%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 : 300s
% DateTime : Tue May 5 07:03:33 PM UTC 2026
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 11:15:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(goal_016, conjecture, ? [_23684, _23687] : ~ (ord(_23684) => ~ ord(_23687) => ord(merge(_23684, _23687))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_016)).
% 0.38/1.41 fof(axiom_007, axiom, ! [_23873] : ~ leqNat(s(_23873), z), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_007)).
% 0.38/1.41 fof(axiom_009, axiom, ! [_23998] : merge(nil, _23998) = _23998, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_009)).
% 0.38/1.41 fof(axiom_013, axiom, ord(nil), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_013)).
% 0.38/1.41 fof(axiom_015, axiom, ! [_24168, _24171, _24174] : (ord(cons(_24168, cons(_24171, _24174))) <=> leqNat(_24168, _24171) & ord(cons(_24171, _24174))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_015)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [ord(_17512), -(ord(_17568)), -(ord(merge(_17512, _17568)))], clausify(goal_016)).
% 0.38/1.41 cnf(2, plain, [leqNat(s(_13808), z)], clausify(axiom_007)).
% 0.38/1.41 cnf(3, plain, [-(merge(nil, _14368) = _14368)], clausify(axiom_009)).
% 0.38/1.41 cnf(4, plain, [-(ord(nil))], clausify(axiom_013)).
% 0.38/1.41 cnf(5, plain, [ord(cons(_16739, cons(_16802, _16864))), -(leqNat(_16739, _16802))], clausify(axiom_015)).
% 0.38/1.41 cnf(6, plain, [-(ord(_9378)), _9329 = _9378, ord(_9329)], theory(equality)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[leqNat(s(_21864), z)],start(2,bind([[_13808], [_21864]]))).
% 0.38/1.41 cnf('1.1',plain,[-(leqNat(s(_21864), z)), ord(cons(s(_21864), cons(z, _21886)))],extension(5,bind([[_16739, _16802, _16864], [s(_21864), z, _21886]]))).
% 0.38/1.41 cnf('1.1.1',plain,[-(ord(cons(s(_21864), cons(z, _21886)))), ord(nil), -(ord(merge(nil, cons(s(_21864), cons(z, _21886)))))],extension(1,bind([[_17512, _17568], [nil, cons(s(_21864), cons(z, _21886))]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[-(ord(nil))],extension(4)).
% 0.38/1.41 cnf('1.1.1.2',plain,[ord(merge(nil, cons(s(_21864), cons(z, _21886)))), -(ord(cons(s(_21864), cons(z, _21886)))), merge(nil, cons(s(_21864), cons(z, _21886))) = cons(s(_21864), cons(z, _21886))],extension(6,bind([[_9329, _9378], [merge(nil, cons(s(_21864), cons(z, _21886))), cons(s(_21864), cons(z, _21886))]]))).
% 0.38/1.41 cnf('1.1.1.2.1',plain,[ord(cons(s(_21864), cons(z, _21886)))],reduction('1.1')).
% 0.38/1.41 cnf('1.1.1.2.2',plain,[-(merge(nil, cons(s(_21864), cons(z, _21886))) = cons(s(_21864), cons(z, _21886)))],extension(3,bind([[_14368], [cons(s(_21864), cons(z, _21886))]]))).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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