%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM143+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 01:44:45 EDT 2022
% Result : Theorem 3.23s 3.42s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of clauses : 50 ( 19 unt; 7 nHn; 50 RR)
% Number of literals : 97 ( 0 equ; 41 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 44 ( 44 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
equal(vlookup(skc8,skc5),vnoType),
file('COM143+1.p',unknown),
[] ).
cnf(12,axiom,
vtcheck(skc5,vvar(skc6),skc7),
file('COM143+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(vsomeType(u),vnoType),
file('COM143+1.p',unknown),
[] ).
cnf(22,axiom,
~ equal(vvar(u),vapp(v,w)),
file('COM143+1.p',unknown),
[] ).
cnf(25,axiom,
equal(vsubst(u,v,vvar(u)),v),
file('COM143+1.p',unknown),
[] ).
cnf(33,axiom,
~ equal(vvar(u),vabs(v,w,x)),
file('COM143+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ skP7(u)
| equal(vvar(skf77(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(41,axiom,
~ vtcheck(vbind(skc8,skc9,skc5),vvar(skc6),skc7),
file('COM143+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ skP12(u)
| equal(vapp(skf96(u),skf97(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(60,axiom,
( equal(u,v)
| equal(vsubst(u,w,vvar(v)),vvar(v)) ),
file('COM143+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ skP8(u)
| equal(vabs(skf78(u),skf79(u),skf80(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ equal(vlookup(u,v),vsomeType(w))
| vtcheck(v,vvar(u),w) ),
file('COM143+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ skP13(u,v,w)
| equal(vvar(skf101(w,x,y)),w) ),
file('COM143+1.p',unknown),
[] ).
cnf(82,axiom,
( equal(u,v)
| equal(vlookup(u,vbind(v,w,x)),vlookup(u,x)) ),
file('COM143+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ skP13(u,v,w)
| equal(vlookup(skf101(w,u,v),v),vsomeType(u)) ),
file('COM143+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ skP9(u)
| equal(vapp(vabs(skf82(u),skf83(u),skf84(u)),skf81(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ skP10(u)
| equal(vapp(vabs(skf86(u),skf88(u),skf87(u)),skf85(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ skP11(u)
| equal(vapp(vabs(skf90(u),skf91(u),skf92(u)),skf89(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(107,axiom,
( skP12(u)
| skP11(u)
| skP10(u)
| skP9(u)
| skP8(u)
| skP7(u)
| equal(vapp(skf75(u),skf76(u)),u) ),
file('COM143+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ skP14(u,v,w)
| equal(vabs(skf104(w,u,v),skf103(v,u,w),skf105(w,u,v)),w) ),
file('COM143+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ vtcheck(u,v,w)
| equal(vapp(skf100(v,w,u),skf98(w,u,v)),v)
| skP14(u,w,v)
| skP13(w,u,v) ),
file('COM143+1.p',unknown),
[] ).
cnf(200,plain,
( ~ skP7(u)
| equal(vsubst(skf77(u),v,u),v) ),
inference(spr,[status(thm),theory(equality)],[38,25]),
[iquote('0:SpR:38.1,25.0')] ).
cnf(349,plain,
( ~ skP12(u)
| ~ equal(vvar(v),u) ),
inference(spl,[status(thm),theory(equality)],[55,22]),
[iquote('0:SpL:55.1,22.0')] ).
cnf(398,plain,
( ~ skP7(vvar(u))
| equal(skf77(vvar(u)),u)
| equal(vvar(u),v) ),
inference(spr,[status(thm),theory(equality)],[60,200]),
[iquote('0:SpR:60.1,200.1')] ).
cnf(403,plain,
( ~ skP7(vvar(u))
| equal(skf77(vvar(u)),u) ),
inference(aed,[status(thm),theory(equality)],[15,398]),
[iquote('0:AED:15.0,398.2')] ).
cnf(558,plain,
( ~ skP8(u)
| ~ equal(vvar(v),u) ),
inference(spl,[status(thm),theory(equality)],[72,33]),
[iquote('0:SpL:72.1,33.0')] ).
cnf(580,plain,
~ equal(vlookup(skc6,vbind(skc8,skc9,skc5)),vsomeType(skc7)),
inference(res,[status(thm),theory(equality)],[73,41]),
[iquote('0:Res:73.1,41.0')] ).
cnf(713,plain,
( ~ equal(vlookup(skc6,skc5),vsomeType(skc7))
| equal(skc8,skc6) ),
inference(spl,[status(thm),theory(equality)],[82,580]),
[iquote('0:SpL:82.1,580.0')] ).
cnf(1042,plain,
( ~ skP11(u)
| ~ equal(vvar(v),u) ),
inference(spl,[status(thm),theory(equality)],[93,22]),
[iquote('0:SpL:93.1,22.0')] ).
cnf(1100,plain,
( ~ skP10(u)
| ~ equal(vvar(v),u) ),
inference(spl,[status(thm),theory(equality)],[92,22]),
[iquote('0:SpL:92.1,22.0')] ).
cnf(1164,plain,
( ~ skP9(u)
| ~ equal(vvar(v),u) ),
inference(spl,[status(thm),theory(equality)],[91,22]),
[iquote('0:SpL:91.1,22.0')] ).
cnf(2338,plain,
( ~ equal(vvar(u),v)
| skP12(v)
| skP11(v)
| skP10(v)
| skP9(v)
| skP8(v)
| skP7(v) ),
inference(spl,[status(thm),theory(equality)],[107,22]),
[iquote('0:SpL:107.6,22.0')] ).
