TSTP Solution File: SYN195-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN195-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 09:00:21 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 50 ( 24 unt; 0 nHn; 37 RR)
% Number of literals : 83 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_072,axiom,
( p1(F,F,F)
| ~ s0(G)
| ~ s0(F) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_174,axiom,
( p2(H,H,H)
| ~ n2(H)
| ~ k1(e) ) ).
cnf(rule_240,axiom,
( n3(D)
| ~ p2(E,F,D) ) ).
cnf(rule_244,axiom,
( p3(H,H,H)
| ~ n2(H) ) ).
cnf(rule_299,axiom,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ) ).
cnf(rule_327,axiom,
( r5(C,D)
| ~ s4(C)
| ~ k0(b)
| ~ n3(D) ) ).
cnf(prove_this,negated_conjecture,
~ r5(d,d) ).
cnf(refute_0_0,plain,
( ~ n3(D)
| ~ s4(C)
| r5(C,D) ),
inference(resolve,[$cnf( k0(b) )],[axiom_32,rule_327]) ).
cnf(refute_0_1,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_2,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ n2(H)
| p2(H,H,H) ),
inference(resolve,[$cnf( k1(e) )],[refute_0_2,rule_174]) ).
cnf(refute_0_4,plain,
( ~ n2(X_108)
| p2(X_108,X_108,X_108) ),
inference(subst,[],[refute_0_3:[bind(H,$fot(X_108))]]) ).
cnf(refute_0_5,plain,
p0(b,X_65),
inference(subst,[],[axiom_14:[bind(X,$fot(X_65))]]) ).
cnf(refute_0_6,plain,
( ~ p0(b,X_65)
| p1(X_65,X_65,X_65) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_65)),bind(C,$fot(b))]]) ).
cnf(refute_0_7,plain,
p1(X_65,X_65,X_65),
inference(resolve,[$cnf( p0(b,X_65) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
p1(X_105,X_105,X_105),
inference(subst,[],[refute_0_7:[bind(X_65,$fot(X_105))]]) ).
cnf(refute_0_9,plain,
( ~ p1(X_105,X_105,X_105)
| n2(X_105) ),
inference(subst,[],[rule_137:[bind(A,$fot(X_105)),bind(B,$fot(X_105)),bind(C,$fot(X_105))]]) ).
cnf(refute_0_10,plain,
n2(X_105),
inference(resolve,[$cnf( p1(X_105,X_105,X_105) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
n2(X_108),
inference(subst,[],[refute_0_10:[bind(X_105,$fot(X_108))]]) ).
cnf(refute_0_12,plain,
p2(X_108,X_108,X_108),
inference(resolve,[$cnf( n2(X_108) )],[refute_0_11,refute_0_4]) ).
cnf(refute_0_13,plain,
p2(X_121,X_121,X_121),
inference(subst,[],[refute_0_12:[bind(X_108,$fot(X_121))]]) ).
cnf(refute_0_14,plain,
( ~ p2(X_121,X_121,X_121)
| n3(X_121) ),
inference(subst,[],[rule_240:[bind(D,$fot(X_121)),bind(E,$fot(X_121)),bind(F,$fot(X_121))]]) ).
cnf(refute_0_15,plain,
n3(X_121),
inference(resolve,[$cnf( p2(X_121,X_121,X_121) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
n3(D),
inference(subst,[],[refute_0_15:[bind(X_121,$fot(D))]]) ).
cnf(refute_0_17,plain,
( ~ s4(C)
| r5(C,D) ),
inference(resolve,[$cnf( n3(D) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
( ~ s4(d)
| r5(d,D) ),
inference(subst,[],[refute_0_17:[bind(C,$fot(d))]]) ).
cnf(refute_0_19,plain,
( ~ n0(c,d)
| l1(d,d) ),
inference(subst,[],[rule_002:[bind(G,$fot(d)),bind(H,$fot(c))]]) ).
cnf(refute_0_20,plain,
l1(d,d),
inference(resolve,[$cnf( n0(c,d) )],[axiom_34,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ n2(d)
| p3(d,d,d) ),
inference(subst,[],[rule_244:[bind(H,$fot(d))]]) ).
cnf(refute_0_22,plain,
( ~ s0(d)
| p1(d,d,d) ),
inference(subst,[],[rule_072:[bind(F,$fot(d)),bind(G,$fot(d))]]) ).
cnf(refute_0_23,plain,
p1(d,d,d),
inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ p1(d,d,d)
| n2(d) ),
inference(subst,[],[rule_137:[bind(A,$fot(d)),bind(B,$fot(d)),bind(C,$fot(d))]]) ).
cnf(refute_0_25,plain,
n2(d),
inference(resolve,[$cnf( p1(d,d,d) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
p3(d,d,d),
inference(resolve,[$cnf( n2(d) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
( ~ l1(X_343,d)
| ~ p3(d,d,d)
| s4(X_343) ),
inference(subst,[],[rule_299:[bind(A,$fot(X_343)),bind(B,$fot(d)),bind(C,$fot(d)),bind(D,$fot(d))]]) ).
cnf(refute_0_28,plain,
( ~ l1(X_343,d)
| s4(X_343) ),
inference(resolve,[$cnf( p3(d,d,d) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ l1(d,d)
| s4(d) ),
inference(subst,[],[refute_0_28:[bind(X_343,$fot(d))]]) ).
cnf(refute_0_30,plain,
s4(d),
inference(resolve,[$cnf( l1(d,d) )],[refute_0_20,refute_0_29]) ).
cnf(refute_0_31,plain,
r5(d,D),
inference(resolve,[$cnf( s4(d) )],[refute_0_30,refute_0_18]) ).
cnf(refute_0_32,plain,
r5(d,d),
inference(subst,[],[refute_0_31:[bind(D,$fot(d))]]) ).
cnf(refute_0_33,plain,
$false,
inference(resolve,[$cnf( r5(d,d) )],[refute_0_32,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN195-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.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 : Mon Jul 11 22:27:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49
% 0.18/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.49
%------------------------------------------------------------------------------