TSTP Solution File: LCL192-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL192-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 12:50:26 EDT 2022
% Result : Unsatisfiable 11.67s 11.86s
% Output : CNFRefutation 11.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 44 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 64 ( 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(or(p,q),r)),or(p,or(q,r)))) ).
cnf(refute_0_0,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_471))
| theorem(or(not(or(A,B)),X_471)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_471))]]) ).
cnf(refute_0_1,plain,
( ~ theorem(or(not(or(B,A)),X_471))
| theorem(or(not(or(A,B)),X_471)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(X_39725,or(X_39726,X_39727))),or(X_39726,or(X_39727,X_39725))))
| theorem(or(not(or(or(X_39726,X_39727),X_39725)),or(X_39726,or(X_39727,X_39725)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(or(X_39726,X_39727))),bind(B,$fot(X_39725)),bind(X_471,$fot(or(X_39726,or(X_39727,X_39725))))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).
cnf(refute_0_4,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_5,plain,
theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).
cnf(refute_0_7,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(or(X_755,or(X_7,X_8))),or(X_755,or(X_8,X_7)))) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(or(X_7,X_8))),bind(B,$fot(or(X_8,X_7))),bind(C,$fot(X_755))]]) ).
cnf(refute_0_9,plain,
theorem(or(not(or(X_755,or(X_7,X_8))),or(X_755,or(X_8,X_7)))),
inference(resolve,[$cnf( theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
theorem(or(not(or(X_38775,or(X_38774,X_38776))),or(X_38775,or(X_38776,X_38774)))),
inference(subst,[],[refute_0_9:[bind(X_7,$fot(X_38774)),bind(X_755,$fot(X_38775)),bind(X_8,$fot(X_38776))]]) ).
cnf(refute_0_11,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(not(or(B,or(A,C))),X_471))
| theorem(or(not(or(A,or(B,C))),X_471)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,or(B,C)))),bind(Y,$fot(or(B,or(A,C)))),bind(Z,$fot(X_471))]]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(not(or(B,or(A,C))),X_471))
| theorem(or(not(or(A,or(B,C))),X_471)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ theorem(or(not(or(X_38775,or(X_38774,X_38776))),or(X_38775,or(X_38776,X_38774))))
| theorem(or(not(or(X_38774,or(X_38775,X_38776))),or(X_38775,or(X_38776,X_38774)))) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_38774)),bind(B,$fot(X_38775)),bind(C,$fot(X_38776)),bind(X_471,$fot(or(X_38775,or(X_38776,X_38774))))]]) ).
cnf(refute_0_14,plain,
theorem(or(not(or(X_38774,or(X_38775,X_38776))),or(X_38775,or(X_38776,X_38774)))),
inference(resolve,[$cnf( theorem(or(not(or(X_38775,or(X_38774,X_38776))),or(X_38775,or(X_38776,X_38774)))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
theorem(or(not(or(X_39725,or(X_39726,X_39727))),or(X_39726,or(X_39727,X_39725)))),
inference(subst,[],[refute_0_14:[bind(X_38774,$fot(X_39725)),bind(X_38775,$fot(X_39726)),bind(X_38776,$fot(X_39727))]]) ).
cnf(refute_0_16,plain,
theorem(or(not(or(or(X_39726,X_39727),X_39725)),or(X_39726,or(X_39727,X_39725)))),
inference(resolve,[$cnf( theorem(or(not(or(X_39725,or(X_39726,X_39727))),or(X_39726,or(X_39727,X_39725)))) )],[refute_0_15,refute_0_2]) ).
cnf(refute_0_17,plain,
theorem(or(not(or(or(p,q),r)),or(p,or(q,r)))),
inference(subst,[],[refute_0_16:[bind(X_39725,$fot(r)),bind(X_39726,$fot(p)),bind(X_39727,$fot(q))]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(or(p,q),r)),or(p,or(q,r)))) )],[refute_0_17,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL192-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.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 16:28:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.67/11.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.67/11.86
% 11.67/11.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.67/11.86
%------------------------------------------------------------------------------