%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : Fri Jul 15 01:32:29 EDT 2022
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 7 unt; 1 nHn; 15 RR)
% Number of literals : 27 ( 13 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) != v_F
| ~ c_UNITY_Oall__total(v_F,t_a) ) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) = v_F ) ).
cnf(cls_UNITY_Oall__total__imp__totalize_0,axiom,
( ~ c_UNITY_Oall__total(V_F,T_a)
| c_UNITY_Ototalize(V_F,T_a) = V_F ) ).
cnf(cls_UNITY_Oall__total__totalize_0,axiom,
c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a) ).
cnf(refute_0_0,plain,
c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a),
inference(subst,[],[cls_UNITY_Oall__total__totalize_0:[bind(T_a,$fot(t_a)),bind(V_F,$fot(v_F))]]) ).
cnf(refute_0_1,plain,
( c_UNITY_Ototalize(v_F,t_a) != v_F
| ~ c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a)
| c_UNITY_Oall__total(v_F,t_a) ),
introduced(tautology,[equality,[$cnf( c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a) ),[0],$fot(v_F)]]) ).
cnf(refute_0_2,plain,
( ~ c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a)
| c_UNITY_Oall__total(v_F,t_a) ),
inference(resolve,[$cnf( $equal(c_UNITY_Ototalize(v_F,t_a),v_F) )],[cls_conjecture_1,refute_0_1]) ).
cnf(refute_0_3,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(resolve,[$cnf( c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(subst,[],[cls_UNITY_Oall__total__imp__totalize_0:[bind(T_a,$fot(t_a)),bind(V_F,$fot(v_F))]]) ).
cnf(refute_0_5,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(resolve,[$cnf( c_UNITY_Oall__total(v_F,t_a) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( c_UNITY_Ototalize(v_F,t_a) != v_F
| v_F != v_F
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_UNITY_Ototalize(v_F,t_a),v_F) ),[0],$fot(v_F)]]) ).
cnf(refute_0_7,plain,
( v_F != v_F
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(resolve,[$cnf( $equal(c_UNITY_Ototalize(v_F,t_a),v_F) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( v_F != v_F
| ~ c_UNITY_Oall__total(v_F,t_a) ),
inference(resolve,[$cnf( $equal(c_UNITY_Ototalize(v_F,t_a),v_F) )],[refute_0_7,cls_conjecture_0]) ).
cnf(refute_0_9,plain,
v_F = v_F,
introduced(tautology,[refl,[$fot(v_F)]]) ).
cnf(refute_0_10,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(resolve,[$cnf( $equal(v_F,v_F) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( c_UNITY_Oall__total(v_F,t_a) )],[refute_0_3,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 17:24:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36
% 0.14/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36
%------------------------------------------------------------------------------