TSTP Solution File: SWV949-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV949-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 21:45:42 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 17 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 17 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('SWV949-1.p',unknown),
[] ).
cnf(334,axiom,
( ~ c_WellTypeRT_OWTrt(u,v,w,x,y)
| c_Progress_OWTrt_H(u,v,w,x,y) ),
file('SWV949-1.p',unknown),
[] ).
cnf(335,axiom,
( ~ c_Progress_OWTrt_H(u,v,w,x,y)
| c_WellTypeRT_OWTrt(u,v,w,x,y) ),
file('SWV949-1.p',unknown),
[] ).
cnf(345,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),w)),
file('SWV949-1.p',unknown),
[] ).
cnf(366,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
file('SWV949-1.p',unknown),
[] ).
cnf(367,axiom,
equal(v_U____,c_Type_Oty_ONT),
file('SWV949-1.p',unknown),
[] ).
cnf(370,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('SWV949-1.p',unknown),
[] ).
cnf(371,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(rew,[status(thm),theory(equality)],[367,366]),
[iquote('0:Rew:367.0,366.0')] ).
cnf(377,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)],[345,370]),
[iquote('0:Res:345.0,370.0')] ).
cnf(404,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)],[371,334]),
[iquote('0:Res:371.0,334.0')] ).
cnf(408,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)],[335,377]),
[iquote('0:Res:335.1,377.0')] ).
cnf(439,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)],[83,408]),
[iquote('0:Res:83.1,408.0')] ).
cnf(440,plain,
$false,
inference(mrr,[status(thm)],[439,404]),
[iquote('0:MRR:439.0,404.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV949-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 15:43:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.50
% 0.21/0.50 SPASS V 3.9
% 0.21/0.50 SPASS beiseite: Proof found.
% 0.21/0.50 % SZS status Theorem
% 0.21/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 SPASS derived 63 clauses, backtracked 0 clauses, performed 0 splits and kept 267 clauses.
% 0.21/0.50 SPASS allocated 63850 KBytes.
% 0.21/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.21/0.50 0:00:00.05 for the input.
% 0.21/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.50 0:00:00.00 for inferences.
% 0.21/0.50 0:00:00.00 for the backtracking.
% 0.21/0.50 0:00:00.04 for the reduction.
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 Here is a proof with depth 3, length 13 :
% 0.21/0.50 % SZS output start Refutation
% See solution above
% 0.21/0.50 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_CHAINED_0_01 cls_conjecture_0
% 0.21/0.50
%------------------------------------------------------------------------------