TSTP Solution File: RNG079+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG079+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 23.55s 23.73s
% Output : Refutation 23.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 39 ( 21 unt; 0 nHn; 39 RR)
% Number of literals : 83 ( 0 equ; 53 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+2.p',unknown),
[] ).
cnf(8,axiom,
aScalar0(xB),
file('RNG079+2.p',unknown),
[] ).
cnf(9,axiom,
aScalar0(xC),
file('RNG079+2.p',unknown),
[] ).
cnf(10,axiom,
aScalar0(xD),
file('RNG079+2.p',unknown),
[] ).
cnf(11,axiom,
aScalar0(xE),
file('RNG079+2.p',unknown),
[] ).
cnf(12,axiom,
aScalar0(xF),
file('RNG079+2.p',unknown),
[] ).
cnf(13,axiom,
aScalar0(xG),
file('RNG079+2.p',unknown),
[] ).
cnf(14,axiom,
aScalar0(xH),
file('RNG079+2.p',unknown),
[] ).
cnf(28,axiom,
equal(sdtasdt0(xA,xA),xF),
file('RNG079+2.p',unknown),
[] ).
cnf(30,axiom,
equal(sdtasdt0(xA,xB),xH),
file('RNG079+2.p',unknown),
[] ).
cnf(31,axiom,
equal(sdtasdt0(xC,xG),xR),
file('RNG079+2.p',unknown),
[] ).
cnf(32,axiom,
equal(sdtasdt0(xE,xH),xP),
file('RNG079+2.p',unknown),
[] ).
cnf(33,axiom,
equal(sdtasdt0(xF,xD),xS),
file('RNG079+2.p',unknown),
[] ).
cnf(65,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(v,u),sdtasdt0(u,v)) ),
file('RNG079+2.p',unknown),
[] ).
cnf(71,axiom,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('RNG079+2.p',unknown),
[] ).
cnf(79,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtasdt0(w,v),u),sdtasdt0(w,sdtasdt0(v,u))) ),
file('RNG079+2.p',unknown),
[] ).
cnf(89,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+2.p',unknown),
[] ).
cnf(94,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+2.p',unknown),
[] ).
cnf(98,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)],[32,89,31,33]),
[iquote('0:Rew:32.0,89.0,31.0,89.0,33.0,89.0')] ).
cnf(967,plain,
( ~ aScalar0(u)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| equal(sdtasdt0(xH,u),sdtasdt0(xA,sdtasdt0(xB,u))) ),
inference(spr,[status(thm),theory(equality)],[30,79]),
[iquote('0:SpR:30.0,79.3')] ).
cnf(969,plain,
( ~ aScalar0(u)
| ~ aScalar0(xA)
| ~ aScalar0(xA)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(spr,[status(thm),theory(equality)],[28,79]),
[iquote('0:SpR:28.0,79.3')] ).
cnf(988,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xH,u),sdtasdt0(xA,sdtasdt0(xB,u))) ),
inference(ssi,[status(thm)],[967,7,8]),
[iquote('0:SSi:967.2,967.1,7.0,8.0')] ).
cnf(997,plain,
( ~ aScalar0(u)
| ~ aScalar0(xA)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(obv,[status(thm),theory(equality)],[969]),
[iquote('0:Obv:969.1')] ).
cnf(998,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(ssi,[status(thm)],[997,7]),
[iquote('0:SSi:997.1,7.0')] ).
cnf(1661,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)],[65,98]),
[iquote('0:SpR:65.2,98.0')] ).
cnf(1675,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)],[32,1661]),
[iquote('0:Rew:32.0,1661.2')] ).
cnf(1676,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)],[988,1675]),
[iquote('0:Rew:988.1,1675.2')] ).
cnf(1677,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)],[1676,11,14]),
[iquote('0:SSi:1676.1,1676.0,11.0,14.0')] ).
cnf(2553,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)],[94,71]),
[iquote('0:SpL:94.4,71.0')] ).
cnf(2557,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)],[2553]),
[iquote('0:Obv:2553.1')] ).
cnf(2558,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)],[32,2557,65]),
[iquote('0:Rew:32.0,2557.2,65.2,2557.2')] ).
cnf(2559,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)],[988,2558]),
[iquote('0:Rew:988.1,2558.2')] ).
cnf(2560,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)],[2559,11,14]),
[iquote('0:SSi:2559.1,2559.0,11.0,14.0')] ).
cnf(16312,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)],[94,2560]),
[iquote('0:SpL:94.4,2560.0')] ).
cnf(16354,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)],[31,16312,33,998]),
[iquote('0:Rew:31.0,16312.4,33.0,16312.4,998.1,16312.4')] ).
cnf(16355,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)],[16354,9,12,10,13]),
[iquote('0:SSi:16354.3,16354.2,16354.1,16354.0,9.0,12.0,10.0,13.0')] ).
cnf(30722,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)],[998,1677]),
[iquote('0:SpR:998.1,1677.0')] ).
cnf(30747,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)],[30722,13]),
[iquote('0:SSi:30722.0,13.0')] ).
cnf(30748,plain,
$false,
inference(mrr,[status(thm)],[30747,16355]),
[iquote('0:MRR:30747.0,16355.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG079+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.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 : Mon May 30 21:01:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 23.55/23.73
% 23.55/23.73 SPASS V 3.9
% 23.55/23.73 SPASS beiseite: Proof found.
% 23.55/23.73 % SZS status Theorem
% 23.55/23.73 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.55/23.73 SPASS derived 16266 clauses, backtracked 722 clauses, performed 1 splits and kept 5863 clauses.
% 23.55/23.73 SPASS allocated 129381 KBytes.
% 23.55/23.73 SPASS spent 0:0:19.91 on the problem.
% 23.55/23.73 0:00:00.04 for the input.
% 23.55/23.73 0:00:00.04 for the FLOTTER CNF translation.
% 23.55/23.73 0:00:00.26 for inferences.
% 23.55/23.73 0:00:00.02 for the backtracking.
% 23.55/23.73 0:0:19.43 for the reduction.
% 23.55/23.73
% 23.55/23.73
% 23.55/23.73 Here is a proof with depth 2, length 39 :
% 23.55/23.73 % SZS output start Refutation
% See solution above
% 23.55/23.73 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
% 23.55/23.73
%------------------------------------------------------------------------------