%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM130+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 2 nHn; 10 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(52,axiom,
vtcheck(vbind(skc9,skc13,skc7),vabs(skc9,skc10,skc11),skc12),
file('COM130+1.p',unknown),
[] ).
cnf(56,axiom,
~ vtcheck(skc7,vsubst(skc9,skc8,vabs(skc9,skc10,skc11)),skc12),
file('COM130+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ equal(u,v)
| ~ visFreeVar(v,vabs(u,w,x)) ),
file('COM130+1.p',unknown),
[] ).
cnf(68,axiom,
equal(vsubst(u,v,vabs(u,w,x)),vabs(u,w,x)),
file('COM130+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ vtcheck(vbind(u,v,w),x,y)
| visFreeVar(u,x)
| vtcheck(w,x,y) ),
file('COM130+1.p',unknown),
[] ).
cnf(131,plain,
~ vtcheck(skc7,vabs(skc9,skc10,skc11),skc12),
inference(rew,[status(thm),theory(equality)],[68,56]),
[iquote('0:Rew:68.0,56.0')] ).
cnf(149,plain,
( visFreeVar(skc9,vabs(skc9,skc10,skc11))
| vtcheck(skc7,vabs(skc9,skc10,skc11),skc12) ),
inference(res,[status(thm),theory(equality)],[52,88]),
[iquote('0:Res:52.0,88.0')] ).
cnf(151,plain,
visFreeVar(skc9,vabs(skc9,skc10,skc11)),
inference(mrr,[status(thm)],[149,131]),
[iquote('0:MRR:149.1,131.0')] ).
cnf(452,plain,
~ equal(skc9,skc9),
inference(res,[status(thm),theory(equality)],[151,59]),
[iquote('0:Res:151.0,59.1')] ).
cnf(453,plain,
$false,
inference(obv,[status(thm),theory(equality)],[452]),
[iquote('0:Obv:452.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM130+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 18:47:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.55/0.74
% 0.55/0.74 SPASS V 3.9
% 0.55/0.74 SPASS beiseite: Proof found.
% 0.55/0.74 % SZS status Theorem
% 0.55/0.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.74 SPASS derived 280 clauses, backtracked 0 clauses, performed 0 splits and kept 270 clauses.
% 0.55/0.74 SPASS allocated 100218 KBytes.
% 0.55/0.74 SPASS spent 0:00:00.39 on the problem.
% 0.55/0.74 0:00:00.04 for the input.
% 0.55/0.74 0:00:00.29 for the FLOTTER CNF translation.
% 0.55/0.74 0:00:00.00 for inferences.
% 0.55/0.74 0:00:00.00 for the backtracking.
% 0.55/0.74 0:00:00.03 for the reduction.
% 0.55/0.74
% 0.55/0.74
% 0.55/0.74 Here is a proof with depth 2, length 10 :
% 0.55/0.74 % SZS output start Refutation
% See solution above
% 0.55/0.74 Formulae used in the proof : T_a45_subst_a45_abs_a45_1 isFreeVar1 subst3 T_a45_Strong
% 0.55/0.74
%------------------------------------------------------------------------------