%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 09:04:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 38 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X28,X28) ).
cnf(p10_15,negated_conjecture,
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ) ).
cnf(p18_20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) ).
cnf(not_p18_21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ).
cnf(p18_23,negated_conjecture,
( p18(X24,X25)
| ~ p18(X27,X26)
| ~ p2(X27,X24)
| ~ p10(X26,X25) ) ).
cnf(p10_28,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) ).
cnf(refute_0_0,plain,
p10(X_25,X_25),
inference(subst,[],[p10_1:[bind(X0,$fot(X_25))]]) ).
cnf(refute_0_1,plain,
( ~ p10(X_25,X_24)
| ~ p10(X_25,X_25)
| p10(X_24,X_25) ),
inference(subst,[],[p10_15:[bind(X0,$fot(X_25)),bind(X1,$fot(X_24)),bind(X2,$fot(X_25))]]) ).
cnf(refute_0_2,plain,
( ~ p10(X_25,X_24)
| p10(X_24,X_25) ),
inference(resolve,[$cnf( p10(X_25,X_25) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(subst,[],[refute_0_2:[bind(X_24,$fot(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))),bind(X_25,$fot(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)))]]) ).
cnf(refute_0_4,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolve,[$cnf( p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) )],[p10_28,refute_0_3]) ).
cnf(refute_0_5,plain,
p2(X_86,X_86),
inference(subst,[],[p2_4:[bind(X28,$fot(X_86))]]) ).
cnf(refute_0_6,plain,
( ~ p10(X_88,X_87)
| ~ p18(X_86,X_88)
| ~ p2(X_86,X_86)
| p18(X_86,X_87) ),
inference(subst,[],[p18_23:[bind(X24,$fot(X_86)),bind(X25,$fot(X_87)),bind(X26,$fot(X_88)),bind(X27,$fot(X_86))]]) ).
cnf(refute_0_7,plain,
( ~ p10(X_88,X_87)
| ~ p18(X_86,X_88)
| p18(X_86,X_87) ),
inference(resolve,[$cnf( p2(X_86,X_86) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X_95)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| p18(c20,X_95) ),
inference(subst,[],[refute_0_7:[bind(X_86,$fot(c20)),bind(X_87,$fot(X_95)),bind(X_88,$fot(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)))]]) ).
cnf(refute_0_9,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X_95)
| p18(c20,X_95) ),
inference(resolve,[$cnf( p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) )],[p18_20,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(subst,[],[refute_0_9:[bind(X_95,$fot(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)))]]) ).
cnf(refute_0_11,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolve,[$cnf( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) )],[refute_0_4,refute_0_10]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) )],[refute_0_11,not_p18_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jul 11 17:21:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36
% 0.19/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36
%------------------------------------------------------------------------------