%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : Fri Jul 15 01:44:41 EDT 2022
% Result : Theorem 0.48s 0.70s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 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('COM128+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ equal(u,v)
| visFreeVar(v,vvar(u)) ),
file('COM128+1.p',unknown),
[] ).
cnf(41,axiom,
equal(vgensym(vapp(vapp(skc5,skc4),vvar(skc3))),skc3),
file('COM128+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ visFreeVar(u,v)
| visFreeVar(u,vapp(w,v)) ),
file('COM128+1.p',unknown),
[] ).
cnf(163,plain,
visFreeVar(vgensym(vapp(vapp(skc5,skc4),vvar(skc3))),vvar(skc3)),
inference(res,[status(thm),theory(equality)],[41,34]),
[iquote('0:Res:41.0,34.0')] ).
cnf(170,plain,
visFreeVar(skc3,vvar(skc3)),
inference(rew,[status(thm),theory(equality)],[41,163]),
[iquote('0:Rew:41.0,163.0')] ).
cnf(219,plain,
~ visFreeVar(skc3,vapp(vapp(skc5,skc4),vvar(skc3))),
inference(spl,[status(thm),theory(equality)],[41,17]),
[iquote('0:SpL:41.0,17.0')] ).
cnf(314,plain,
~ visFreeVar(skc3,vvar(skc3)),
inference(res,[status(thm),theory(equality)],[46,219]),
[iquote('0:Res:46.1,219.0')] ).
cnf(317,plain,
$false,
inference(mrr,[status(thm)],[314,170]),
[iquote('0:MRR:314.0,170.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.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 : Thu Jun 16 17:28:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.48/0.70
% 0.48/0.70 SPASS V 3.9
% 0.48/0.70 SPASS beiseite: Proof found.
% 0.48/0.70 % SZS status Theorem
% 0.48/0.70 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.70 SPASS derived 123 clauses, backtracked 0 clauses, performed 0 splits and kept 168 clauses.
% 0.48/0.70 SPASS allocated 100149 KBytes.
% 0.48/0.70 SPASS spent 0:00:00.34 on the problem.
% 0.48/0.70 0:00:00.04 for the input.
% 0.48/0.70 0:00:00.27 for the FLOTTER CNF translation.
% 0.48/0.70 0:00:00.00 for inferences.
% 0.48/0.70 0:00:00.00 for the backtracking.
% 0.48/0.70 0:00:00.01 for the reduction.
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 Here is a proof with depth 2, length 9 :
% 0.48/0.70 % SZS output start Refutation
% See solution above
% 0.48/0.70 Formulae used in the proof : gensym_a45_is_a45_fresh isFreeVar0 fresh_a45_unequal_a45_var_a45_3 isFreeVar2
% 0.48/0.70
%------------------------------------------------------------------------------