%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL122-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 00:36:33 EDT 2022
% Result : Unsatisfiable 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Pair(v_x,V_U,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ).
cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ).
cnf(refute_0_0,plain,
c_in(c_Pair(v_xaa,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(subst,[],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(v_xaa)),bind(V_r,$fot(v_r))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(subst,[],[cls_conjecture_1:[bind(V_U,$fot(v_xaa))]]) ).
cnf(refute_0_2,plain,
~ c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolve,[$cnf( c_in(c_Pair(v_xaa,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a)) )],[cls_conjecture_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL122-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue May 31 06:19:12 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33
% 0.12/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.33
%------------------------------------------------------------------------------