TSTP Solution File: LCL182-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL182-1 : TPTP v8.1.0. Released v1.1.0.
% 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 12:50:19 EDT 2022
% Result : Unsatisfiable 0.77s 0.97s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of clauses : 39 ( 20 unt; 0 nHn; 20 RR)
% Number of literals : 65 ( 0 equ; 27 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 82 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(or(not(or(A,A)),A)) ).
cnf(axiom_1_3,axiom,
axiom(or(not(A),or(B,A))) ).
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(p),q)),or(not(not(q)),not(p)))) ).
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,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(not(X_2658)),or(not(or(X_2659,X_2658)),X_2659)))
| theorem(or(not(or(X_2659,X_2658)),or(not(not(X_2658)),X_2659))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(not(X_2658)))),bind(B,$fot(not(or(X_2659,X_2658)))),bind(C,$fot(X_2659))]]) ).
cnf(refute_0_3,plain,
axiom(or(not(X_385),or(B,X_385))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_385))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(X_385),or(B,X_385)))
| ~ theorem(or(not(or(B,X_385)),X_387))
| theorem(or(not(X_385),X_387)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_385)),bind(Y,$fot(or(B,X_385))),bind(Z,$fot(X_387))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(or(B,X_385)),X_387))
| theorem(or(not(X_385),X_387)) ),
inference(resolve,[$cnf( axiom(or(not(X_385),or(B,X_385))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(X_2655,not(X_2654))),or(not(or(X_2655,X_2654)),X_2655)))
| theorem(or(not(not(X_2654)),or(not(or(X_2655,X_2654)),X_2655))) ),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_2655)),bind(X_385,$fot(not(X_2654))),bind(X_387,$fot(or(not(or(X_2655,X_2654)),X_2655)))]]) ).
cnf(refute_0_7,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_387))
| theorem(or(not(or(A,B)),X_387)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_387))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(not(or(B,A)),X_387))
| theorem(or(not(or(A,B)),X_387)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ theorem(or(not(or(not(X_2634),X_2635)),or(not(or(X_2635,X_2634)),X_2635)))
| theorem(or(not(or(X_2635,not(X_2634))),or(not(or(X_2635,X_2634)),X_2635))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_2635)),bind(B,$fot(not(X_2634))),bind(X_387,$fot(or(not(or(X_2635,X_2634)),X_2635)))]]) ).
cnf(refute_0_10,plain,
( ~ axiom(or(not(or(A,A)),A))
| theorem(or(not(or(A,A)),A)) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(A,A)),A)))]]) ).
cnf(refute_0_11,plain,
theorem(or(not(or(A,A)),A)),
inference(resolve,[$cnf( axiom(or(not(or(A,A)),A)) )],[axiom_1_2,refute_0_10]) ).
cnf(refute_0_12,plain,
theorem(or(not(or(X_638,X_638)),X_638)),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_638))]]) ).
cnf(refute_0_13,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).
cnf(refute_0_14,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ theorem(or(not(or(X_638,X_638)),X_638))
| theorem(or(not(or(X_639,or(X_638,X_638))),or(X_639,X_638))) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(or(X_638,X_638))),bind(B,$fot(X_638)),bind(C,$fot(X_639))]]) ).
cnf(refute_0_16,plain,
theorem(or(not(or(X_639,or(X_638,X_638))),or(X_639,X_638))),
inference(resolve,[$cnf( theorem(or(not(or(X_638,X_638)),X_638)) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
theorem(or(not(or(not(or(X_2631,X_2630)),or(X_2631,X_2631))),or(not(or(X_2631,X_2630)),X_2631))),
inference(subst,[],[refute_0_16:[bind(X_638,$fot(X_2631)),bind(X_639,$fot(not(or(X_2631,X_2630))))]]) ).
cnf(refute_0_18,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_387))
| theorem(or(not(or(not(A),B)),X_387)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(not(A),B))),bind(Y,$fot(or(not(or(C,A)),or(C,B)))),bind(Z,$fot(X_387))]]) ).
cnf(refute_0_19,plain,
( ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_387))
| theorem(or(not(or(not(A),B)),X_387)) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ theorem(or(not(or(not(or(X_2631,X_2630)),or(X_2631,X_2631))),or(not(or(X_2631,X_2630)),X_2631)))
| theorem(or(not(or(not(X_2630),X_2631)),or(not(or(X_2631,X_2630)),X_2631))) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_2630)),bind(B,$fot(X_2631)),bind(C,$fot(X_2631)),bind(X_387,$fot(or(not(or(X_2631,X_2630)),X_2631)))]]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(not(X_2630),X_2631)),or(not(or(X_2631,X_2630)),X_2631))),
inference(resolve,[$cnf( theorem(or(not(or(not(or(X_2631,X_2630)),or(X_2631,X_2631))),or(not(or(X_2631,X_2630)),X_2631))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(not(X_2634),X_2635)),or(not(or(X_2635,X_2634)),X_2635))),
inference(subst,[],[refute_0_21:[bind(X_2630,$fot(X_2634)),bind(X_2631,$fot(X_2635))]]) ).
cnf(refute_0_23,plain,
theorem(or(not(or(X_2635,not(X_2634))),or(not(or(X_2635,X_2634)),X_2635))),
inference(resolve,[$cnf( theorem(or(not(or(not(X_2634),X_2635)),or(not(or(X_2635,X_2634)),X_2635))) )],[refute_0_22,refute_0_9]) ).
cnf(refute_0_24,plain,
theorem(or(not(or(X_2655,not(X_2654))),or(not(or(X_2655,X_2654)),X_2655))),
inference(subst,[],[refute_0_23:[bind(X_2634,$fot(X_2654)),bind(X_2635,$fot(X_2655))]]) ).
cnf(refute_0_25,plain,
theorem(or(not(not(X_2654)),or(not(or(X_2655,X_2654)),X_2655))),
inference(resolve,[$cnf( theorem(or(not(or(X_2655,not(X_2654))),or(not(or(X_2655,X_2654)),X_2655))) )],[refute_0_24,refute_0_6]) ).
cnf(refute_0_26,plain,
theorem(or(not(not(X_2658)),or(not(or(X_2659,X_2658)),X_2659))),
inference(subst,[],[refute_0_25:[bind(X_2654,$fot(X_2658)),bind(X_2655,$fot(X_2659))]]) ).
cnf(refute_0_27,plain,
theorem(or(not(or(X_2659,X_2658)),or(not(not(X_2658)),X_2659))),
inference(resolve,[$cnf( theorem(or(not(not(X_2658)),or(not(or(X_2659,X_2658)),X_2659))) )],[refute_0_26,refute_0_2]) ).
cnf(refute_0_28,plain,
theorem(or(not(or(not(p),q)),or(not(not(q)),not(p)))),
inference(subst,[],[refute_0_27:[bind(X_2658,$fot(q)),bind(X_2659,$fot(not(p)))]]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(not(p),q)),or(not(not(q)),not(p)))) )],[refute_0_28,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL182-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 17:28:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.77/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.97
% 0.77/0.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.77/0.97
%------------------------------------------------------------------------------