TSTP Solution File: LCL216-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL216-1 : 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 12:50:43 EDT 2022
% Result : Unsatisfiable 20.30s 20.52s
% Output : CNFRefutation 20.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 32 ( 16 unt; 0 nHn; 17 RR)
% Number of literals : 54 ( 0 equ; 23 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 : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(or(not(or(A,A)),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(p,q)),or(not(or(p,not(q))),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,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(X_45141,not(X_45140))),or(not(or(X_45141,X_45140)),X_45141)))
| theorem(or(not(or(X_45141,X_45140)),or(not(or(X_45141,not(X_45140))),X_45141))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_45141,not(X_45140))))),bind(B,$fot(not(or(X_45141,X_45140)))),bind(C,$fot(X_45141))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_137))
| theorem(or(not(or(A,B)),X_137)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_137))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(not(or(B,A)),X_137))
| theorem(or(not(or(A,B)),X_137)) ),
inference(resolve,[$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(not(X_44877),X_44878)),or(not(or(X_44878,X_44877)),X_44878)))
| theorem(or(not(or(X_44878,not(X_44877))),or(not(or(X_44878,X_44877)),X_44878))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_44878)),bind(B,$fot(not(X_44877))),bind(X_137,$fot(or(not(or(X_44878,X_44877)),X_44878)))]]) ).
cnf(refute_0_6,plain,
( ~ axiom(or(not(or(A,A)),A))
| theorem(or(not(or(A,A)),A)) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(A,A)),A)))]]) ).
cnf(refute_0_7,plain,
theorem(or(not(or(A,A)),A)),
inference(resolve,[$cnf( axiom(or(not(or(A,A)),A)) )],[axiom_1_2,refute_0_6]) ).
cnf(refute_0_8,plain,
theorem(or(not(or(X_933,X_933)),X_933)),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_933))]]) ).
cnf(refute_0_9,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_10,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ theorem(or(not(or(X_933,X_933)),X_933))
| theorem(or(not(or(X_934,or(X_933,X_933))),or(X_934,X_933))) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(or(X_933,X_933))),bind(B,$fot(X_933)),bind(C,$fot(X_934))]]) ).
cnf(refute_0_12,plain,
theorem(or(not(or(X_934,or(X_933,X_933))),or(X_934,X_933))),
inference(resolve,[$cnf( theorem(or(not(or(X_933,X_933)),X_933)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
theorem(or(not(or(not(or(X_44860,X_44859)),or(X_44860,X_44860))),or(not(or(X_44860,X_44859)),X_44860))),
inference(subst,[],[refute_0_12:[bind(X_933,$fot(X_44860)),bind(X_934,$fot(not(or(X_44860,X_44859))))]]) ).
cnf(refute_0_14,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_137))
| theorem(or(not(or(not(A),B)),X_137)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(not(A),B))),bind(Y,$fot(or(not(or(C,A)),or(C,B)))),bind(Z,$fot(X_137))]]) ).
cnf(refute_0_15,plain,
( ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_137))
| theorem(or(not(or(not(A),B)),X_137)) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ theorem(or(not(or(not(or(X_44860,X_44859)),or(X_44860,X_44860))),or(not(or(X_44860,X_44859)),X_44860)))
| theorem(or(not(or(not(X_44859),X_44860)),or(not(or(X_44860,X_44859)),X_44860))) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_44859)),bind(B,$fot(X_44860)),bind(C,$fot(X_44860)),bind(X_137,$fot(or(not(or(X_44860,X_44859)),X_44860)))]]) ).
cnf(refute_0_17,plain,
theorem(or(not(or(not(X_44859),X_44860)),or(not(or(X_44860,X_44859)),X_44860))),
inference(resolve,[$cnf( theorem(or(not(or(not(or(X_44860,X_44859)),or(X_44860,X_44860))),or(not(or(X_44860,X_44859)),X_44860))) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
theorem(or(not(or(not(X_44877),X_44878)),or(not(or(X_44878,X_44877)),X_44878))),
inference(subst,[],[refute_0_17:[bind(X_44859,$fot(X_44877)),bind(X_44860,$fot(X_44878))]]) ).
cnf(refute_0_19,plain,
theorem(or(not(or(X_44878,not(X_44877))),or(not(or(X_44878,X_44877)),X_44878))),
inference(resolve,[$cnf( theorem(or(not(or(not(X_44877),X_44878)),or(not(or(X_44878,X_44877)),X_44878))) )],[refute_0_18,refute_0_5]) ).
cnf(refute_0_20,plain,
theorem(or(not(or(X_45141,not(X_45140))),or(not(or(X_45141,X_45140)),X_45141))),
inference(subst,[],[refute_0_19:[bind(X_44877,$fot(X_45140)),bind(X_44878,$fot(X_45141))]]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(X_45141,X_45140)),or(not(or(X_45141,not(X_45140))),X_45141))),
inference(resolve,[$cnf( theorem(or(not(or(X_45141,not(X_45140))),or(not(or(X_45141,X_45140)),X_45141))) )],[refute_0_20,refute_0_2]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(p,q)),or(not(or(p,not(q))),p))),
inference(subst,[],[refute_0_21:[bind(X_45140,$fot(q)),bind(X_45141,$fot(p))]]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(p,q)),or(not(or(p,not(q))),p))) )],[refute_0_22,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL216-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 23:53:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 20.30/20.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.30/20.52
% 20.30/20.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.30/20.52
%------------------------------------------------------------------------------