%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV892-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 : Wed Jul 20 21:45:31 EDT 2022
% Result : Unsatisfiable 0.53s 0.71s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(634,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(u),v),c_Map_Odom(w,u,x)))
| equal(c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v,w,u,x),x),hAPP(w,v)) ),
file('SWV892-1.p',unknown),
[] ).
cnf(639,axiom,
equal(c_Option_Othe(c_Option_Ooption_OSome(u,v),v),u),
file('SWV892-1.p',unknown),
[] ).
cnf(662,axiom,
( ~ equal(hAPP(c_Com_Obody,u),c_Option_Ooption_OSome(v,tc_Com_Ocom))
| ~ c_Com_OWT__bodies
| c_Com_OWT(v) ),
file('SWV892-1.p',unknown),
[] ).
cnf(701,axiom,
c_Com_OWT__bodies,
file('SWV892-1.p',unknown),
[] ).
cnf(703,axiom,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file('SWV892-1.p',unknown),
[] ).
cnf(704,axiom,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file('SWV892-1.p',unknown),
[] ).
cnf(707,plain,
( ~ equal(hAPP(c_Com_Obody,u),c_Option_Ooption_OSome(v,tc_Com_Ocom))
| c_Com_OWT(v) ),
inference(mrr,[status(thm)],[662,701]),
[iquote('0:MRR:662.1,701.0')] ).
cnf(992,plain,
equal(c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),
inference(res,[status(thm),theory(equality)],[703,634]),
[iquote('0:Res:703.0,634.0')] ).
cnf(1154,plain,
equal(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(spr,[status(thm),theory(equality)],[992,639]),
[iquote('0:SpR:992.0,639.0')] ).
cnf(1157,plain,
( ~ equal(hAPP(c_Com_Obody,u),hAPP(c_Com_Obody,v_pn))
| c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom)) ),
inference(spl,[status(thm),theory(equality)],[992,707]),
[iquote('0:SpL:992.0,707.0')] ).
cnf(1159,plain,
( ~ equal(hAPP(c_Com_Obody,u),hAPP(c_Com_Obody,v_pn))
| c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)) ),
inference(rew,[status(thm),theory(equality)],[1154,1157]),
[iquote('0:Rew:1154.0,1157.1')] ).
cnf(1160,plain,
~ equal(hAPP(c_Com_Obody,u),hAPP(c_Com_Obody,v_pn)),
inference(mrr,[status(thm)],[1159,704]),
[iquote('0:MRR:1159.1,704.0')] ).
cnf(1161,plain,
$false,
inference(eqr,[status(thm),theory(equality)],[1160]),
[iquote('0:EqR:1160.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV892-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n013.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 : Tue Jun 14 16:49:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.53/0.71
% 0.53/0.71 SPASS V 3.9
% 0.53/0.71 SPASS beiseite: Proof found.
% 0.53/0.71 % SZS status Theorem
% 0.53/0.71 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.71 SPASS derived 235 clauses, backtracked 0 clauses, performed 0 splits and kept 707 clauses.
% 0.53/0.71 SPASS allocated 77467 KBytes.
% 0.53/0.71 SPASS spent 0:00:00.33 on the problem.
% 0.53/0.71 0:00:00.06 for the input.
% 0.53/0.71 0:00:00.00 for the FLOTTER CNF translation.
% 0.53/0.71 0:00:00.00 for inferences.
% 0.53/0.71 0:00:00.00 for the backtracking.
% 0.53/0.71 0:00:00.13 for the reduction.
% 0.53/0.71
% 0.53/0.71
% 0.53/0.71 Here is a proof with depth 3, length 13 :
% 0.53/0.71 % SZS output start Refutation
% See solution above
% 0.53/0.71 Formulae used in the proof : cls_domD_0 cls_the_Osimps_0 cls_WT__bodiesD_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_4
% 0.53/0.71
%------------------------------------------------------------------------------