%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV897-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 21:45:31 EDT 2022
% Result : Unsatisfiable 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(431,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,u))),v),w))
| hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,u)),v),w)) ),
file('SWV897-1.p',unknown),
[] ).
cnf(492,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
file('SWV897-1.p',unknown),
[] ).
cnf(493,axiom,
~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
file('SWV897-1.p',unknown),
[] ).
cnf(540,plain,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
inference(res,[status(thm),theory(equality)],[492,431]),
[iquote('0:Res:492.0,431.0')] ).
cnf(552,plain,
$false,
inference(mrr,[status(thm)],[540,493]),
[iquote('0:MRR:540.0,493.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV897-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 12:20:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.37/0.55
% 0.37/0.55 SPASS V 3.9
% 0.37/0.55 SPASS beiseite: Proof found.
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.55 SPASS derived 24 clauses, backtracked 0 clauses, performed 0 splits and kept 391 clauses.
% 0.37/0.55 SPASS allocated 76646 KBytes.
% 0.37/0.55 SPASS spent 0:00:00.18 on the problem.
% 0.37/0.55 0:00:00.05 for the input.
% 0.37/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.37/0.55 0:00:00.00 for inferences.
% 0.37/0.55 0:00:00.00 for the backtracking.
% 0.37/0.55 0:00:00.08 for the reduction.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Here is a proof with depth 1, length 5 :
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 Formulae used in the proof : cls_evalc_OBody_0 cls_conjecture_1 cls_conjecture_2
% 0.37/0.55
%------------------------------------------------------------------------------