TSTP Solution File: SWV939-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV939-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 21:45:41 EDT 2022
% Result : Unsatisfiable 0.73s 0.90s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 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; 17 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(659,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
file('SWV939-1.p',unknown),
[] ).
cnf(660,axiom,
equal(v_T_H____,v_T____),
file('SWV939-1.p',unknown),
[] ).
cnf(661,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)))),v_T_H_H____),v_T____)),
file('SWV939-1.p',unknown),
[] ).
cnf(666,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_H____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),u) ),
file('SWV939-1.p',unknown),
[] ).
cnf(691,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)))),u),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),u) ),
inference(rew,[status(thm),theory(equality)],[660,666]),
[iquote('0:Rew:660.0,666.0')] ).
cnf(694,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)))),v_T_H_H____),v_T____)),
inference(res,[status(thm),theory(equality)],[659,691]),
[iquote('0:Res:659.0,691.1')] ).
cnf(695,plain,
$false,
inference(mrr,[status(thm)],[694,661]),
[iquote('0:MRR:694.0,661.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV939-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 22:13:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/0.90
% 0.73/0.90 SPASS V 3.9
% 0.73/0.90 SPASS beiseite: Proof found.
% 0.73/0.90 % SZS status Theorem
% 0.73/0.90 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.90 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 521 clauses.
% 0.73/0.90 SPASS allocated 77338 KBytes.
% 0.73/0.90 SPASS spent 0:00:00.55 on the problem.
% 0.73/0.90 0:00:00.06 for the input.
% 0.73/0.90 0:00:00.00 for the FLOTTER CNF translation.
% 0.73/0.90 0:00:00.00 for inferences.
% 0.73/0.90 0:00:00.00 for the backtracking.
% 0.73/0.90 0:00:00.41 for the reduction.
% 0.73/0.90
% 0.73/0.90
% 0.73/0.90 Here is a proof with depth 1, length 7 :
% 0.73/0.90 % SZS output start Refutation
% See solution above
% 0.73/0.90 Formulae used in the proof : cls_CHAINED_0 cls_CHAINED_0_01 cls_CHAINED_0_02 cls_conjecture_0
% 0.73/0.90
%------------------------------------------------------------------------------