TSTP Solution File: RNG110+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG110+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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  : 300s
% DateTime : Wed Aug 31 18:15:53 EDT 2022

% Result   : CounterSatisfiable 0.20s 0.54s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : RNG110+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.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    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:07:04 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (8016)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (8026)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (8021)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (8012)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51  % (8013)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (8032)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51  % (8042)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.51  % (8017)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (8031)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (8014)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (8020)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (8018)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (8029)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (8035)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (8027)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (8028)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (8033)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (8020)Instruction limit reached!
% 0.20/0.52  % (8020)------------------------------
% 0.20/0.52  % (8020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8020)Termination reason: Unknown
% 0.20/0.52  % (8020)Termination phase: Preprocessing 1
% 0.20/0.52  
% 0.20/0.52  % (8020)Memory used [KB]: 895
% 0.20/0.52  % (8020)Time elapsed: 0.003 s
% 0.20/0.52  % (8020)Instructions burned: 2 (million)
% 0.20/0.52  % (8020)------------------------------
% 0.20/0.52  % (8020)------------------------------
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.53  % (8030)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (8015)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (8041)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (8019)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (8034)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  Finite Model Found!
% 0.20/0.53  % (8022)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (8013)Refutation not found, incomplete strategy% (8013)------------------------------
% 0.20/0.53  % (8013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8013)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (8013)Memory used [KB]: 5756
% 0.20/0.53  % (8013)Time elapsed: 0.137 s
% 0.20/0.53  % (8013)Instructions burned: 11 (million)
% 0.20/0.53  % (8013)------------------------------
% 0.20/0.53  % (8013)------------------------------
% 0.20/0.53  % (8036)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (8038)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (8040)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (8025)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.54  % (8037)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (8012)First to succeed.
% 0.20/0.54  % SZS output start FiniteModel for theBenchmark
% 0.20/0.54  tff(declare_$i,type,$i:$tType).
% 0.20/0.54  tff(declare_$i1,type,sz00:$i).
% 0.20/0.54  tff(declare_$i2,type,sz10:$i).
% 0.20/0.54  tff(finite_domain,axiom,
% 0.20/0.54        ! [X:$i] : (
% 0.20/0.54           X = sz00 | X = sz10
% 0.20/0.54        ) ).
% 0.20/0.54  
% 0.20/0.54  tff(distinct_domain,axiom,
% 0.20/0.54           sz00 != sz10
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_bool,type,$o:$tType).
% 0.20/0.54  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.20/0.54  tff(finite_domain,axiom,
% 0.20/0.54        ! [X:$o] : (
% 0.20/0.54           X = fmb_bool_1
% 0.20/0.54        ) ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_xa,type,xa:$i).
% 0.20/0.54  tff(xa_definition,axiom,xa = sz00).
% 0.20/0.54  tff(declare_xb,type,xb:$i).
% 0.20/0.54  tff(xb_definition,axiom,xb = sz10).
% 0.20/0.54  tff(declare_xc,type,xc:$i).
% 0.20/0.54  tff(xc_definition,axiom,xc = sz10).
% 0.20/0.54  tff(declare_xI,type,xI:$i).
% 0.20/0.54  tff(xI_definition,axiom,xI = sz00).
% 0.20/0.54  tff(declare_smndt0,type,smndt0: $i > $i).
% 0.20/0.54  tff(function_smndt0,axiom,
% 0.20/0.54             smndt0(sz00) = sz00
% 0.20/0.54           & smndt0(sz10) = sz10
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_sdtpldt0,type,sdtpldt0: $i * $i > $i).
% 0.20/0.54  tff(function_sdtpldt0,axiom,
% 0.20/0.54             sdtpldt0(sz00,sz00) = sz00
% 0.20/0.54           & sdtpldt0(sz00,sz10) = sz10
% 0.20/0.54           & sdtpldt0(sz10,sz00) = sz10
% 0.20/0.54           & sdtpldt0(sz10,sz10) = sz00
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_sdtasdt0,type,sdtasdt0: $i * $i > $i).
