%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL214-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:42:13 PM UTC 2026
% Result : Unsatisfiable 2.89s 3.14s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% 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 : 64 ( 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(not(p),q)),q))) ).
cnf(refute_0_0,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_381))
| theorem(or(not(or(A,B)),X_381)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_381))]]) ).
cnf(refute_0_1,plain,
( ~ theorem(or(not(or(B,A)),X_381))
| theorem(or(not(or(A,B)),X_381)) ),
inference(resolve,[$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_5785,X_5784)),or(not(or(not(X_5784),X_5785)),X_5785)))
| theorem(or(not(or(X_5784,X_5785)),or(not(or(not(X_5784),X_5785)),X_5785))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_5784)),bind(B,$fot(X_5785)),bind(X_381,$fot(or(not(or(not(X_5784),X_5785)),X_5785)))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(or(not(X_5780),X_5781)),or(not(or(X_5781,X_5780)),X_5781)))
| theorem(or(not(or(X_5781,X_5780)),or(not(or(not(X_5780),X_5781)),X_5781))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(not(or(not(X_5780),X_5781)))),bind(B,$fot(not(or(X_5781,X_5780)))),bind(C,$fot(X_5781))]]) ).
cnf(refute_0_6,plain,
axiom(or(not(or(not(A),X_5777)),or(not(or(X_5777,A)),or(X_5777,X_5777)))),
inference(subst,[],[axiom_1_6:[bind(B,$fot(X_5777)),bind(C,$fot(X_5777))]]) ).
cnf(refute_0_7,plain,
( ~ axiom(or(not(or(A,A)),A))
| theorem(or(not(or(A,A)),A)) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(A,A)),A)))]]) ).
cnf(refute_0_8,plain,
theorem(or(not(or(A,A)),A)),
inference(resolve,[$cnf( axiom(or(not(or(A,A)),A)) )],[axiom_1_2,refute_0_7]) ).
cnf(refute_0_9,plain,
theorem(or(not(or(X_283,X_283)),X_283)),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_283))]]) ).
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,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(not(or(X_283,X_283)),X_283))
| theorem(or(not(or(X_284,or(X_283,X_283))),or(X_284,X_283))) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(or(X_283,X_283))),bind(B,$fot(X_283)),bind(C,$fot(X_284))]]) ).
cnf(refute_0_13,plain,
theorem(or(not(or(X_284,or(X_283,X_283))),or(X_284,X_283))),
inference(resolve,[$cnf( theorem(or(not(or(X_283,X_283)),X_283)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ axiom(or(not(X_379),or(X_284,or(X_283,X_283))))
| ~ theorem(or(not(or(X_284,or(X_283,X_283))),or(X_284,X_283)))
| theorem(or(not(X_379),or(X_284,X_283))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_379)),bind(Y,$fot(or(X_284,or(X_283,X_283)))),bind(Z,$fot(or(X_284,X_283)))]]) ).
cnf(refute_0_15,plain,
( ~ axiom(or(not(X_379),or(X_284,or(X_283,X_283))))
| theorem(or(not(X_379),or(X_284,X_283))) ),
inference(resolve,[$cnf( theorem(or(not(or(X_284,or(X_283,X_283))),or(X_284,X_283))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ axiom(or(not(or(not(A),X_5777)),or(not(or(X_5777,A)),or(X_5777,X_5777))))
| theorem(or(not(or(not(A),X_5777)),or(not(or(X_5777,A)),X_5777))) ),
inference(subst,[],[refute_0_15:[bind(X_283,$fot(X_5777)),bind(X_284,$fot(not(or(X_5777,A)))),bind(X_379,$fot(or(not(A),X_5777)))]]) ).
cnf(refute_0_17,plain,
theorem(or(not(or(not(A),X_5777)),or(not(or(X_5777,A)),X_5777))),
inference(resolve,[$cnf( axiom(or(not(or(not(A),X_5777)),or(not(or(X_5777,A)),or(X_5777,X_5777)))) )],[refute_0_6,refute_0_16]) ).
cnf(refute_0_18,plain,
theorem(or(not(or(not(X_5780),X_5781)),or(not(or(X_5781,X_5780)),X_5781))),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5780)),bind(X_5777,$fot(X_5781))]]) ).
cnf(refute_0_19,plain,
theorem(or(not(or(X_5781,X_5780)),or(not(or(not(X_5780),X_5781)),X_5781))),
inference(resolve,[$cnf( theorem(or(not(or(not(X_5780),X_5781)),or(not(or(X_5781,X_5780)),X_5781))) )],[refute_0_18,refute_0_5]) ).
cnf(refute_0_20,plain,
theorem(or(not(or(X_5785,X_5784)),or(not(or(not(X_5784),X_5785)),X_5785))),
inference(subst,[],[refute_0_19:[bind(X_5780,$fot(X_5784)),bind(X_5781,$fot(X_5785))]]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(X_5784,X_5785)),or(not(or(not(X_5784),X_5785)),X_5785))),
inference(resolve,[$cnf( theorem(or(not(or(X_5785,X_5784)),or(not(or(not(X_5784),X_5785)),X_5785))) )],[refute_0_20,refute_0_2]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(p,q)),or(not(or(not(p),q)),q))),
inference(subst,[],[refute_0_21:[bind(X_5784,$fot(p)),bind(X_5785,$fot(q))]]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(p,q)),or(not(or(not(p),q)),q))) )],[refute_0_22,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL214-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : metis --show proof --show saturation %s
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 4 22:34:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.89/3.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/3.14
% 2.89/3.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.89/3.14
%------------------------------------------------------------------------------