TSTP Solution File: RNG079+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG079+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Mon Jul 18 20:41:24 EDT 2022
% Result : Theorem 21.22s 21.44s
% Output : Refutation 21.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 41 ( 22 unt; 0 nHn; 41 RR)
% Number of literals : 87 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
aScalar0(xA),
file('RNG079+1.p',unknown),
[] ).
cnf(8,axiom,
aScalar0(xB),
file('RNG079+1.p',unknown),
[] ).
cnf(9,axiom,
aScalar0(xC),
file('RNG079+1.p',unknown),
[] ).
cnf(10,axiom,
aScalar0(xD),
file('RNG079+1.p',unknown),
[] ).
cnf(11,axiom,
aScalar0(xE),
file('RNG079+1.p',unknown),
[] ).
cnf(12,axiom,
aScalar0(xF),
file('RNG079+1.p',unknown),
[] ).
cnf(13,axiom,
aScalar0(xG),
file('RNG079+1.p',unknown),
[] ).
cnf(14,axiom,
aScalar0(xH),
file('RNG079+1.p',unknown),
[] ).
cnf(28,axiom,
equal(sdtasdt0(xA,xA),xF),
file('RNG079+1.p',unknown),
[] ).
cnf(30,axiom,
equal(sdtasdt0(xA,xB),xH),
file('RNG079+1.p',unknown),
[] ).
cnf(31,axiom,
equal(sdtasdt0(xC,xG),xR),
file('RNG079+1.p',unknown),
[] ).
cnf(32,axiom,
equal(sdtasdt0(xE,xH),xP),
file('RNG079+1.p',unknown),
[] ).
cnf(33,axiom,
equal(sdtasdt0(xF,xD),xS),
file('RNG079+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(v,u),sdtasdt0(u,v)) ),
file('RNG079+1.p',unknown),
[] ).
cnf(67,axiom,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('RNG079+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtasdt0(w,v),u),sdtasdt0(w,sdtasdt0(v,u))) ),
file('RNG079+1.p',unknown),
[] ).
cnf(85,axiom,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('RNG079+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(x)
| equal(sdtasdt0(sdtpldt0(x,w),sdtpldt0(v,u)),sdtpldt0(sdtpldt0(sdtasdt0(x,v),sdtasdt0(x,u)),sdtpldt0(sdtasdt0(w,v),sdtasdt0(w,u)))) ),
file('RNG079+1.p',unknown),
[] ).
cnf(93,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rew,[status(thm),theory(equality)],[32,85,31,33]),
[iquote('0:Rew:32.0,85.0,31.0,85.0,33.0,85.0')] ).
cnf(188,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xF)
| equal(sdtasdt0(xD,xF),xS) ),
inference(spr,[status(thm),theory(equality)],[61,33]),
[iquote('0:SpR:61.2,33.0')] ).
cnf(208,plain,
equal(sdtasdt0(xD,xF),xS),
inference(ssi,[status(thm)],[188,12,10]),
[iquote('0:SSi:188.1,188.0,12.0,10.0')] ).
cnf(951,plain,
( ~ aScalar0(u)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| equal(sdtasdt0(xH,u),sdtasdt0(xA,sdtasdt0(xB,u))) ),
inference(spr,[status(thm),theory(equality)],[30,75]),
[iquote('0:SpR:30.0,75.3')] ).
cnf(953,plain,
( ~ aScalar0(u)
| ~ aScalar0(xA)
| ~ aScalar0(xA)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(spr,[status(thm),theory(equality)],[28,75]),
[iquote('0:SpR:28.0,75.3')] ).
cnf(972,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xH,u),sdtasdt0(xA,sdtasdt0(xB,u))) ),
inference(ssi,[status(thm)],[951,7,8]),
[iquote('0:SSi:951.2,951.1,7.0,8.0')] ).
cnf(981,plain,
( ~ aScalar0(u)
| ~ aScalar0(xA)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(obv,[status(thm),theory(equality)],[953]),
[iquote('0:Obv:953.1')] ).
cnf(982,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(ssi,[status(thm)],[981,7]),
[iquote('0:SSi:981.1,7.0')] ).
