TSTP Solution File: LCL171-3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL171-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 : Sun Jul 17 12:50:10 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 13 RR)
% Number of literals : 39 ( 17 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_4,axiom,
axiom(implies(or(A,B),or(B,A))) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(p,not(q)),implies(q,not(p)))) ).
cnf(refute_0_0,plain,
( ~ axiom(implies(or(X_7,X_8),or(X_8,X_7)))
| theorem(implies(or(X_7,X_8),or(X_8,X_7))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(or(X_7,X_8),or(X_8,X_7))))]]) ).
cnf(refute_0_1,plain,
axiom(implies(or(X_7,X_8),or(X_8,X_7))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_2,plain,
theorem(implies(or(X_7,X_8),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(implies(or(X_7,X_8),or(X_8,X_7))) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
theorem(implies(or(X_7,not(X_11)),or(not(X_11),X_7))),
inference(subst,[],[refute_0_2:[bind(X_8,$fot(not(X_11)))]]) ).
cnf(refute_0_4,plain,
implies(X_11,X_7) = or(not(X_11),X_7),
inference(subst,[],[implies_definition:[bind(X,$fot(X_11)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( implies(X_11,X_7) != or(not(X_11),X_7)
| or(not(X_11),X_7) = implies(X_11,X_7) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(implies(X_11,X_7))),bind(Y0,$fot(or(not(X_11),X_7)))]]) ).
cnf(refute_0_9,plain,
or(not(X_11),X_7) = implies(X_11,X_7),
inference(resolve,[$cnf( $equal(implies(X_11,X_7),or(not(X_11),X_7)) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( or(not(X_11),X_7) != implies(X_11,X_7)
| ~ theorem(implies(or(X_7,not(X_11)),or(not(X_11),X_7)))
| theorem(implies(or(X_7,not(X_11)),implies(X_11,X_7))) ),
introduced(tautology,[equality,[$cnf( theorem(implies(or(X_7,not(X_11)),or(not(X_11),X_7))) ),[0,1],$fot(implies(X_11,X_7))]]) ).
cnf(refute_0_11,plain,
( ~ theorem(implies(or(X_7,not(X_11)),or(not(X_11),X_7)))
| theorem(implies(or(X_7,not(X_11)),implies(X_11,X_7))) ),
inference(resolve,[$cnf( $equal(or(not(X_11),X_7),implies(X_11,X_7)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
theorem(implies(or(X_7,not(X_11)),implies(X_11,X_7))),
inference(resolve,[$cnf( theorem(implies(or(X_7,not(X_11)),or(not(X_11),X_7))) )],[refute_0_3,refute_0_11]) ).
cnf(refute_0_13,plain,
theorem(implies(or(not(X),not(X_14)),implies(X_14,not(X)))),
inference(subst,[],[refute_0_12:[bind(X_11,$fot(X_14)),bind(X_7,$fot(not(X)))]]) ).
cnf(refute_0_14,plain,
implies(X,not(X_14)) = or(not(X),not(X_14)),
inference(subst,[],[implies_definition:[bind(Y,$fot(not(X_14)))]]) ).
cnf(refute_0_15,plain,
( implies(X,not(X_14)) != or(not(X),not(X_14))
| or(not(X),not(X_14)) = implies(X,not(X_14)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(implies(X,not(X_14)))),bind(Y0,$fot(or(not(X),not(X_14))))]]) ).
cnf(refute_0_16,plain,
or(not(X),not(X_14)) = implies(X,not(X_14)),
inference(resolve,[$cnf( $equal(implies(X,not(X_14)),or(not(X),not(X_14))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( or(not(X),not(X_14)) != implies(X,not(X_14))
| ~ theorem(implies(or(not(X),not(X_14)),implies(X_14,not(X))))
| theorem(implies(implies(X,not(X_14)),implies(X_14,not(X)))) ),
introduced(tautology,[equality,[$cnf( theorem(implies(or(not(X),not(X_14)),implies(X_14,not(X)))) ),[0,0],$fot(implies(X,not(X_14)))]]) ).
cnf(refute_0_18,plain,
( ~ theorem(implies(or(not(X),not(X_14)),implies(X_14,not(X))))
| theorem(implies(implies(X,not(X_14)),implies(X_14,not(X)))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(X_14)),implies(X,not(X_14))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
theorem(implies(implies(X,not(X_14)),implies(X_14,not(X)))),
inference(resolve,[$cnf( theorem(implies(or(not(X),not(X_14)),implies(X_14,not(X)))) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
theorem(implies(implies(p,not(q)),implies(q,not(p)))),
inference(subst,[],[refute_0_19:[bind(X,$fot(p)),bind(X_14,$fot(q))]]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( theorem(implies(implies(p,not(q)),implies(q,not(p)))) )],[refute_0_20,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL171-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 23:45:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------