TSTP Solution File: SYN273-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN273-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 09:00:53 EDT 2022
% Result : Unsatisfiable 0.40s 0.57s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 17 unt; 0 nHn; 43 RR)
% Number of literals : 82 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
cnf(rule_127,axiom,
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ) ).
cnf(rule_130,axiom,
( k2(e,e)
| ~ l1(e,e) ) ).
cnf(rule_194,axiom,
( k3(F,F,G)
| ~ k2(G,F) ) ).
cnf(rule_287,axiom,
( p4(B,C,B)
| ~ k3(B,B,C) ) ).
cnf(prove_this,negated_conjecture,
~ p4(e,c,e) ).
cnf(refute_0_0,plain,
( ~ k3(e,e,c)
| p4(e,c,e) ),
inference(subst,[],[rule_287:[bind(B,$fot(e)),bind(C,$fot(c))]]) ).
cnf(refute_0_1,plain,
( ~ k2(c,e)
| k3(e,e,c) ),
inference(subst,[],[rule_194:[bind(F,$fot(e)),bind(G,$fot(c))]]) ).
cnf(refute_0_2,plain,
( ~ n0(d,e)
| l1(e,e) ),
inference(subst,[],[rule_002:[bind(G,$fot(e)),bind(H,$fot(d))]]) ).
cnf(refute_0_3,plain,
l1(e,e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_2]) ).
cnf(refute_0_4,plain,
k2(e,e),
inference(resolve,[$cnf( l1(e,e) )],[refute_0_3,rule_130]) ).
cnf(refute_0_5,plain,
( ~ k0(X_166)
| ~ l0(a)
| m1(a,X_166,a) ),
inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_166))]]) ).
cnf(refute_0_6,plain,
( ~ k0(X_166)
| m1(a,X_166,a) ),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ k0(e)
| m1(a,e,a) ),
inference(subst,[],[refute_0_6:[bind(X_166,$fot(e))]]) ).
cnf(refute_0_8,plain,
m1(a,e,a),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ k1(X_725)
| ~ k2(X_725,e)
| ~ m1(a,e,a)
| k2(a,e) ),
inference(subst,[],[rule_127:[bind(C,$fot(a)),bind(D,$fot(e)),bind(E,$fot(a)),bind(F,$fot(X_725))]]) ).
cnf(refute_0_10,plain,
( ~ k1(X_725)
| ~ k2(X_725,e)
| k2(a,e) ),
inference(resolve,[$cnf( m1(a,e,a) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ k1(e)
| ~ k2(e,e)
| k2(a,e) ),
inference(subst,[],[refute_0_10:[bind(X_725,$fot(e))]]) ).
cnf(refute_0_12,plain,
( ~ k1(e)
| k2(a,e) ),
inference(resolve,[$cnf( k2(e,e) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_14,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_13]) ).
cnf(refute_0_15,plain,
k2(a,e),
inference(resolve,[$cnf( k1(e) )],[refute_0_14,refute_0_12]) ).
cnf(refute_0_16,plain,
( ~ k0(X_166)
| ~ l0(c)
| m1(c,X_166,c) ),
inference(subst,[],[rule_021:[bind(I,$fot(c)),bind(J,$fot(X_166))]]) ).
cnf(refute_0_17,plain,
( ~ k0(X_166)
| m1(c,X_166,c) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ k0(e)
| m1(c,e,c) ),
inference(subst,[],[refute_0_17:[bind(X_166,$fot(e))]]) ).
cnf(refute_0_19,plain,
m1(c,e,c),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ k1(X_725)
| ~ k2(X_725,e)
| ~ m1(c,e,c)
| k2(c,e) ),
inference(subst,[],[rule_127:[bind(C,$fot(c)),bind(D,$fot(e)),bind(E,$fot(c)),bind(F,$fot(X_725))]]) ).
cnf(refute_0_21,plain,
( ~ k1(X_725)
| ~ k2(X_725,e)
| k2(c,e) ),
inference(resolve,[$cnf( m1(c,e,c) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ k1(a)
| ~ k2(a,e)
| k2(c,e) ),
inference(subst,[],[refute_0_21:[bind(X_725,$fot(a))]]) ).
cnf(refute_0_23,plain,
( ~ k1(a)
| k2(c,e) ),
inference(resolve,[$cnf( k2(a,e) )],[refute_0_15,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_25,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_24]) ).
cnf(refute_0_26,plain,
k2(c,e),
inference(resolve,[$cnf( k1(a) )],[refute_0_25,refute_0_23]) ).
cnf(refute_0_27,plain,
k3(e,e,c),
inference(resolve,[$cnf( k2(c,e) )],[refute_0_26,refute_0_1]) ).
cnf(refute_0_28,plain,
p4(e,c,e),
inference(resolve,[$cnf( k3(e,e,c) )],[refute_0_27,refute_0_0]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( p4(e,c,e) )],[refute_0_28,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN273-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 18:26:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.57
% 0.40/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.40/0.58
%------------------------------------------------------------------------------