TSTP Solution File: SWV958-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV958-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 21:45:44 EDT 2022
% Result : Unsatisfiable 22.72s 22.92s
% Output : Refutation 22.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 20 RR)
% Number of literals : 37 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-6 aty)
% Number of functors : 30 ( 30 usr; 23 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(174,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v),w))
| ~ c_Progress_OWTrt_H(u,x,y,z,v)
| ~ c_Progress_OWTrt_H(u,x,y,x1,c_Type_Oty_OClass(x2))
| ~ c_TypeRel_Ohas__field(u,x2,x3,w,x4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_Progress_OWTrt_H(u,x,y,c_Expr_Oexp_OFAss(x1,x3,x4,z,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
file('SWV958-1.p',unknown),
[] ).
cnf(343,axiom,
( ~ c_WellTypeRT_OWTrt(u,v,w,x,y)
| c_Progress_OWTrt_H(u,v,w,x,y) ),
file('SWV958-1.p',unknown),
[] ).
cnf(344,axiom,
( ~ c_Progress_OWTrt_H(u,v,w,x,y)
| c_WellTypeRT_OWTrt(u,v,w,x,y) ),
file('SWV958-1.p',unknown),
[] ).
cnf(357,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),w)),
file('SWV958-1.p',unknown),
[] ).
cnf(386,axiom,
equal(v_T____,c_Type_Oty_OVoid),
file('SWV958-1.p',unknown),
[] ).
cnf(387,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_092_060_094isub_0622____),v_TF____)),
file('SWV958-1.p',unknown),
[] ).
cnf(388,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
file('SWV958-1.p',unknown),
[] ).
cnf(389,axiom,
c_TypeRel_Ohas__field(v_P,v_C_H____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('SWV958-1.p',unknown),
[] ).
cnf(390,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
file('SWV958-1.p',unknown),
[] ).
cnf(393,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(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),u) ),
file('SWV958-1.p',unknown),
[] ).
cnf(396,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),c_Type_Oty_OVoid))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),u) ),
inference(rew,[status(thm),theory(equality)],[386,393]),
[iquote('0:Rew:386.0,393.0')] ).
cnf(400,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(res,[status(thm),theory(equality)],[357,396]),
[iquote('0:Res:357.0,396.0')] ).
cnf(1505,plain,
( ~ c_Progress_OWTrt_H(v_P,u,v,w,v_T_092_060_094isub_0622____)
| ~ c_Progress_OWTrt_H(v_P,u,v,x,c_Type_Oty_OClass(y))
| ~ c_TypeRel_Ohas__field(v_P,y,z,v_TF____,x1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_Progress_OWTrt_H(v_P,u,v,c_Expr_Oexp_OFAss(x,z,x1,w,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(res,[status(thm),theory(equality)],[387,174]),
[iquote('0:Res:387.0,174.0')] ).
cnf(4646,plain,
( ~ c_Progress_OWTrt_H(v_P,u,v,w,v_T_092_060_094isub_0622____)
| ~ c_Progress_OWTrt_H(v_P,u,v,x,c_Type_Oty_OClass(v_C_H____))
| c_Progress_OWTrt_H(v_P,u,v,c_Expr_Oexp_OFAss(x,v_F____,v_D____,w,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(res,[status(thm),theory(equality)],[389,1505]),
[iquote('0:Res:389.0,1505.2')] ).
cnf(4708,plain,
( ~ c_Progress_OWTrt_H(v_P,u,v,w,v_T_092_060_094isub_0622____)
| ~ c_Progress_OWTrt_H(v_P,u,v,x,c_Type_Oty_OClass(v_C_H____))
| c_WellTypeRT_OWTrt(v_P,u,v,c_Expr_Oexp_OFAss(x,v_F____,v_D____,w,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(res,[status(thm),theory(equality)],[4646,344]),
[iquote('0:Res:4646.2,344.0')] ).
cnf(4785,plain,
( ~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____)
| ~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
inference(res,[status(thm),theory(equality)],[4708,400]),
[iquote('0:Res:4708.2,400.0')] ).
cnf(4827,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
| ~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____) ),
inference(res,[status(thm),theory(equality)],[343,4785]),
[iquote('0:Res:343.1,4785.1')] ).
cnf(4828,plain,
~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
inference(mrr,[status(thm)],[4827,390]),
[iquote('0:MRR:4827.0,390.0')] ).
cnf(4829,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
inference(res,[status(thm),theory(equality)],[343,4828]),
[iquote('0:Res:343.1,4828.0')] ).
cnf(4830,plain,
$false,
inference(mrr,[status(thm)],[4829,388]),
[iquote('0:MRR:4829.0,388.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV958-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 20:57:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 22.72/22.92
% 22.72/22.92 SPASS V 3.9
% 22.72/22.92 SPASS beiseite: Proof found.
% 22.72/22.92 % SZS status Theorem
% 22.72/22.92 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.72/22.92 SPASS derived 4363 clauses, backtracked 0 clauses, performed 8 splits and kept 3764 clauses.
% 22.72/22.92 SPASS allocated 83192 KBytes.
% 22.72/22.92 SPASS spent 0:0:22.04 on the problem.
% 22.72/22.92 0:00:00.05 for the input.
% 22.72/22.92 0:00:00.00 for the FLOTTER CNF translation.
% 22.72/22.92 0:00:00.21 for inferences.
% 22.72/22.92 0:00:00.08 for the backtracking.
% 22.72/22.92 0:0:21.58 for the reduction.
% 22.72/22.92
% 22.72/22.92
% 22.72/22.92 Here is a proof with depth 6, length 20 :
% 22.72/22.92 % SZS output start Refutation
% See solution above
% 22.72/22.92 Formulae used in the proof : cls_WTrt_H__WTrts_H_Ointros_I10_J_0 cls_wt__wt_H_0 cls_wt_H__wt_0 cls_widen__refl_0 cls_CHAINED_0 cls_CHAINED_0_01 cls_CHAINED_0_02 cls_CHAINED_0_03 cls_CHAINED_0_04 cls_conjecture_0
% 22.72/22.92
%------------------------------------------------------------------------------