cnf(1629,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))) ),
inference(spr,[status(thm),theory(equality)],[61,93]),
[iquote('0:SpR:61.2,93.0')] ).
cnf(1647,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))) ),
inference(rew,[status(thm),theory(equality)],[32,1629]),
[iquote('0:Rew:32.0,1629.2')] ).
cnf(1648,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))) ),
inference(rew,[status(thm),theory(equality)],[972,1647]),
[iquote('0:Rew:972.1,1647.2')] ).
cnf(1649,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(ssi,[status(thm)],[1648,11,14]),
[iquote('0:SSi:1648.1,1648.0,11.0,14.0')] ).
cnf(2494,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(spl,[status(thm),theory(equality)],[90,67]),
[iquote('0:SpL:90.4,67.0')] ).
cnf(2498,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(obv,[status(thm),theory(equality)],[2494]),
[iquote('0:Obv:2494.1')] ).
cnf(2499,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(rew,[status(thm),theory(equality)],[32,2498,61]),
[iquote('0:Rew:32.0,2498.2,61.2,2498.2')] ).
cnf(2500,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(rew,[status(thm),theory(equality)],[972,2499]),
[iquote('0:Rew:972.1,2499.2')] ).
cnf(2501,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(ssi,[status(thm)],[2500,11,14]),
[iquote('0:SSi:2500.1,2500.0,11.0,14.0')] ).
cnf(13010,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))) ),
inference(spl,[status(thm),theory(equality)],[90,2501]),
[iquote('0:SpL:90.4,2501.0')] ).
cnf(13050,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xA,sdtasdt0(xA,xG))))) ),
inference(rew,[status(thm),theory(equality)],[31,13010,208,61,982]),
[iquote('0:Rew:31.0,13010.4,208.0,13010.4,61.2,13010.4,982.1,13010.4')] ).
cnf(13051,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xA,sdtasdt0(xA,xG))))),
inference(ssi,[status(thm)],[13050,9,12,10,13]),
[iquote('0:SSi:13050.3,13050.2,13050.1,13050.0,9.0,12.0,10.0,13.0')] ).
cnf(25500,plain,
( ~ aScalar0(xG)
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xA,sdtasdt0(xA,xG))))) ),
inference(spr,[status(thm),theory(equality)],[982,1649]),
[iquote('0:SpR:982.1,1649.0')] ).
cnf(25525,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xA,sdtasdt0(xB,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xA,sdtasdt0(xA,xG))))),
inference(ssi,[status(thm)],[25500,13]),
[iquote('0:SSi:25500.0,13.0')] ).
cnf(25526,plain,
$false,
inference(mrr,[status(thm)],[25525,13051]),
[iquote('0:MRR:25525.0,13051.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG079+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.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 : Mon May 30 11:56:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 21.22/21.44
% 21.22/21.44 SPASS V 3.9
% 21.22/21.44 SPASS beiseite: Proof found.
% 21.22/21.44 % SZS status Theorem
% 21.22/21.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.22/21.44 SPASS derived 13301 clauses, backtracked 0 clauses, performed 0 splits and kept 4986 clauses.
% 21.22/21.44 SPASS allocated 126169 KBytes.
% 21.22/21.44 SPASS spent 0:0:18.28 on the problem.
% 21.22/21.44 0:00:00.03 for the input.
% 21.22/21.44 0:00:00.04 for the FLOTTER CNF translation.
% 21.22/21.44 0:00:00.21 for inferences.
% 21.22/21.44 0:00:00.00 for the backtracking.
% 21.22/21.44 0:0:17.90 for the reduction.
% 21.22/21.44
% 21.22/21.44
% 21.22/21.44 Here is a proof with depth 2, length 41 :
% 21.22/21.44 % SZS output start Refutation
% See solution above
% 21.22/21.44 Formulae used in the proof : m__1746 m__1766 m__1783 m__1800 m__1820 m__1837 m__1854 m__1873 m__1892 m__1911 m__1930 mArith m__ m__2905 mDistr2
% 21.22/21.44
%------------------------------------------------------------------------------