TSTP Solution File: LCL218-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL218-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 12:50:47 EDT 2022
% Result : Unsatisfiable 1.68s 1.88s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of clauses : 36 ( 19 unt; 0 nHn; 20 RR)
% Number of literals : 59 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 84 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(or(p,q)),q)),or(not(p),q))) ).
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,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(X_7058),or(not(or(not(or(X_7058,X_7057)),X_7056)),X_7056)))
| theorem(or(not(or(not(or(X_7058,X_7057)),X_7056)),or(not(X_7058),X_7056))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(X_7058))),bind(B,$fot(not(or(not(or(X_7058,X_7057)),X_7056)))),bind(C,$fot(X_7056))]]) ).
cnf(refute_0_3,plain,
axiom(or(not(X_258),or(B,X_258))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_258))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(X_258),or(B,X_258)))
| ~ theorem(or(not(or(B,X_258)),X_260))
| theorem(or(not(X_258),X_260)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_258)),bind(Y,$fot(or(B,X_258))),bind(Z,$fot(X_260))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(or(B,X_258)),X_260))
| theorem(or(not(X_258),X_260)) ),
inference(resolve,[$cnf( axiom(or(not(X_258),or(B,X_258))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(X_6909,X_6910)),or(not(or(not(or(X_6910,X_6909)),X_6908)),X_6908)))
| theorem(or(not(X_6910),or(not(or(not(or(X_6910,X_6909)),X_6908)),X_6908))) ),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_6909)),bind(X_258,$fot(X_6910)),bind(X_260,$fot(or(not(or(not(or(X_6910,X_6909)),X_6908)),X_6908)))]]) ).
cnf(refute_0_7,plain,
axiom(or(not(or(X_310,X_309)),or(X_309,X_310))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_310)),bind(B,$fot(X_309))]]) ).
cnf(refute_0_8,plain,
( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).
cnf(refute_0_9,plain,
axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_10,plain,
theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
( ~ axiom(or(not(X_258),or(X_7,X_8)))
| ~ theorem(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(X_258),or(X_8,X_7))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_258)),bind(Y,$fot(or(X_7,X_8))),bind(Z,$fot(or(X_8,X_7)))]]) ).
cnf(refute_0_12,plain,
( ~ axiom(or(not(X_258),or(X_7,X_8)))
| theorem(or(not(X_258),or(X_8,X_7))) ),
inference(resolve,[$cnf( theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ axiom(or(not(or(X_310,X_309)),or(X_309,X_310)))
| theorem(or(not(or(X_310,X_309)),or(X_310,X_309))) ),
inference(subst,[],[refute_0_12:[bind(X_258,$fot(or(X_310,X_309))),bind(X_7,$fot(X_309)),bind(X_8,$fot(X_310))]]) ).
cnf(refute_0_14,plain,
theorem(or(not(or(X_310,X_309)),or(X_310,X_309))),
inference(resolve,[$cnf( axiom(or(not(or(X_310,X_309)),or(X_309,X_310))) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
theorem(or(not(or(X_1056,X_1057)),or(X_1056,X_1057))),
inference(subst,[],[refute_0_14:[bind(X_309,$fot(X_1057)),bind(X_310,$fot(X_1056))]]) ).
cnf(refute_0_16,plain,
( ~ theorem(or(not(or(X_1056,X_1057)),or(X_1056,X_1057)))
| theorem(or(X_1056,or(not(or(X_1056,X_1057)),X_1057))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_1056,X_1057)))),bind(B,$fot(X_1056)),bind(C,$fot(X_1057))]]) ).
cnf(refute_0_17,plain,
theorem(or(X_1056,or(not(or(X_1056,X_1057)),X_1057))),
inference(resolve,[$cnf( theorem(or(not(or(X_1056,X_1057)),or(X_1056,X_1057))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
theorem(or(not(or(X_6616,X_6615)),or(not(or(not(or(X_6616,X_6615)),X_1057)),X_1057))),
inference(subst,[],[refute_0_17:[bind(X_1056,$fot(not(or(X_6616,X_6615))))]]) ).
cnf(refute_0_19,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_260))
| theorem(or(not(or(A,B)),X_260)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_260))]]) ).
cnf(refute_0_20,plain,
( ~ theorem(or(not(or(B,A)),X_260))
| theorem(or(not(or(A,B)),X_260)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ theorem(or(not(or(X_6616,X_6615)),or(not(or(not(or(X_6616,X_6615)),X_1057)),X_1057)))
| theorem(or(not(or(X_6615,X_6616)),or(not(or(not(or(X_6616,X_6615)),X_1057)),X_1057))) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_6615)),bind(B,$fot(X_6616)),bind(X_260,$fot(or(not(or(not(or(X_6616,X_6615)),X_1057)),X_1057)))]]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(X_6615,X_6616)),or(not(or(not(or(X_6616,X_6615)),X_1057)),X_1057))),
inference(resolve,[$cnf( theorem(or(not(or(X_6616,X_6615)),or(not(or(not(or(X_6616,X_6615)),X_1057)),X_1057))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
theorem(or(not(or(X_6909,X_6910)),or(not(or(not(or(X_6910,X_6909)),X_6908)),X_6908))),
inference(subst,[],[refute_0_22:[bind(X_1057,$fot(X_6908)),bind(X_6615,$fot(X_6909)),bind(X_6616,$fot(X_6910))]]) ).
cnf(refute_0_24,plain,
theorem(or(not(X_6910),or(not(or(not(or(X_6910,X_6909)),X_6908)),X_6908))),
inference(resolve,[$cnf( theorem(or(not(or(X_6909,X_6910)),or(not(or(not(or(X_6910,X_6909)),X_6908)),X_6908))) )],[refute_0_23,refute_0_6]) ).
cnf(refute_0_25,plain,
theorem(or(not(X_7058),or(not(or(not(or(X_7058,X_7057)),X_7056)),X_7056))),
inference(subst,[],[refute_0_24:[bind(X_6908,$fot(X_7056)),bind(X_6909,$fot(X_7057)),bind(X_6910,$fot(X_7058))]]) ).
cnf(refute_0_26,plain,
theorem(or(not(or(not(or(X_7058,X_7057)),X_7056)),or(not(X_7058),X_7056))),
inference(resolve,[$cnf( theorem(or(not(X_7058),or(not(or(not(or(X_7058,X_7057)),X_7056)),X_7056))) )],[refute_0_25,refute_0_2]) ).
cnf(refute_0_27,plain,
theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))),
inference(subst,[],[refute_0_26:[bind(X_7056,$fot(q)),bind(X_7057,$fot(q)),bind(X_7058,$fot(p))]]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) )],[refute_0_27,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL218-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n019.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 : Mon Jul 4 02:49:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.68/1.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/1.88
% 1.68/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.68/1.89
%------------------------------------------------------------------------------