TSTP Solution File: COM141+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM141+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 01:44:44 EDT 2022
% Result : Theorem 0.52s 0.70s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 8 unt; 1 nHn; 15 RR)
% Number of literals : 27 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
equal(vlookup(skc10,skc6),vnoType),
file('COM141+1.p',unknown),
[] ).
cnf(21,axiom,
vtcheck(skc6,vabs(skc7,skc8,veabs),skc9),
file('COM141+1.p',unknown),
[] ).
cnf(56,axiom,
~ vtcheck(vbind(skc10,skc11,skc6),vabs(skc7,skc8,veabs),skc9),
file('COM141+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ equal(vlookup(u,v),vnoType)
| ~ vtcheck(v,vabs(u,w,veabs),x)
| vtcheck(vbind(u,y,v),vabs(u,w,veabs),x) ),
file('COM141+1.p',unknown),
[] ).
cnf(125,axiom,
( ~ equal(vlookup(u,v),vnoType)
| ~ vtcheck(v,vabs(w,x,veabs),y)
| equal(u,w)
| vtcheck(vbind(u,z,v),vabs(w,x,veabs),y) ),
file('COM141+1.p',unknown),
[] ).
cnf(171,plain,
( ~ equal(vlookup(skc7,skc6),vnoType)
| vtcheck(vbind(skc7,u,skc6),vabs(skc7,skc8,veabs),skc9) ),
inference(res,[status(thm),theory(equality)],[21,121]),
[iquote('0:Res:21.0,121.0')] ).
cnf(173,plain,
( ~ equal(vlookup(skc10,skc6),vnoType)
| ~ vtcheck(skc6,vabs(skc7,skc8,veabs),skc9)
| equal(skc10,skc7) ),
inference(res,[status(thm),theory(equality)],[125,56]),
[iquote('0:Res:125.2,56.0')] ).
cnf(176,plain,
( ~ equal(vnoType,vnoType)
| ~ vtcheck(skc6,vabs(skc7,skc8,veabs),skc9)
| equal(skc10,skc7) ),
inference(rew,[status(thm),theory(equality)],[11,173]),
[iquote('0:Rew:11.0,173.0')] ).
cnf(177,plain,
( ~ vtcheck(skc6,vabs(skc7,skc8,veabs),skc9)
| equal(skc10,skc7) ),
inference(obv,[status(thm),theory(equality)],[176]),
[iquote('0:Obv:176.0')] ).
cnf(178,plain,
equal(skc10,skc7),
inference(mrr,[status(thm)],[177,21]),
[iquote('0:MRR:177.0,21.0')] ).
cnf(179,plain,
equal(vlookup(skc7,skc6),vnoType),
inference(rew,[status(thm),theory(equality)],[178,11]),
[iquote('0:Rew:178.0,11.0')] ).
cnf(180,plain,
~ vtcheck(vbind(skc7,skc11,skc6),vabs(skc7,skc8,veabs),skc9),
inference(rew,[status(thm),theory(equality)],[178,56]),
[iquote('0:Rew:178.0,56.0')] ).
cnf(183,plain,
( ~ equal(vnoType,vnoType)
| vtcheck(vbind(skc7,u,skc6),vabs(skc7,skc8,veabs),skc9) ),
inference(rew,[status(thm),theory(equality)],[179,171]),
[iquote('0:Rew:179.0,171.0')] ).
cnf(184,plain,
vtcheck(vbind(skc7,u,skc6),vabs(skc7,skc8,veabs),skc9),
inference(obv,[status(thm),theory(equality)],[183]),
[iquote('0:Obv:183.0')] ).
cnf(185,plain,
$false,
inference(unc,[status(thm)],[184,180]),
[iquote('0:UnC:184.0,180.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 17:17:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.52/0.70
% 0.52/0.70 SPASS V 3.9
% 0.52/0.70 SPASS beiseite: Proof found.
% 0.52/0.70 % SZS status Theorem
% 0.52/0.70 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.70 SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 136 clauses.
% 0.52/0.70 SPASS allocated 100151 KBytes.
% 0.52/0.70 SPASS spent 0:00:00.35 on the problem.
% 0.52/0.70 0:00:00.04 for the input.
% 0.52/0.70 0:00:00.28 for the FLOTTER CNF translation.
% 0.52/0.70 0:00:00.00 for inferences.
% 0.52/0.70 0:00:00.00 for the backtracking.
% 0.52/0.70 0:00:00.01 for the reduction.
% 0.52/0.70
% 0.52/0.70
% 0.52/0.70 Here is a proof with depth 1, length 15 :
% 0.52/0.70 % SZS output start Refutation
% See solution above
% 0.52/0.70 Formulae used in the proof : T_a45_Weak_a45_abs T_a45_Weak_a45_abs_a45_2 T_a45_Weak_a45_abs_a45_1
% 0.52/0.70
%------------------------------------------------------------------------------