])])) = g(1 ^ [])],extension(14,bind([[_4035, _4091, _4146], [2 ^ [g(1 ^ [])], g(f(2 ^ [g(1 ^ [])])), g(1 ^ [])]]))).
% 5.99/6.59 cnf('1.1.2.1.1',plain,[-(2 ^ [g(1 ^ [])] = g(f(2 ^ [g(1 ^ [])]))), -(3 ^ [g(1 ^ [])])],extension(7,bind([[_5594], [g(1 ^ [])]]))).
% 5.99/6.59 cnf('1.1.2.1.1.1',plain,[3 ^ [g(1 ^ [])]],reduction('1.1')).
% 5.99/6.59 cnf('1.1.2.1.2',plain,[-(g(f(2 ^ [g(1 ^ [])])) = g(1 ^ [])), f(2 ^ [g(1 ^ [])]) = 1 ^ []],extension(13,bind([[_4830, _4879], [f(2 ^ [g(1 ^ [])]), 1 ^ []]]))).
% 5.99/6.59 cnf('1.1.2.1.2.1',plain,[-(f(2 ^ [g(1 ^ [])]) = 1 ^ []), -(4 ^ []), f(2 ^ [g(1 ^ [])]) = f(g(f(2 ^ [g(1 ^ [])])))],extension(9,bind([[_6482], [f(2 ^ [g(1 ^ [])])]]))).
% 5.99/6.59 cnf('1.1.2.1.2.1.1',plain,[4 ^ []],reduction('1')).
% 5.99/6.59 cnf('1.1.2.1.2.1.2',plain,[-(f(2 ^ [g(1 ^ [])]) = f(g(f(2 ^ [g(1 ^ [])])))), 2 ^ [g(1 ^ [])] = g(f(2 ^ [g(1 ^ [])]))],extension(12,bind([[_4511, _4560], [2 ^ [g(1 ^ [])], g(f(2 ^ [g(1 ^ [])]))]]))).
% 5.99/6.59 cnf('1.1.2.1.2.1.2.1',plain,[-(2 ^ [g(1 ^ [])] = g(f(2 ^ [g(1 ^ [])])))],lemmata('1.1.2.1')).
% 5.99/6.59 cnf('1.2',plain,[-(8 ^ []), f(5 ^ []) = f(g(f(5 ^ []))), 7 ^ [f(5 ^ [])]],extension(3,bind([[_5211], [f(5 ^ [])]]))).
% 5.99/6.59 cnf('1.2.1',plain,[-(f(5 ^ []) = f(g(f(5 ^ [])))), 5 ^ [] = g(f(5 ^ []))],extension(12,bind([[_4511, _4560], [5 ^ [], g(f(5 ^ []))]]))).
% 5.99/6.59 cnf('1.2.1.1',plain,[-(5 ^ [] = g(f(5 ^ []))), -(8 ^ [])],extension(5)).
% 5.99/6.59 cnf('1.2.1.1.1',plain,[8 ^ []],reduction('1')).
% 5.99/6.59 cnf('1.2.2',plain,[-(7 ^ [f(5 ^ [])]), 6 ^ [f(5 ^ [])] = f(5 ^ [])],extension(1,bind([[_5211], [f(5 ^ [])]]))).
% 5.99/6.59 cnf('1.2.2.1',plain,[-(6 ^ [f(5 ^ [])] = f(5 ^ [])), 6 ^ [f(5 ^ [])] = f(g(6 ^ [f(5 ^ [])])), f(g(6 ^ [f(5 ^ [])])) = f(5 ^ [])],extension(14,bind([[_4035, _4091, _4146], [6 ^ [f(5 ^ [])], f(g(6 ^ [f(5 ^ [])])), f(5 ^ [])]]))).
% 5.99/6.59 cnf('1.2.2.1.1',plain,[-(6 ^ [f(5 ^ [])] = f(g(6 ^ [f(5 ^ [])]))), -(7 ^ [f(5 ^ [])])],extension(2,bind([[_5211], [f(5 ^ [])]]))).
% 5.99/6.59 cnf('1.2.2.1.1.1',plain,[7 ^ [f(5 ^ [])]],reduction('1.2')).
% 5.99/6.59 cnf('1.2.2.1.2',plain,[-(f(g(6 ^ [f(5 ^ [])])) = f(5 ^ [])), g(6 ^ [f(5 ^ [])]) = 5 ^ []],extension(12,bind([[_4511, _4560], [g(6 ^ [f(5 ^ [])]), 5 ^ []]]))).
% 5.99/6.59 cnf('1.2.2.1.2.1',plain,[-(g(6 ^ [f(5 ^ [])]) = 5 ^ []), -(8 ^ []), g(6 ^ [f(5 ^ [])]) = g(f(g(6 ^ [f(5 ^ [])])))],extension(4,bind([[_6672], [g(6 ^ [f(5 ^ [])])]]))).
% 5.99/6.59 cnf('1.2.2.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 5.99/6.59 cnf('1.2.2.1.2.1.2',plain,[-(g(6 ^ [f(5 ^ [])]) = g(f(g(6 ^ [f(5 ^ [])])))), 6 ^ [f(5 ^ [])] = f(g(6 ^ [f(5 ^ [])]))],extension(13,bind([[_4830, _4879], [6 ^ [f(5 ^ [])], f(g(6 ^ [f(5 ^ [])]))]]))).
% 5.99/6.59 cnf('1.2.2.1.2.1.2.1',plain,[-(6 ^ [f(5 ^ [])] = f(g(6 ^ [f(5 ^ [])])))],lemmata('1.2.2.1')).
% 5.99/6.59 %-----------------------------------------------------
% 6.02/6.60
% 6.02/6.60 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------