cnf(2377,plain,
( ~ equal(vvar(u),v)
| skP7(v) ),
inference(mrr,[status(thm)],[2338,349,1042,1100,1164,558]),
[iquote('0:MRR:2338.1,2338.2,2338.3,2338.4,2338.5,349.0,1042.0,1100.0,1164.0,558.0')] ).
cnf(2426,plain,
skP7(vvar(u)),
inference(eqr,[status(thm),theory(equality)],[2377]),
[iquote('0:EqR:2377.0')] ).
cnf(2430,plain,
equal(skf77(vvar(u)),u),
inference(mrr,[status(thm)],[403,2426]),
[iquote('0:MRR:403.0,2426.0')] ).
cnf(2511,plain,
( ~ skP14(u,v,w)
| ~ equal(vvar(x),w) ),
inference(spl,[status(thm),theory(equality)],[109,33]),
[iquote('0:SpL:109.1,33.0')] ).
cnf(3080,plain,
( ~ vtcheck(u,v,w)
| ~ equal(vvar(x),v)
| skP14(u,w,v)
| skP13(w,u,v) ),
inference(spl,[status(thm),theory(equality)],[117,22]),
[iquote('0:SpL:117.1,22.0')] ).
cnf(3118,plain,
( ~ vtcheck(u,v,w)
| ~ equal(vvar(x),v)
| skP13(w,u,v) ),
inference(mrr,[status(thm)],[3080,2511]),
[iquote('0:MRR:3080.2,2511.0')] ).
cnf(8815,plain,
( ~ equal(vvar(u),vvar(skc6))
| skP13(skc7,skc5,vvar(skc6)) ),
inference(res,[status(thm),theory(equality)],[12,3118]),
[iquote('0:Res:12.0,3118.0')] ).
cnf(8824,plain,
skP13(skc7,skc5,vvar(skc6)),
inference(eqr,[status(thm),theory(equality)],[8815]),
[iquote('0:EqR:8815.0')] ).
cnf(8837,plain,
equal(vvar(skf101(vvar(skc6),u,v)),vvar(skc6)),
inference(res,[status(thm),theory(equality)],[8824,74]),
[iquote('0:Res:8824.0,74.0')] ).
cnf(8871,plain,
equal(skf101(vvar(skc6),u,v),skf77(vvar(skc6))),
inference(spr,[status(thm),theory(equality)],[8837,2430]),
[iquote('0:SpR:8837.0,2430.0')] ).
cnf(8959,plain,
equal(skf101(vvar(skc6),u,v),skc6),
inference(rew,[status(thm),theory(equality)],[2430,8871]),
[iquote('0:Rew:2430.0,8871.0')] ).
cnf(9039,plain,
( ~ skP13(u,v,vvar(skc6))
| equal(vlookup(skc6,v),vsomeType(u)) ),
inference(spr,[status(thm),theory(equality)],[8959,87]),
[iquote('0:SpR:8959.0,87.1')] ).
cnf(9308,plain,
equal(vlookup(skc6,skc5),vsomeType(skc7)),
inference(res,[status(thm),theory(equality)],[8824,9039]),
[iquote('0:Res:8824.0,9039.0')] ).
cnf(9311,plain,
( ~ equal(vsomeType(skc7),vsomeType(skc7))
| equal(skc8,skc6) ),
inference(rew,[status(thm),theory(equality)],[9308,713]),
[iquote('0:Rew:9308.0,713.0')] ).
cnf(9313,plain,
equal(skc8,skc6),
inference(obv,[status(thm),theory(equality)],[9311]),
[iquote('0:Obv:9311.0')] ).
cnf(9314,plain,
equal(vlookup(skc6,skc5),vnoType),
inference(rew,[status(thm),theory(equality)],[9313,11]),
[iquote('0:Rew:9313.0,11.0')] ).
cnf(9343,plain,
equal(vsomeType(skc7),vnoType),
inference(rew,[status(thm),theory(equality)],[9308,9314]),
[iquote('0:Rew:9308.0,9314.0')] ).
cnf(9344,plain,
$false,
inference(mrr,[status(thm)],[9343,15]),
[iquote('0:MRR:9343.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COM143+1 : TPTP v8.1.0. Released v6.4.0.
% 0.08/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 18:40:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.23/3.42
% 3.23/3.42 SPASS V 3.9
% 3.23/3.42 SPASS beiseite: Proof found.
% 3.23/3.42 % SZS status Theorem
% 3.23/3.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.23/3.42 SPASS derived 7542 clauses, backtracked 0 clauses, performed 0 splits and kept 3427 clauses.
% 3.23/3.42 SPASS allocated 108026 KBytes.
% 3.23/3.42 SPASS spent 0:00:02.98 on the problem.
% 3.23/3.42 0:00:00.04 for the input.
% 3.23/3.42 0:00:00.26 for the FLOTTER CNF translation.
% 3.23/3.42 0:00:00.11 for inferences.
% 3.23/3.42 0:00:00.00 for the backtracking.
% 3.23/3.42 0:00:02.50 for the reduction.
% 3.23/3.42
% 3.23/3.42
% 3.23/3.42 Here is a proof with depth 7, length 50 :
% 3.23/3.42 % SZS output start Refutation
% See solution above
% 3.23/3.42 Formulae used in the proof : T_a45_Weak_a45_var DIFF_a45_noType_a45_someType DIFF_a45_var_a45_app subst0 DIFF_a45_var_a45_abs reduce_a45_INV DIFF_a45_abs_a45_app isValue0 isValue1 subst1 T_a45_var T_a45_inv lookup1 T_a45_abs lookup2
% 3.23/3.42
%------------------------------------------------------------------------------