%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM129+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 : Fri Jul 15 01:44:41 EDT 2022
% Result : Theorem 0.45s 0.68s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(17,axiom,
~ visFreeVar(vgensym(u),u),
file('COM129+1.p',unknown),
[] ).
cnf(44,axiom,
visFreeVar(vgensym(vapp(vapp(skc5,skc3),vvar(skc4))),skc3),
file('COM129+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ visFreeVar(u,v)
| visFreeVar(u,vapp(v,w)) ),
file('COM129+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ visFreeVar(u,v)
| visFreeVar(u,vapp(w,v)) ),
file('COM129+1.p',unknown),
[] ).
cnf(144,plain,
visFreeVar(vgensym(vapp(vapp(skc5,skc3),vvar(skc4))),vapp(u,skc3)),
inference(res,[status(thm),theory(equality)],[44,49]),
[iquote('0:Res:44.0,49.0')] ).
cnf(285,plain,
~ visFreeVar(vgensym(vapp(u,v)),u),
inference(res,[status(thm),theory(equality)],[48,17]),
[iquote('0:Res:48.1,17.0')] ).
cnf(287,plain,
$false,
inference(unc,[status(thm)],[285,144]),
[iquote('0:UnC:285.0,144.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM129+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 17:50:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.68
% 0.45/0.68 SPASS V 3.9
% 0.45/0.68 SPASS beiseite: Proof found.
% 0.45/0.68 % SZS status Theorem
% 0.45/0.68 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.68 SPASS derived 122 clauses, backtracked 0 clauses, performed 0 splits and kept 172 clauses.
% 0.45/0.68 SPASS allocated 99766 KBytes.
% 0.45/0.68 SPASS spent 0:00:00.33 on the problem.
% 0.45/0.68 0:00:00.04 for the input.
% 0.45/0.68 0:00:00.25 for the FLOTTER CNF translation.
% 0.45/0.68 0:00:00.00 for inferences.
% 0.45/0.68 0:00:00.00 for the backtracking.
% 0.45/0.68 0:00:00.01 for the reduction.
% 0.45/0.68
% 0.45/0.68
% 0.45/0.68 Here is a proof with depth 1, length 7 :
% 0.45/0.68 % SZS output start Refutation
% See solution above
% 0.45/0.68 Formulae used in the proof : gensym_a45_is_a45_fresh fresh_a45_free_a45_2 isFreeVar2
% 0.45/0.68
%------------------------------------------------------------------------------