%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN176-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 09:00:13 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 69 ( 0 equ; 33 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 : 33 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_23,axiom,
m0(a,e,e) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_126,axiom,
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ) ).
cnf(rule_133,axiom,
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ) ).
cnf(rule_183,axiom,
( q2(D,c,E)
| ~ k1(E)
| ~ l0(c)
| ~ l2(E,D) ) ).
cnf(prove_this,negated_conjecture,
~ q2(e,c,X) ).
cnf(refute_0_0,plain,
( ~ k1(E)
| ~ l2(E,D)
| q2(D,c,E) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_183]) ).
cnf(refute_0_1,plain,
( ~ k1(e)
| ~ l2(e,e)
| q2(e,c,e) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(e)),bind(E,$fot(e))]]) ).
cnf(refute_0_2,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_3,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_4,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ q0(a,b)
| ~ s1(X_217)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_217))]]) ).
cnf(refute_0_6,plain,
( ~ s1(X_217)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_6:[bind(X_217,$fot(b))]]) ).
cnf(refute_0_8,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
q0(X_215,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_215))]]) ).
cnf(refute_0_10,plain,
( ~ q0(X_215,d)
| ~ s1(X_217)
| s1(X_215) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_215)),bind(G,$fot(d)),bind(H,$fot(X_217))]]) ).
cnf(refute_0_11,plain,
( ~ s1(X_217)
| s1(X_215) ),
inference(resolve,[$cnf( q0(X_215,d) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ s1(a)
| s1(X_221) ),
inference(subst,[],[refute_0_11:[bind(X_215,$fot(X_221)),bind(X_217,$fot(a))]]) ).
cnf(refute_0_13,plain,
s1(X_221),
inference(resolve,[$cnf( s1(a) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
s1(B),
inference(subst,[],[refute_0_13:[bind(X_221,$fot(B))]]) ).
cnf(refute_0_15,plain,
( ~ m0(C,B,J)
| ~ p0(A,A)
| l2(J,J) ),
inference(resolve,[$cnf( s1(B) )],[refute_0_14,rule_133]) ).
cnf(refute_0_16,plain,
( ~ m0(a,e,e)
| ~ p0(X_762,X_762)
| l2(e,e) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_762)),bind(B,$fot(e)),bind(C,$fot(a)),bind(J,$fot(e))]]) ).
cnf(refute_0_17,plain,
( ~ p0(X_762,X_762)
| l2(e,e) ),
inference(resolve,[$cnf( m0(a,e,e) )],[axiom_23,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p0(b,b)
| l2(e,e) ),
inference(subst,[],[refute_0_17:[bind(X_762,$fot(b))]]) ).
cnf(refute_0_19,plain,
l2(e,e),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ k1(e)
| q2(e,c,e) ),
inference(resolve,[$cnf( l2(e,e) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_22,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_21]) ).
cnf(refute_0_23,plain,
q2(e,c,e),
inference(resolve,[$cnf( k1(e) )],[refute_0_22,refute_0_20]) ).
cnf(refute_0_24,plain,
~ q2(e,c,e),
inference(subst,[],[prove_this:[bind(X,$fot(e))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( q2(e,c,e) )],[refute_0_23,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN176-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 05:04:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.54
%------------------------------------------------------------------------------