%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN634-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 09:04:28 EDT 2022
% Result : Unsatisfiable 0.93s 1.13s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 7 unt; 7 nHn; 17 RR)
% Number of literals : 39 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p3_7,negated_conjecture,
~ p3(c23,f8(c24)) ).
cnf(p3_8,negated_conjecture,
p3(f4(f6(X80,f7(X81,X82))),X81) ).
cnf(p3_17,negated_conjecture,
( p3(X76,X77)
| ~ p3(X75,X76)
| ~ p3(X75,X77) ) ).
cnf(not_p10_25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ).
cnf(p21_26,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,X70)))
| ~ p22(X70,f16(f6(c25,f7(c23,c26)))) ) ).
cnf(p3_36,negated_conjecture,
( p3(f4(X12),f8(c24))
| p22(f18(X12,X13,X14),f16(X12))
| p10(f11(X12,c27,X13),f11(X12,c27,X14)) ) ).
cnf(p3_39,negated_conjecture,
( p3(f4(X12),f8(c24))
| p10(f11(X12,c27,X13),f11(X12,c27,X14))
| ~ p21(f12(f13(X13,X14)),f12(f13(X13,f18(X12,X13,X14)))) ) ).
cnf(refute_0_0,plain,
p3(f4(f6(X80,f7(X_70,X82))),X_70),
inference(subst,[],[p3_8:[bind(X81,$fot(X_70))]]) ).
cnf(refute_0_1,plain,
( ~ p3(f4(f6(X80,f7(X_70,X82))),X_70)
| ~ p3(f4(f6(X80,f7(X_70,X82))),X_71)
| p3(X_70,X_71) ),
inference(subst,[],[p3_17:[bind(X75,$fot(f4(f6(X80,f7(X_70,X82))))),bind(X76,$fot(X_70)),bind(X77,$fot(X_71))]]) ).
cnf(refute_0_2,plain,
( ~ p3(f4(f6(X80,f7(X_70,X82))),X_71)
| p3(X_70,X_71) ),
inference(resolve,[$cnf( p3(f4(f6(X80,f7(X_70,X82))),X_70) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p3(c23,f8(c24)) ),
inference(subst,[],[refute_0_2:[bind(X80,$fot(c25)),bind(X82,$fot(c26)),bind(X_70,$fot(c23)),bind(X_71,$fot(f8(c24)))]]) ).
cnf(refute_0_4,plain,
( ~ p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29)))) ),
inference(subst,[],[p21_26:[bind(X70,$fot(f18(f6(c25,f7(c23,c26)),c28,c29)))]]) ).
cnf(refute_0_5,plain,
( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(subst,[],[p3_36:[bind(X12,$fot(f6(c25,f7(c23,c26)))),bind(X13,$fot(c28)),bind(X14,$fot(c29))]]) ).
cnf(refute_0_6,plain,
( p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolve,[$cnf( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) )],[refute_0_5,not_p10_25]) ).
cnf(refute_0_7,plain,
( p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolve,[$cnf( p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) )],[refute_0_6,refute_0_4]) ).
cnf(refute_0_8,plain,
( ~ p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29))))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(subst,[],[p3_39:[bind(X12,$fot(f6(c25,f7(c23,c26)))),bind(X13,$fot(c28)),bind(X14,$fot(c29))]]) ).
cnf(refute_0_9,plain,
( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolve,[$cnf( p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(resolve,[$cnf( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) )],[refute_0_9,not_p10_25]) ).
cnf(refute_0_11,plain,
p3(c23,f8(c24)),
inference(resolve,[$cnf( p3(f4(f6(c25,f7(c23,c26))),f8(c24)) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( p3(c23,f8(c24)) )],[refute_0_11,not_p3_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN634-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 12:25:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.93/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.13
% 0.93/1.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.93/1.13
%------------------------------------------------------------------------------