TSTP Solution File: LCL190-3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL190-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 12:50:25 EDT 2022
% Result : Unsatisfiable 0.81s 0.99s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 26 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_4,axiom,
axiom(implies(or(A,B),or(B,A))) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(or(p,or(q,r)),or(p,or(r,q)))) ).
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,
( ~ axiom(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28))))
| theorem(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28)))))]]) ).
cnf(refute_0_4,plain,
axiom(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28)))),
inference(subst,[],[axiom_1_6:[bind(A,$fot(X_27)),bind(B,$fot(X_28)),bind(C,$fot(X_29))]]) ).
cnf(refute_0_5,plain,
theorem(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28)))),
inference(resolve,[$cnf( axiom(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28)))) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ theorem(implies(X_27,X_28))
| ~ theorem(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28))))
| theorem(implies(or(X_29,X_27),or(X_29,X_28))) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(or(X_29,X_27),or(X_29,X_28)))),bind(Y,$fot(implies(X_27,X_28)))]]) ).
cnf(refute_0_7,plain,
( ~ theorem(implies(X_27,X_28))
| theorem(implies(or(X_29,X_27),or(X_29,X_28))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_27,X_28),implies(or(X_29,X_27),or(X_29,X_28)))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ theorem(implies(or(X_7,X_8),or(X_8,X_7)))
| theorem(implies(or(X_1878,or(X_7,X_8)),or(X_1878,or(X_8,X_7)))) ),
inference(subst,[],[refute_0_7:[bind(X_27,$fot(or(X_7,X_8))),bind(X_28,$fot(or(X_8,X_7))),bind(X_29,$fot(X_1878))]]) ).
cnf(refute_0_9,plain,
theorem(implies(or(X_1878,or(X_7,X_8)),or(X_1878,or(X_8,X_7)))),
inference(resolve,[$cnf( theorem(implies(or(X_7,X_8),or(X_8,X_7))) )],[refute_0_2,refute_0_8]) ).
cnf(refute_0_10,plain,
theorem(implies(or(p,or(q,r)),or(p,or(r,q)))),
inference(subst,[],[refute_0_9:[bind(X_1878,$fot(p)),bind(X_7,$fot(q)),bind(X_8,$fot(r))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( theorem(implies(or(p,or(q,r)),or(p,or(r,q)))) )],[refute_0_10,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL190-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n004.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 : Sun Jul 3 18:32:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.81/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.99
% 0.81/0.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.81/0.99
%------------------------------------------------------------------------------