TSTP Solution File: SWV966-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV966-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 21:45:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(287,axiom,
( ~ c_WellTypeRT_OWTrts(u,v,w,x,y)
| ~ c_WellTypeRT_OWTrt(u,v,w,z,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(u,v,w,c_Expr_Oexp_OCall(z,x1,x,tc_List_Olist(tc_String_Ochar)),x2) ),
file('SWV966-1.p',unknown),
[] ).
cnf(312,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),w)),
file('SWV966-1.p',unknown),
[] ).
cnf(335,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
file('SWV966-1.p',unknown),
[] ).
cnf(336,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('SWV966-1.p',unknown),
[] ).
cnf(339,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_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),u) ),
file('SWV966-1.p',unknown),
[] ).
cnf(343,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(res,[status(thm),theory(equality)],[312,339]),
[iquote('0:Res:312.0,339.0')] ).
cnf(448,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,u,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(u,v,v_esa____,tc_List_Olist(tc_String_Ochar)),w) ),
inference(res,[status(thm),theory(equality)],[335,287]),
[iquote('0:Res:335.0,287.0')] ).
cnf(450,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(res,[status(thm),theory(equality)],[448,343]),
[iquote('0:Res:448.1,343.0')] ).
cnf(454,plain,
$false,
inference(mrr,[status(thm)],[450,336]),
[iquote('0:MRR:450.0,336.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SWV966-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n010.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 : Wed Jun 15 23:29:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 111 clauses, backtracked 0 clauses, performed 0 splits and kept 278 clauses.
% 0.19/0.49 SPASS allocated 63752 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.05 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 2, length 9 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : cls_WTrtCallNT_0 cls_widen__refl_0 cls_CHAINED_0 cls_CHAINED_0_01 cls_conjecture_0
% 0.19/0.49
%------------------------------------------------------------------------------