TSTP Solution File: SWC412+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 21:10:51 EDT 2022
% Result : Theorem 168.76s 163.22s
% Output : Proof 168.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 11 23:16:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 168.76/163.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.76/163.23 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.76/163.23
% 168.76/163.23 %-----------------------------------------------------
% 168.76/163.23 fof(co1, conjecture, ! [_178449] : (ssList(_178449) => ! [_178464] : (ssList(_178464) => ! [_178479] : (ssList(_178479) => ! [_178494] : (~ ssList(_178494) | (! _178464) = _178494 | (! _178449) = _178479 | (? [_178527] : (ssItem(_178527) & ? [_178542] : (ssItem(_178542) & ? [_178557] : (ssList(_178557) & app(app(cons(_178527, nil), cons(_178542, nil)), _178557) = _178494))) | ! [_178606] : (ssItem(_178606) => ! [_178621] : (ssItem(_178621) => ! [_178636] : (ssList(_178636) => (! app(app(cons(_178606, nil), cons(_178621, nil)), _178636)) = _178464)))) & (? [_178687] : (ssItem(_178687) & ? [_178702] : (ssItem(_178702) & ? [_178717] : (ssList(_178717) & (! app(app(cons(_178702, nil), _178717), cons(_178687, nil))) = _178479 & app(app(cons(_178687, nil), _178717), cons(_178702, nil)) = _178494))) | ! [_178802] : (ssItem(_178802) => ! [_178817] : (ssItem(_178817) => ! [_178832] : (ssList(_178832) => (! app(app(cons(_178802, nil), cons(_178817, nil)), _178832)) = _178464))) | ! [_178883] : (ssItem(_178883) => ! [_178898] : (ssItem(_178898) => ! [_178913] : (~ ssList(_178913) | (! app(app(cons(_178883, nil), _178913), cons(_178898, nil))) = _178464 | app(app(cons(_178898, nil), _178913), cons(_178883, nil)) = _178449)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 168.76/163.23
% 168.76/163.23 cnf(1, plain, [-(113 ^ []), ssItem(_143509), ssItem(_143519), ssList(_143529), -(app(app(cons(_143519, nil), _143529), cons(_143509, nil)) = 101 ^ []), app(app(cons(_143509, nil), _143529), cons(_143519, nil)) = 102 ^ []], clausify(co1)).
% 168.76/163.23 cnf(2, plain, [-(113 ^ []), app(app(cons(111 ^ [], nil), 112 ^ []), cons(110 ^ [], nil)) = 99 ^ []], clausify(co1)).
% 168.76/163.23 cnf(3, plain, [-(113 ^ []), -(app(app(cons(110 ^ [], nil), 112 ^ []), cons(111 ^ [], nil)) = 100 ^ [])], clausify(co1)).
% 168.76/163.23 cnf(4, plain, [-(113 ^ []), -(ssList(112 ^ []))], clausify(co1)).
% 168.76/163.23 cnf(5, plain, [-(113 ^ []), -(ssItem(111 ^ []))], clausify(co1)).
% 168.76/163.23 cnf(6, plain, [-(113 ^ []), -(ssItem(110 ^ []))], clausify(co1)).
% 168.76/163.23 cnf(7, plain, [-(106 ^ []), ssItem(_143414), ssItem(_143424), ssList(_143434), app(app(cons(_143414, nil), cons(_143424, nil)), _143434) = 102 ^ []], clausify(co1)).
% 168.76/163.23 cnf(8, plain, [-(106 ^ []), -(app(app(cons(103 ^ [], nil), cons(104 ^ [], nil)), 105 ^ []) = 100 ^ [])], clausify(co1)).
% 168.76/163.23 cnf(9, plain, [-(106 ^ []), -(ssList(105 ^ []))], clausify(co1)).
% 168.76/163.23 cnf(10, plain, [-(106 ^ []), -(ssItem(104 ^ []))], clausify(co1)).
% 168.76/163.23 cnf(11, plain, [-(106 ^ []), -(ssItem(103 ^ []))], clausify(co1)).
% 168.76/163.23 cnf(12, plain, [-(100 ^ [] = 102 ^ [])], clausify(co1)).
% 168.76/163.23 cnf(13, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 168.76/163.23 cnf(14, plain, [106 ^ [], 113 ^ []], clausify(co1)).
% 168.76/163.23 cnf(15, plain, [_58532 = _58577, -(_58577 = _58532)], theory(equality)).
% 168.76/163.23 cnf(16, plain, [-(_58811 = _58922), _58811 = _58867, _58867 = _58922], theory(equality)).
% 168.76/163.23
% 168.76/163.23 cnf('1',plain,[106 ^ [], 113 ^ []],start(14)).
% 168.76/163.23 cnf('1.1',plain,[-(106 ^ []), -(app(app(cons(103 ^ [], nil), cons(104 ^ [], nil)), 105 ^ []) = 100 ^ [])],extension(8)).
% 168.76/163.23 cnf('1.1.1',plain,[app(app(cons(103 ^ [], nil), cons(104 ^ [], nil)), 105 ^ []) = 100 ^ [], -(app(app(cons(103 ^ [], nil), cons(104 ^ [], nil)), 105 ^ []) = 102 ^ []), 100 ^ [] = 102 ^ []],extension(16,bind([[_58811, _58867, _58922], [app(app(cons(103 ^ [], nil), cons(104 ^ [], nil)), 105 ^ []), 100 ^ [], 102 ^ []]]))).
