TSTP Solution File: SWV951-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV951-1 : 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 21:45:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(83,axiom,
( ~ c_Progress_OWTrt_H(u,v,w,x,c_Type_Oty_ONT)
| c_Progress_OWTrt_H(u,v,w,c_Expr_Oexp_OFAcc(x,y,z,tc_List_Olist(tc_String_Ochar)),x1) ),
file('SWV951-1.p',unknown),
[] ).
cnf(332,axiom,
( ~ c_WellTypeRT_OWTrt(u,v,w,x,y)
| c_Progress_OWTrt_H(u,v,w,x,y) ),
file('SWV951-1.p',unknown),
[] ).
cnf(333,axiom,
( ~ c_Progress_OWTrt_H(u,v,w,x,y)
| c_WellTypeRT_OWTrt(u,v,w,x,y) ),
file('SWV951-1.p',unknown),
[] ).
cnf(343,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),w)),
file('SWV951-1.p',unknown),
[] ).
cnf(364,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('SWV951-1.p',unknown),
[] ).
cnf(367,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_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),u) ),
file('SWV951-1.p',unknown),
[] ).
cnf(371,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(res,[status(thm),theory(equality)],[343,367]),
[iquote('0:Res:343.0,367.0')] ).
cnf(397,plain,
c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(res,[status(thm),theory(equality)],[364,332]),
[iquote('0:Res:364.0,332.0')] ).
cnf(400,plain,
~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(res,[status(thm),theory(equality)],[333,371]),
[iquote('0:Res:333.1,371.0')] ).
cnf(431,plain,
~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(res,[status(thm),theory(equality)],[83,400]),
[iquote('0:Res:83.1,400.0')] ).
cnf(432,plain,
$false,
inference(mrr,[status(thm)],[431,397]),
[iquote('0:MRR:431.0,397.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV951-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 15:18:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 61 clauses, backtracked 0 clauses, performed 0 splits and kept 265 clauses.
% 0.20/0.49 SPASS allocated 63847 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.20/0.49 0:00:00.05 for the input.
% 0.20/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.04 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 3, length 11 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : cls_WTrt_H__WTrts_H_Ointros_I9_J_0 cls_wt__wt_H_0 cls_wt_H__wt_0 cls_widen__refl_0 cls_CHAINED_0 cls_conjecture_0
% 0.20/0.49
%------------------------------------------------------------------------------