%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL185-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n002.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 12:42:06 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.54s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 24 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 28 ( 4 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(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
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(p),or(p,q))) ).
cnf(refute_0_0,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,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).
cnf(refute_0_1,plain,
axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_2,plain,
theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
theorem(or(not(or(X_1146,X_1147)),or(X_1147,X_1146))),
inference(subst,[],[refute_0_2:[bind(X_7,$fot(X_1146)),bind(X_8,$fot(X_1147))]]) ).
cnf(refute_0_4,plain,
axiom(or(not(X_434),or(B,X_434))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_434))]]) ).
cnf(refute_0_5,plain,
( ~ axiom(or(not(X_434),or(B,X_434)))
| ~ theorem(or(not(or(B,X_434)),X_436))
| theorem(or(not(X_434),X_436)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_434)),bind(Y,$fot(or(B,X_434))),bind(Z,$fot(X_436))]]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(B,X_434)),X_436))
| theorem(or(not(X_434),X_436)) ),
inference(resolve,[$cnf( axiom(or(not(X_434),or(B,X_434))) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ theorem(or(not(or(X_1146,X_1147)),or(X_1147,X_1146)))
| theorem(or(not(X_1147),or(X_1147,X_1146))) ),
inference(subst,[],[refute_0_6:[bind(B,$fot(X_1146)),bind(X_434,$fot(X_1147)),bind(X_436,$fot(or(X_1147,X_1146)))]]) ).
cnf(refute_0_8,plain,
theorem(or(not(X_1147),or(X_1147,X_1146))),
inference(resolve,[$cnf( theorem(or(not(or(X_1146,X_1147)),or(X_1147,X_1146))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
theorem(or(not(p),or(p,q))),
inference(subst,[],[refute_0_8:[bind(X_1146,$fot(q)),bind(X_1147,$fot(p))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(p),or(p,q))) )],[refute_0_9,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL185-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 01:00:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.23/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.54
% 0.23/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.23/0.54
%------------------------------------------------------------------------------