TSTP Solution File: SYN621-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 : Thu Jul 21 09:04:23 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 6 unt; 6 nHn; 12 RR)
% Number of literals : 32 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 21 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p2_7,negated_conjecture,
~ p2(c23,f3(c24)) ).
cnf(p21_18,negated_conjecture,
( p21(X30,X31)
| ~ p21(X30,X32)
| ~ p21(X32,X31) ) ).
cnf(p2_28,negated_conjecture,
( p2(X15,f3(c24))
| p22(f20(X17,X15,X18,X16),f14(f11(X17,f12(X15,X18)))) ) ).
cnf(p21_31,negated_conjecture,
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X33)))
| ~ p22(X33,f14(f11(c25,f12(c23,c26)))) ) ).
cnf(not_p21_32,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ).
cnf(p2_34,negated_conjecture,
( p2(X15,f3(c24))
| p21(f5(f6(X16,f20(X17,X15,X18,X16))),f15(f19(f11(X17,f12(X15,X18)),X16),f16(f3(f17(f18(c24)))))) ) ).
cnf(refute_0_0,plain,
( ~ p21(f5(f6(c27,f20(c25,c23,c26,X_64))),X31)
| ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X_64))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),X31) ),
inference(subst,[],[p21_18:[bind(X30,$fot(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))))),bind(X32,$fot(f5(f6(c27,f20(c25,c23,c26,X_64)))))]]) ).
cnf(refute_0_1,plain,
( ~ p22(f20(c25,c23,c26,X_61),f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X_61)))) ),
inference(subst,[],[p21_31:[bind(X33,$fot(f20(c25,c23,c26,X_61)))]]) ).
cnf(refute_0_2,plain,
( p2(c23,f3(c24))
| p22(f20(c25,c23,c26,X_61),f14(f11(c25,f12(c23,c26)))) ),
inference(subst,[],[p2_28:[bind(X15,$fot(c23)),bind(X16,$fot(X_61)),bind(X17,$fot(c25)),bind(X18,$fot(c26))]]) ).
cnf(refute_0_3,plain,
( p2(c23,f3(c24))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X_61)))) ),
inference(resolve,[$cnf( p22(f20(c25,c23,c26,X_61),f14(f11(c25,f12(c23,c26)))) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X_61)))),
inference(resolve,[$cnf( p2(c23,f3(c24)) )],[refute_0_3,not_p2_7]) ).
cnf(refute_0_5,plain,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X_64)))),
inference(subst,[],[refute_0_4:[bind(X_61,$fot(X_64))]]) ).
cnf(refute_0_6,plain,
( ~ p21(f5(f6(c27,f20(c25,c23,c26,X_64))),X31)
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),X31) ),
inference(resolve,[$cnf( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X_64)))) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
( ~ p21(f5(f6(c27,f20(c25,c23,c26,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24))))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(subst,[],[refute_0_6:[bind(X31,$fot(f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24))))))),bind(X_64,$fot(c27))]]) ).
cnf(refute_0_8,plain,
( p2(c23,f3(c24))
| p21(f5(f6(c27,f20(c25,c23,c26,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(subst,[],[p2_34:[bind(X15,$fot(c23)),bind(X16,$fot(c27)),bind(X17,$fot(c25)),bind(X18,$fot(c26))]]) ).
cnf(refute_0_9,plain,
( p2(c23,f3(c24))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(resolve,[$cnf( p21(f5(f6(c27,f20(c25,c23,c26,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(resolve,[$cnf( p2(c23,f3(c24)) )],[refute_0_9,not_p2_7]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) )],[refute_0_10,not_p21_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 03:04:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37
%------------------------------------------------------------------------------