TSTP Solution File: SYN224-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 09:00:33 EDT 2022
% Result : Unsatisfiable 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 11 unt; 0 nHn; 19 RR)
% Number of literals : 30 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_075,axiom,
( p1(a,a,a)
| ~ p0(b,a) ) ).
cnf(rule_136,axiom,
( m2(b)
| ~ k1(b) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_217,axiom,
( l3(C,C)
| ~ n2(C)
| ~ m2(b) ) ).
cnf(prove_this,negated_conjecture,
~ l3(a,X) ).
cnf(refute_0_0,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_1,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_0]) ).
cnf(refute_0_2,plain,
m2(b),
inference(resolve,[$cnf( k1(b) )],[refute_0_1,rule_136]) ).
cnf(refute_0_3,plain,
( ~ n2(C)
| l3(C,C) ),
inference(resolve,[$cnf( m2(b) )],[refute_0_2,rule_217]) ).
cnf(refute_0_4,plain,
( ~ n2(a)
| l3(a,a) ),
inference(subst,[],[refute_0_3:[bind(C,$fot(a))]]) ).
cnf(refute_0_5,plain,
p0(b,a),
inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).
cnf(refute_0_6,plain,
p1(a,a,a),
inference(resolve,[$cnf( p0(b,a) )],[refute_0_5,rule_075]) ).
cnf(refute_0_7,plain,
( ~ p1(a,a,a)
| n2(a) ),
inference(subst,[],[rule_137:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(a))]]) ).
cnf(refute_0_8,plain,
n2(a),
inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
l3(a,a),
inference(resolve,[$cnf( n2(a) )],[refute_0_8,refute_0_4]) ).
cnf(refute_0_10,plain,
~ l3(a,a),
inference(subst,[],[prove_this:[bind(X,$fot(a))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( l3(a,a) )],[refute_0_9,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n006.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 : Mon Jul 11 13:50:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47
% 0.21/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.47
%------------------------------------------------------------------------------