TSTP Solution File: LCL195-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL195-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 12:50:28 EDT 2022
% Result : Unsatisfiable 79.35s 79.53s
% Output : CNFRefutation 79.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of clauses : 34 ( 17 unt; 0 nHn; 18 RR)
% Number of literals : 57 ( 0 equ; 24 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 : 88 ( 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(r,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,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(X_75054,X_75056)),or(not(or(not(X_75054),X_75055)),or(X_75055,X_75056))))
| theorem(or(not(or(not(X_75054),X_75055)),or(not(or(X_75054,X_75056)),or(X_75055,X_75056)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_75054,X_75056)))),bind(B,$fot(not(or(not(X_75054),X_75055)))),bind(C,$fot(or(X_75055,X_75056)))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_368))
| theorem(or(not(or(A,B)),X_368)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_368))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(not(or(B,A)),X_368))
| theorem(or(not(or(A,B)),X_368)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(or(X_69378,X_69376)),or(not(or(not(X_69376),X_69377)),or(X_69377,X_69378))))
| theorem(or(not(or(X_69376,X_69378)),or(not(or(not(X_69376),X_69377)),or(X_69377,X_69378)))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_69376)),bind(B,$fot(X_69378)),bind(X_368,$fot(or(not(or(not(X_69376),X_69377)),or(X_69377,X_69378))))]]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(not(X_66649),X_66650)),or(not(or(X_66651,X_66649)),or(X_66650,X_66651))))
| theorem(or(not(or(X_66651,X_66649)),or(not(or(not(X_66649),X_66650)),or(X_66650,X_66651)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(not(X_66649),X_66650)))),bind(B,$fot(not(or(X_66651,X_66649)))),bind(C,$fot(or(X_66650,X_66651)))]]) ).
cnf(refute_0_7,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,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).
cnf(refute_0_8,plain,
axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_9,plain,
theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,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_11,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(or(X_596,or(X_7,X_8))),or(X_596,or(X_8,X_7)))) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(or(X_7,X_8))),bind(B,$fot(or(X_8,X_7))),bind(C,$fot(X_596))]]) ).
cnf(refute_0_13,plain,
theorem(or(not(or(X_596,or(X_7,X_8))),or(X_596,or(X_8,X_7)))),
inference(resolve,[$cnf( theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
theorem(or(not(or(not(or(X_65363,X_65361)),or(X_65363,X_65362))),or(not(or(X_65363,X_65361)),or(X_65362,X_65363)))),
inference(subst,[],[refute_0_13:[bind(X_596,$fot(not(or(X_65363,X_65361)))),bind(X_7,$fot(X_65363)),bind(X_8,$fot(X_65362))]]) ).
cnf(refute_0_15,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_368))
| theorem(or(not(or(not(A),B)),X_368)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(not(A),B))),bind(Y,$fot(or(not(or(C,A)),or(C,B)))),bind(Z,$fot(X_368))]]) ).
cnf(refute_0_16,plain,
( ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_368))
| theorem(or(not(or(not(A),B)),X_368)) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ theorem(or(not(or(not(or(X_65363,X_65361)),or(X_65363,X_65362))),or(not(or(X_65363,X_65361)),or(X_65362,X_65363))))
| theorem(or(not(or(not(X_65361),X_65362)),or(not(or(X_65363,X_65361)),or(X_65362,X_65363)))) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_65361)),bind(B,$fot(X_65362)),bind(C,$fot(X_65363)),bind(X_368,$fot(or(not(or(X_65363,X_65361)),or(X_65362,X_65363))))]]) ).
cnf(refute_0_18,plain,
theorem(or(not(or(not(X_65361),X_65362)),or(not(or(X_65363,X_65361)),or(X_65362,X_65363)))),
inference(resolve,[$cnf( theorem(or(not(or(not(or(X_65363,X_65361)),or(X_65363,X_65362))),or(not(or(X_65363,X_65361)),or(X_65362,X_65363)))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
theorem(or(not(or(not(X_66649),X_66650)),or(not(or(X_66651,X_66649)),or(X_66650,X_66651)))),
inference(subst,[],[refute_0_18:[bind(X_65361,$fot(X_66649)),bind(X_65362,$fot(X_66650)),bind(X_65363,$fot(X_66651))]]) ).
cnf(refute_0_20,plain,
theorem(or(not(or(X_66651,X_66649)),or(not(or(not(X_66649),X_66650)),or(X_66650,X_66651)))),
inference(resolve,[$cnf( theorem(or(not(or(not(X_66649),X_66650)),or(not(or(X_66651,X_66649)),or(X_66650,X_66651)))) )],[refute_0_19,refute_0_6]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(X_69378,X_69376)),or(not(or(not(X_69376),X_69377)),or(X_69377,X_69378)))),
inference(subst,[],[refute_0_20:[bind(X_66649,$fot(X_69376)),bind(X_66650,$fot(X_69377)),bind(X_66651,$fot(X_69378))]]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(X_69376,X_69378)),or(not(or(not(X_69376),X_69377)),or(X_69377,X_69378)))),
inference(resolve,[$cnf( theorem(or(not(or(X_69378,X_69376)),or(not(or(not(X_69376),X_69377)),or(X_69377,X_69378)))) )],[refute_0_21,refute_0_5]) ).
cnf(refute_0_23,plain,
theorem(or(not(or(X_75054,X_75056)),or(not(or(not(X_75054),X_75055)),or(X_75055,X_75056)))),
inference(subst,[],[refute_0_22:[bind(X_69376,$fot(X_75054)),bind(X_69377,$fot(X_75055)),bind(X_69378,$fot(X_75056))]]) ).
cnf(refute_0_24,plain,
theorem(or(not(or(not(X_75054),X_75055)),or(not(or(X_75054,X_75056)),or(X_75055,X_75056)))),
inference(resolve,[$cnf( theorem(or(not(or(X_75054,X_75056)),or(not(or(not(X_75054),X_75055)),or(X_75055,X_75056)))) )],[refute_0_23,refute_0_2]) ).
cnf(refute_0_25,plain,
theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))),
inference(subst,[],[refute_0_24:[bind(X_75054,$fot(q)),bind(X_75055,$fot(r)),bind(X_75056,$fot(p))]]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))) )],[refute_0_25,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL195-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.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 16:11:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 79.35/79.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 79.35/79.53
% 79.35/79.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 79.35/79.54
%------------------------------------------------------------------------------