TSTP Solution File: LCL194-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL194-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 12:50:27 EDT 2022
% Result : Unsatisfiable 1.17s 1.37s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 39 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_4,axiom,
axiom(or(not(or(A,B)),or(B,A))) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).
cnf(axiom_1_6,axiom,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ) ).
cnf(rule_3,axiom,
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))) ).
cnf(refute_0_0,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).
cnf(refute_0_1,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(X_5305,X_5306)),or(not(or(not(X_5305),X_5304)),or(X_5306,X_5304))))
| theorem(or(not(or(not(X_5305),X_5304)),or(not(or(X_5305,X_5306)),or(X_5306,X_5304)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_5305,X_5306)))),bind(B,$fot(not(or(not(X_5305),X_5304)))),bind(C,$fot(or(X_5306,X_5304)))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18))))
| theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))))]]) ).
cnf(refute_0_4,plain,
axiom(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))),
inference(subst,[],[axiom_1_6:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).
cnf(refute_0_5,plain,
theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))),
inference(resolve,[$cnf( axiom(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18))))
| theorem(or(not(or(X_19,X_17)),or(not(or(not(X_17),X_18)),or(X_19,X_18)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(not(X_17),X_18)))),bind(B,$fot(not(or(X_19,X_17)))),bind(C,$fot(or(X_19,X_18)))]]) ).
cnf(refute_0_7,plain,
theorem(or(not(or(X_19,X_17)),or(not(or(not(X_17),X_18)),or(X_19,X_18)))),
inference(resolve,[$cnf( theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
theorem(or(not(or(X_3768,X_3767)),or(not(or(not(X_3767),X_18)),or(X_3768,X_18)))),
inference(subst,[],[refute_0_7:[bind(X_17,$fot(X_3767)),bind(X_19,$fot(X_3768))]]) ).
cnf(refute_0_9,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_672))
| theorem(or(not(or(A,B)),X_672)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_672))]]) ).
cnf(refute_0_10,plain,
( ~ theorem(or(not(or(B,A)),X_672))
| theorem(or(not(or(A,B)),X_672)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ theorem(or(not(or(X_3768,X_3767)),or(not(or(not(X_3767),X_18)),or(X_3768,X_18))))
| theorem(or(not(or(X_3767,X_3768)),or(not(or(not(X_3767),X_18)),or(X_3768,X_18)))) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_3767)),bind(B,$fot(X_3768)),bind(X_672,$fot(or(not(or(not(X_3767),X_18)),or(X_3768,X_18))))]]) ).
cnf(refute_0_12,plain,
theorem(or(not(or(X_3767,X_3768)),or(not(or(not(X_3767),X_18)),or(X_3768,X_18)))),
inference(resolve,[$cnf( theorem(or(not(or(X_3768,X_3767)),or(not(or(not(X_3767),X_18)),or(X_3768,X_18)))) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
theorem(or(not(or(X_5305,X_5306)),or(not(or(not(X_5305),X_5304)),or(X_5306,X_5304)))),
inference(subst,[],[refute_0_12:[bind(X_18,$fot(X_5304)),bind(X_3767,$fot(X_5305)),bind(X_3768,$fot(X_5306))]]) ).
cnf(refute_0_14,plain,
theorem(or(not(or(not(X_5305),X_5304)),or(not(or(X_5305,X_5306)),or(X_5306,X_5304)))),
inference(resolve,[$cnf( theorem(or(not(or(X_5305,X_5306)),or(not(or(not(X_5305),X_5304)),or(X_5306,X_5304)))) )],[refute_0_13,refute_0_2]) ).
cnf(refute_0_15,plain,
theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))),
inference(subst,[],[refute_0_14:[bind(X_5304,$fot(r)),bind(X_5305,$fot(q)),bind(X_5306,$fot(p))]]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))) )],[refute_0_15,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL194-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n007.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 00:49:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.17/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/1.37
% 1.17/1.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.17/1.38
%------------------------------------------------------------------------------