TSTP Solution File: SYN270-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN270-1 : TPTP v8.1.0. Released v1.1.0.
% 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 09:00:52 EDT 2022
% Result : Unsatisfiable 0.40s 0.54s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of clauses : 62 ( 25 unt; 0 nHn; 54 RR)
% Number of literals : 120 ( 0 equ; 59 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_18,axiom,
p0(c,b) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_035,axiom,
( m1(I,J,I)
| ~ r0(I)
| ~ l0(J) ) ).
cnf(rule_095,axiom,
( q1(F,G,G)
| ~ p0(G,F) ) ).
cnf(rule_110,axiom,
( q1(B,B,B)
| ~ m0(C,D,B) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
cnf(rule_127,axiom,
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ) ).
cnf(rule_129,axiom,
( k2(J,J)
| ~ q1(A,J,J) ) ).
cnf(rule_159,axiom,
( p2(A,A,A)
| ~ k1(A) ) ).
cnf(rule_188,axiom,
( r2(G)
| ~ r1(G)
| ~ l0(G) ) ).
cnf(rule_267,axiom,
( r3(B,C,B)
| ~ p2(B,D,C) ) ).
cnf(rule_272,axiom,
( r3(J,A,B)
| ~ k2(A,B)
| ~ r2(B)
| ~ r3(B,J,J) ) ).
cnf(rule_285,axiom,
( p4(G,G,H)
| ~ r0(G)
| ~ r3(H,G,H) ) ).
cnf(prove_this,negated_conjecture,
~ p4(b,b,c) ).
cnf(refute_0_0,plain,
( ~ r0(b)
| ~ r3(c,b,c)
| p4(b,b,c) ),
inference(subst,[],[rule_285:[bind(G,$fot(b)),bind(H,$fot(c))]]) ).
cnf(refute_0_1,plain,
( ~ k1(c)
| p2(c,c,c) ),
inference(subst,[],[rule_159:[bind(A,$fot(c))]]) ).
cnf(refute_0_2,plain,
( ~ n0(d,c)
| k1(c) ),
inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_3,plain,
k1(c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_2]) ).
cnf(refute_0_4,plain,
p2(c,c,c),
inference(resolve,[$cnf( k1(c) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ p2(c,c,c)
| r3(c,c,c) ),
inference(subst,[],[rule_267:[bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(c))]]) ).
cnf(refute_0_6,plain,
r3(c,c,c),
inference(resolve,[$cnf( p2(c,c,c) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ k2(X_653,c)
| ~ r2(c)
| ~ r3(c,c,c)
| r3(c,X_653,c) ),
inference(subst,[],[rule_272:[bind(A,$fot(X_653)),bind(B,$fot(c)),bind(J,$fot(c))]]) ).
cnf(refute_0_8,plain,
( ~ k2(X_653,c)
| ~ r2(c)
| r3(c,X_653,c) ),
inference(resolve,[$cnf( r3(c,c,c) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ l0(X_199)
| ~ r1(X_199)
| r2(X_199) ),
inference(subst,[],[rule_188:[bind(G,$fot(X_199))]]) ).
cnf(refute_0_10,plain,
q0(X_197,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_197))]]) ).
cnf(refute_0_11,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_12,plain,
( ~ q0(X_197,d)
| ~ q1(d,d,d)
| r1(X_197) ),
inference(subst,[],[refute_0_11:[bind(D,$fot(X_197)),bind(E,$fot(d))]]) ).
cnf(refute_0_13,plain,
( ~ q1(d,d,d)
| r1(X_197) ),
inference(resolve,[$cnf( q0(X_197,d) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
m0(X_158,d,X_157),
inference(subst,[],[axiom_19:[bind(X,$fot(X_158)),bind(Y,$fot(X_157))]]) ).
cnf(refute_0_15,plain,
( ~ m0(X_158,d,X_157)
| q1(X_157,X_157,X_157) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_157)),bind(C,$fot(X_158)),bind(D,$fot(d))]]) ).
