TSTP Solution File: ITP006+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ITP006+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 : Sun Jul 17 00:37:31 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(45,axiom,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(skc9,skc5),skc8),s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc6)))),
file('ITP006+1.p',unknown),
[] ).
cnf(55,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(skc9,skc5),skc8),s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc7)))),
file('ITP006+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc7),s(skc5,u))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc6),s(skc5,u)))) ),
file('ITP006+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(u,v),w),s(tyop_2Emin_2Efun(v,tyop_2Emin_2Ebool),x))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(v,tyop_2Emin_2Ebool),x),s(v,app_2E2(s(tyop_2Emin_2Efun(u,v),w),s(u,y)))))) ),
file('ITP006+1.p',unknown),
[] ).
cnf(123,axiom,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(u,v),w),s(tyop_2Emin_2Efun(v,tyop_2Emin_2Ebool),x))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(v,tyop_2Emin_2Ebool),x),s(v,app_2E2(s(tyop_2Emin_2Efun(u,v),w),s(u,skf21(w,u,x,v))))))) ),
file('ITP006+1.p',unknown),
[] ).
cnf(196,plain,
~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc6),s(skc5,app_2E2(s(tyop_2Emin_2Efun(skc9,skc5),skc8),s(skc9,u)))))),
inference(res,[status(thm),theory(equality)],[45,122]),
[iquote('0:Res:45.0,122.0')] ).
cnf(256,plain,
p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc7),s(skc5,app_2E2(s(tyop_2Emin_2Efun(skc9,skc5),skc8),s(skc9,skf21(skc8,skc9,skc7,skc5))))))),
inference(res,[status(thm),theory(equality)],[123,55]),
[iquote('0:Res:123.1,55.0')] ).
cnf(275,plain,
~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(skc5,tyop_2Emin_2Ebool),skc7),s(skc5,app_2E2(s(tyop_2Emin_2Efun(skc9,skc5),skc8),s(skc9,u)))))),
inference(res,[status(thm),theory(equality)],[101,196]),
[iquote('0:Res:101.1,196.0')] ).
cnf(276,plain,
$false,
inference(unc,[status(thm)],[275,256]),
[iquote('0:UnC:275.0,256.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP006+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 : Fri Jun 3 18:06:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53
% 0.19/0.53 SPASS V 3.9
% 0.19/0.53 SPASS beiseite: Proof found.
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 SPASS derived 102 clauses, backtracked 0 clauses, performed 0 splits and kept 220 clauses.
% 0.19/0.53 SPASS allocated 98913 KBytes.
% 0.19/0.53 SPASS spent 0:00:00.18 on the problem.
% 0.19/0.53 0:00:00.04 for the input.
% 0.19/0.53 0:00:00.08 for the FLOTTER CNF translation.
% 0.19/0.53 0:00:00.00 for inferences.
% 0.19/0.53 0:00:00.00 for the backtracking.
% 0.19/0.53 0:00:00.02 for the reduction.
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 Here is a proof with depth 2, length 9 :
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 Formulae used in the proof : thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT thm_2EquantHeuristics_2EGUESS__REWRITES
% 0.19/0.53
%------------------------------------------------------------------------------