TSTP Solution File: SWV962-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV962-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 21:45:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 10 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(390,axiom,
( ~ c_WellTypeRT_OWTrt(u,v,w,c_Expr_Oexp_OFAss(x,y,z,x1,tc_List_Olist(tc_String_Ochar)),x2)
| equal(x2,c_Type_Oty_OVoid)
| equal(x2,c_Type_Oty_OVoid) ),
file('SWV962-1.p',unknown),
[] ).
cnf(394,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('SWV962-1.p',unknown),
[] ).
cnf(402,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),w)),
file('SWV962-1.p',unknown),
[] ).
cnf(404,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
file('SWV962-1.p',unknown),
[] ).
cnf(407,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),u),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),u) ),
file('SWV962-1.p',unknown),
[] ).
cnf(408,plain,
( ~ c_WellTypeRT_OWTrt(u,v,w,c_Expr_Oexp_OFAss(x,y,z,x1,tc_List_Olist(tc_String_Ochar)),x2)
| equal(x2,c_Type_Oty_OVoid) ),
inference(obv,[status(thm),theory(equality)],[390]),
[iquote('0:Obv:390.1')] ).
cnf(413,plain,
~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_Type_Oty_OVoid),v_T____)),
inference(res,[status(thm),theory(equality)],[404,407]),
[iquote('0:Res:404.0,407.1')] ).
cnf(456,plain,
equal(v_T____,c_Type_Oty_OVoid),
inference(res,[status(thm),theory(equality)],[394,408]),
[iquote('0:Res:394.0,408.0')] ).
cnf(459,plain,
~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_Type_Oty_OVoid),c_Type_Oty_OVoid)),
inference(rew,[status(thm),theory(equality)],[456,413]),
[iquote('0:Rew:456.0,413.0')] ).
cnf(463,plain,
$false,
inference(mrr,[status(thm)],[459,402]),
[iquote('0:MRR:459.0,402.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV962-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n005.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 : Wed Jun 15 07:48:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52
% 0.20/0.52 SPASS V 3.9
% 0.20/0.52 SPASS beiseite: Proof found.
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 SPASS derived 51 clauses, backtracked 0 clauses, performed 0 splits and kept 298 clauses.
% 0.20/0.52 SPASS allocated 63925 KBytes.
% 0.20/0.52 SPASS spent 0:00:00.15 on the problem.
% 0.20/0.52 0:00:00.05 for the input.
% 0.20/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.52 0:00:00.01 for inferences.
% 0.20/0.52 0:00:00.00 for the backtracking.
% 0.20/0.52 0:00:00.05 for the reduction.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Here is a proof with depth 1, length 10 :
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 Formulae used in the proof : cls_WTrt__elim__cases_I8_J_0 cls_wt_0 cls_widen__refl_0 cls_CHAINED_0 cls_conjecture_0
% 0.20/0.52
%------------------------------------------------------------------------------