cnf(refute_0_16,plain,
q1(X_157,X_157,X_157),
inference(resolve,[$cnf( m0(X_158,d,X_157) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
q1(d,d,d),
inference(subst,[],[refute_0_16:[bind(X_157,$fot(d))]]) ).
cnf(refute_0_18,plain,
r1(X_197),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_17,refute_0_13]) ).
cnf(refute_0_19,plain,
r1(X_199),
inference(subst,[],[refute_0_18:[bind(X_197,$fot(X_199))]]) ).
cnf(refute_0_20,plain,
( ~ l0(X_199)
| r2(X_199) ),
inference(resolve,[$cnf( r1(X_199) )],[refute_0_19,refute_0_9]) ).
cnf(refute_0_21,plain,
( ~ l0(c)
| r2(c) ),
inference(subst,[],[refute_0_20:[bind(X_199,$fot(c))]]) ).
cnf(refute_0_22,plain,
r2(c),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ k2(X_653,c)
| r3(c,X_653,c) ),
inference(resolve,[$cnf( r2(c) )],[refute_0_22,refute_0_8]) ).
cnf(refute_0_24,plain,
( ~ k2(b,c)
| r3(c,b,c) ),
inference(subst,[],[refute_0_23:[bind(X_653,$fot(b))]]) ).
cnf(refute_0_25,plain,
( ~ p0(c,b)
| q1(b,c,c) ),
inference(subst,[],[rule_095:[bind(F,$fot(b)),bind(G,$fot(c))]]) ).
cnf(refute_0_26,plain,
q1(b,c,c),
inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ q1(b,c,c)
| k2(c,c) ),
inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(c))]]) ).
cnf(refute_0_28,plain,
k2(c,c),
inference(resolve,[$cnf( q1(b,c,c) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ l0(X_171)
| ~ r0(b)
| m1(b,X_171,b) ),
inference(subst,[],[rule_035:[bind(I,$fot(b)),bind(J,$fot(X_171))]]) ).
cnf(refute_0_30,plain,
( ~ l0(X_171)
| m1(b,X_171,b) ),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ l0(c)
| m1(b,c,b) ),
inference(subst,[],[refute_0_30:[bind(X_171,$fot(c))]]) ).
cnf(refute_0_32,plain,
m1(b,c,b),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ k1(X_722)
| ~ k2(X_722,c)
| ~ m1(b,c,b)
| k2(b,c) ),
inference(subst,[],[rule_127:[bind(C,$fot(b)),bind(D,$fot(c)),bind(E,$fot(b)),bind(F,$fot(X_722))]]) ).
cnf(refute_0_34,plain,
( ~ k1(X_722)
| ~ k2(X_722,c)
| k2(b,c) ),
inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ k1(c)
| ~ k2(c,c)
| k2(b,c) ),
inference(subst,[],[refute_0_34:[bind(X_722,$fot(c))]]) ).
cnf(refute_0_36,plain,
( ~ k1(c)
| k2(b,c) ),
inference(resolve,[$cnf( k2(c,c) )],[refute_0_28,refute_0_35]) ).
cnf(refute_0_37,plain,
k2(b,c),
inference(resolve,[$cnf( k1(c) )],[refute_0_3,refute_0_36]) ).
cnf(refute_0_38,plain,
r3(c,b,c),
inference(resolve,[$cnf( k2(b,c) )],[refute_0_37,refute_0_24]) ).
cnf(refute_0_39,plain,
( ~ r0(b)
| p4(b,b,c) ),
inference(resolve,[$cnf( r3(c,b,c) )],[refute_0_38,refute_0_0]) ).
cnf(refute_0_40,plain,
p4(b,b,c),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_39]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( p4(b,b,c) )],[refute_0_40,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN270-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 01:48:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.54
% 0.40/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.55
%------------------------------------------------------------------------------