% 168.76/163.23 cnf('1.1.1.1',plain,[app(app(cons(103 ^ [], nil), cons(104 ^ [], nil)), 105 ^ []) = 102 ^ [], -(106 ^ []), ssItem(103 ^ []), ssItem(104 ^ []), ssList(105 ^ [])],extension(7,bind([[_143414, _143424, _143434], [103 ^ [], 104 ^ [], 105 ^ []]]))).
% 168.76/163.23 cnf('1.1.1.1.1',plain,[106 ^ []],reduction('1')).
% 168.76/163.23 cnf('1.1.1.1.2',plain,[-(ssItem(103 ^ [])), -(106 ^ [])],extension(11)).
% 168.76/163.23 cnf('1.1.1.1.2.1',plain,[106 ^ []],lemmata('1.1.1.1')).
% 168.76/163.23 cnf('1.1.1.1.3',plain,[-(ssItem(104 ^ [])), -(106 ^ [])],extension(10)).
% 168.76/163.23 cnf('1.1.1.1.3.1',plain,[106 ^ []],lemmata('1.1.1.1')).
% 168.76/163.23 cnf('1.1.1.1.4',plain,[-(ssList(105 ^ [])), -(106 ^ [])],extension(9)).
% 168.76/163.23 cnf('1.1.1.1.4.1',plain,[106 ^ []],lemmata('1.1.1.1')).
% 168.76/163.23 cnf('1.1.1.2',plain,[-(100 ^ [] = 102 ^ [])],extension(12)).
% 168.76/163.23 cnf('1.2',plain,[-(113 ^ []), app(app(cons(111 ^ [], nil), 112 ^ []), cons(110 ^ [], nil)) = 99 ^ []],extension(2)).
% 168.76/163.23 cnf('1.2.1',plain,[-(app(app(cons(111 ^ [], nil), 112 ^ []), cons(110 ^ [], nil)) = 99 ^ []), app(app(cons(111 ^ [], nil), 112 ^ []), cons(110 ^ [], nil)) = 101 ^ [], 101 ^ [] = 99 ^ []],extension(16,bind([[_58811, _58867, _58922], [app(app(cons(111 ^ [], nil), 112 ^ []), cons(110 ^ [], nil)), 101 ^ [], 99 ^ []]]))).
% 168.76/163.23 cnf('1.2.1.1',plain,[-(app(app(cons(111 ^ [], nil), 112 ^ []), cons(110 ^ [], nil)) = 101 ^ []), -(113 ^ []), ssItem(110 ^ []), ssItem(111 ^ []), ssList(112 ^ []), app(app(cons(110 ^ [], nil), 112 ^ []), cons(111 ^ [], nil)) = 102 ^ []],extension(1,bind([[_143509, _143529, _143519], [110 ^ [], 112 ^ [], 111 ^ []]]))).
% 168.76/163.23 cnf('1.2.1.1.1',plain,[113 ^ []],reduction('1')).
% 168.76/163.23 cnf('1.2.1.1.2',plain,[-(ssItem(110 ^ [])), -(113 ^ [])],extension(6)).
% 168.76/163.23 cnf('1.2.1.1.2.1',plain,[113 ^ []],lemmata('1.2.1.1')).
% 168.76/163.23 cnf('1.2.1.1.3',plain,[-(ssItem(111 ^ [])), -(113 ^ [])],extension(5)).
% 168.76/163.23 cnf('1.2.1.1.3.1',plain,[113 ^ []],lemmata('1.2.1.1')).
% 168.76/163.23 cnf('1.2.1.1.4',plain,[-(ssList(112 ^ [])), -(113 ^ [])],extension(4)).
% 168.76/163.23 cnf('1.2.1.1.4.1',plain,[113 ^ []],lemmata('1.2.1.1')).
% 168.76/163.23 cnf('1.2.1.1.5',plain,[-(app(app(cons(110 ^ [], nil), 112 ^ []), cons(111 ^ [], nil)) = 102 ^ []), app(app(cons(110 ^ [], nil), 112 ^ []), cons(111 ^ [], nil)) = 100 ^ [], 100 ^ [] = 102 ^ []],extension(16,bind([[_58811, _58867, _58922], [app(app(cons(110 ^ [], nil), 112 ^ []), cons(111 ^ [], nil)), 100 ^ [], 102 ^ []]]))).
% 168.76/163.23 cnf('1.2.1.1.5.1',plain,[-(app(app(cons(110 ^ [], nil), 112 ^ []), cons(111 ^ [], nil)) = 100 ^ []), -(113 ^ [])],extension(3)).
% 168.76/163.23 cnf('1.2.1.1.5.1.1',plain,[113 ^ []],lemmata('1.2.1.1')).
% 168.76/163.23 cnf('1.2.1.1.5.2',plain,[-(100 ^ [] = 102 ^ [])],extension(12)).
% 168.76/163.23 cnf('1.2.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(15,bind([[_58532, _58577], [99 ^ [], 101 ^ []]]))).
% 168.76/163.23 cnf('1.2.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(13)).
% 168.76/163.23 %-----------------------------------------------------
% 168.76/163.24
% 168.76/163.24 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------