TSTP Solution File: LCL431-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL431-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : 300s
% DateTime : Wed May 31 12:19:15 EDT 2023
% Result : Unsatisfiable 29.58s 4.35s
% Output : CNFRefutation 29.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1429,axiom,
! [V_A,T_a] : c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2728,axiom,
! [V_p,T_a,V_U,V_t0] :
( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
| c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2752,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2753,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4708,plain,
! [X0,X1] : c_minus(X0,X0,tc_set(X1)) = c_emptyset,
inference(cnf_transformation,[status(esa)],[f1429]) ).
fof(f6095,plain,
! [V_p,T_a] :
( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
| ! [V_U,V_t0] : c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ),
inference(miniscoping,[status(esa)],[f2728]) ).
fof(f6096,plain,
! [X0,X1,X2,X3] :
( ~ c_PropLog_Osat(c_emptyset,X0,X1)
| c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1)) ),
inference(cnf_transformation,[status(esa)],[f6095]) ).
fof(f6127,plain,
c_PropLog_Osat(c_emptyset,v_p,t_a),
inference(cnf_transformation,[status(esa)],[f2752]) ).
fof(f6128,plain,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[status(esa)],[f2753]) ).
fof(f9874,plain,
! [X0,X1] :
( ~ c_PropLog_Osat(c_emptyset,X0,X1)
| c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(X1)) ),
inference(paramodulation,[status(thm)],[f4708,f6096]) ).
fof(f10172,plain,
~ c_PropLog_Osat(c_emptyset,v_p,t_a),
inference(resolution,[status(thm)],[f9874,f6128]) ).
fof(f10173,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10172,f6127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL431-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:44:01 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % Drodi V3.5.1
% 29.58/4.35 % Refutation found
% 29.58/4.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.58/4.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.86/4.43 % Elapsed time: 4.090883 seconds
% 29.86/4.43 % CPU time: 29.809223 seconds
% 29.86/4.43 % Memory used: 500.682 MB
%------------------------------------------------------------------------------