TSTP Solution File: SWV955-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV955-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 0.15s 0.43s
% Output : Refutation 0.15s
% 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 : 16 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 26 ( 26 usr; 20 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(308,axiom,
( ~ c_WellTypeRT_OWTrt(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_OFAss(z,x1,x2,x,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
file('SWV955-1.p',unknown),
[] ).
cnf(351,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),w)),
file('SWV955-1.p',unknown),
[] ).
cnf(379,axiom,
equal(v_T____,c_Type_Oty_OVoid),
file('SWV955-1.p',unknown),
[] ).
cnf(380,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
file('SWV955-1.p',unknown),
[] ).
cnf(381,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('SWV955-1.p',unknown),
[] ).
cnf(384,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('SWV955-1.p',unknown),
[] ).
cnf(387,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)],[379,384]),
[iquote('0:Rew:379.0,384.0')] ).
cnf(391,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)],[351,387]),
[iquote('0:Res:351.0,387.0')] ).
cnf(515,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_OFAss(u,v,w,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(res,[status(thm),theory(equality)],[380,308]),
[iquote('0:Res:380.0,308.0')] ).
cnf(530,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(res,[status(thm),theory(equality)],[515,391]),
[iquote('0:Res:515.1,391.0')] ).
cnf(537,plain,
$false,
inference(mrr,[status(thm)],[530,381]),
[iquote('0:MRR:530.0,381.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV955-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.10 % Command : run_spass %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 16 01:48:59 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.15/0.43
% 0.15/0.43 SPASS V 3.9
% 0.15/0.43 SPASS beiseite: Proof found.
% 0.15/0.43 % SZS status Theorem
% 0.15/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 SPASS derived 146 clauses, backtracked 0 clauses, performed 0 splits and kept 340 clauses.
% 0.15/0.43 SPASS allocated 63960 KBytes.
% 0.15/0.43 SPASS spent 0:00:00.12 on the problem.
% 0.15/0.43 0:00:00.04 for the input.
% 0.15/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.43 0:00:00.01 for inferences.
% 0.15/0.43 0:00:00.00 for the backtracking.
% 0.15/0.43 0:00:00.04 for the reduction.
% 0.15/0.43
% 0.15/0.43
% 0.15/0.43 Here is a proof with depth 2, length 11 :
% 0.15/0.43 % SZS output start Refutation
% See solution above
% 0.15/0.43 Formulae used in the proof : cls_WTrtFAssNT_0 cls_widen__refl_0 cls_CHAINED_0 cls_CHAINED_0_01 cls_CHAINED_0_02 cls_conjecture_0
% 0.15/0.43
%------------------------------------------------------------------------------