TSTP Solution File: SYN266-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN266-1 : 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 09:00:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 21 unt; 0 nHn; 29 RR)
% Number of literals : 67 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_029,axiom,
( m1(H,I,H)
| ~ p0(H,I)
| ~ s0(H) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_155,axiom,
( p2(H,I,I)
| ~ k1(J)
| ~ p2(e,H,I) ) ).
cnf(rule_176,axiom,
( p2(D,E,D)
| ~ m1(E,D,E) ) ).
cnf(rule_236,axiom,
( m3(A,A,A)
| ~ n2(A) ) ).
cnf(rule_251,axiom,
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ) ).
cnf(prove_this,negated_conjecture,
~ p3(b,e,e) ).
cnf(refute_0_0,plain,
( ~ n2(X_107)
| m3(X_107,X_107,X_107) ),
inference(subst,[],[rule_236:[bind(A,$fot(X_107))]]) ).
cnf(refute_0_1,plain,
p0(b,X_65),
inference(subst,[],[axiom_14:[bind(X,$fot(X_65))]]) ).
cnf(refute_0_2,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_3,plain,
p1(X_65,X_65,X_65),
inference(resolve,[$cnf( p0(b,X_65) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
p1(X_104,X_104,X_104),
inference(subst,[],[refute_0_3:[bind(X_65,$fot(X_104))]]) ).
cnf(refute_0_5,plain,
( ~ p1(X_104,X_104,X_104)
| n2(X_104) ),
inference(subst,[],[rule_137:[bind(A,$fot(X_104)),bind(B,$fot(X_104)),bind(C,$fot(X_104))]]) ).
cnf(refute_0_6,plain,
n2(X_104),
inference(resolve,[$cnf( p1(X_104,X_104,X_104) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
n2(X_107),
inference(subst,[],[refute_0_6:[bind(X_104,$fot(X_107))]]) ).
cnf(refute_0_8,plain,
m3(X_107,X_107,X_107),
inference(resolve,[$cnf( n2(X_107) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
m3(e,e,e),
inference(subst,[],[refute_0_8:[bind(X_107,$fot(e))]]) ).
cnf(refute_0_10,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_11,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ m1(b,X_188,b)
| p2(X_188,b,X_188) ),
inference(subst,[],[rule_176:[bind(D,$fot(X_188)),bind(E,$fot(b))]]) ).
cnf(refute_0_13,plain,
p0(b,X_187),
inference(subst,[],[axiom_14:[bind(X,$fot(X_187))]]) ).
cnf(refute_0_14,plain,
( ~ p0(b,X_187)
| ~ s0(b)
| m1(b,X_187,b) ),
inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_187))]]) ).
cnf(refute_0_15,plain,
( ~ s0(b)
| m1(b,X_187,b) ),
inference(resolve,[$cnf( p0(b,X_187) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
m1(b,X_187,b),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_15]) ).
cnf(refute_0_17,plain,
m1(b,X_188,b),
inference(subst,[],[refute_0_16:[bind(X_187,$fot(X_188))]]) ).
cnf(refute_0_18,plain,
p2(X_188,b,X_188),
inference(resolve,[$cnf( m1(b,X_188,b) )],[refute_0_17,refute_0_12]) ).
cnf(refute_0_19,plain,
p2(e,b,e),
inference(subst,[],[refute_0_18:[bind(X_188,$fot(e))]]) ).
cnf(refute_0_20,plain,
( ~ k1(X_269)
| ~ p2(e,b,e)
| p2(b,e,e) ),
inference(subst,[],[rule_155:[bind(H,$fot(b)),bind(I,$fot(e)),bind(J,$fot(X_269))]]) ).
cnf(refute_0_21,plain,
( ~ k1(X_269)
| p2(b,e,e) ),
inference(resolve,[$cnf( p2(e,b,e) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ k1(a)
| p2(b,e,e) ),
inference(subst,[],[refute_0_21:[bind(X_269,$fot(a))]]) ).
cnf(refute_0_23,plain,
p2(b,e,e),
inference(resolve,[$cnf( k1(a) )],[refute_0_11,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ m3(e,X_559,e)
| ~ p2(b,e,e)
| p3(b,e,e) ),
inference(subst,[],[rule_251:[bind(A,$fot(b)),bind(B,$fot(e)),bind(C,$fot(X_559)),bind(D,$fot(e))]]) ).
cnf(refute_0_25,plain,
( ~ m3(e,X_559,e)
| p3(b,e,e) ),
inference(resolve,[$cnf( p2(b,e,e) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
~ m3(e,X_559,e),
inference(resolve,[$cnf( p3(b,e,e) )],[refute_0_25,prove_this]) ).
cnf(refute_0_27,plain,
~ m3(e,e,e),
inference(subst,[],[refute_0_26:[bind(X_559,$fot(e))]]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( m3(e,e,e) )],[refute_0_9,refute_0_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN266-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % 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 : Tue Jul 12 01:30:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.52
%------------------------------------------------------------------------------