% 0.20/0.54  tff(function_sdtasdt0,axiom,
% 0.20/0.54             sdtasdt0(sz00,sz00) = sz00
% 0.20/0.54           & sdtasdt0(sz00,sz10) = sz00
% 0.20/0.54           & sdtasdt0(sz10,sz00) = sz00
% 0.20/0.54           & sdtasdt0(sz10,sz10) = sz10
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_sdtpldt1,type,sdtpldt1: $i * $i > $i).
% 0.20/0.54  tff(function_sdtpldt1,axiom,
% 0.20/0.54             sdtpldt1(sz00,sz00) = sz00
% 0.20/0.54           & sdtpldt1(sz00,sz10) = sz00
% 0.20/0.54           & sdtpldt1(sz10,sz00) = sz00
% 0.20/0.54           & sdtpldt1(sz10,sz10) = sz10
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_sdtasasdt0,type,sdtasasdt0: $i * $i > $i).
% 0.20/0.54  tff(function_sdtasasdt0,axiom,
% 0.20/0.54             sdtasasdt0(sz00,sz00) = sz00
% 0.20/0.54           & sdtasasdt0(sz00,sz10) = sz10
% 0.20/0.54           & sdtasasdt0(sz10,sz00) = sz10
% 0.20/0.54           & sdtasasdt0(sz10,sz10) = sz10
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_slsdtgt0,type,slsdtgt0: $i > $i).
% 0.20/0.54  tff(function_slsdtgt0,axiom,
% 0.20/0.54             slsdtgt0(sz00) = sz10
% 0.20/0.54           & slsdtgt0(sz10) = sz00
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aElement0,type,aElement0: $i > $o ).
% 0.20/0.54  tff(predicate_aElement0,axiom,
% 0.20/0.54             aElement0(sz00)
% 0.20/0.54           & aElement0(sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aSet0,type,aSet0: $i > $o ).
% 0.20/0.54  tff(predicate_aSet0,axiom,
% 0.20/0.54             aSet0(sz00)
% 0.20/0.54           & aSet0(sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aElementOf0,type,aElementOf0: $i * $i > $o ).
% 0.20/0.54  tff(predicate_aElementOf0,axiom,
% 0.20/0.54             aElementOf0(sz00,sz00)
% 0.20/0.54           & aElementOf0(sz00,sz10)
% 0.20/0.54           & aElementOf0(sz10,sz00)
% 0.20/0.54           & ~aElementOf0(sz10,sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aIdeal0,type,aIdeal0: $i > $o ).
% 0.20/0.54  tff(predicate_aIdeal0,axiom,
% 0.20/0.54             aIdeal0(sz00)
% 0.20/0.54           & aIdeal0(sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_sdteqdtlpzmzozddtrp0,type,sdteqdtlpzmzozddtrp0: $i * $i * $i > $o ).
% 0.20/0.54  tff(predicate_sdteqdtlpzmzozddtrp0,axiom,
% 0.20/0.54             sdteqdtlpzmzozddtrp0(sz00,sz00,sz00)
% 0.20/0.54           & sdteqdtlpzmzozddtrp0(sz00,sz00,sz10)
% 0.20/0.54           & sdteqdtlpzmzozddtrp0(sz00,sz10,sz00)
% 0.20/0.54           & ~sdteqdtlpzmzozddtrp0(sz00,sz10,sz10)
% 0.20/0.54           & sdteqdtlpzmzozddtrp0(sz10,sz00,sz00)
% 0.20/0.54           & ~sdteqdtlpzmzozddtrp0(sz10,sz00,sz10)
% 0.20/0.54           & sdteqdtlpzmzozddtrp0(sz10,sz10,sz00)
% 0.20/0.54           & sdteqdtlpzmzozddtrp0(sz10,sz10,sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aNaturalNumber0,type,aNaturalNumber0: $i > $o ).
% 0.20/0.54  tff(predicate_aNaturalNumber0,axiom,
% 0.20/0.54             aNaturalNumber0(sz00)
% 0.20/0.54  %         aNaturalNumber0(sz10) undefined in model
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_iLess0,type,iLess0: $i * $i > $o ).
% 0.20/0.54  tff(predicate_iLess0,axiom,
% 0.20/0.54  %         iLess0(sz00,sz00) undefined in model
% 0.20/0.54  %         iLess0(sz00,sz10) undefined in model
% 0.20/0.54  %         iLess0(sz10,sz00) undefined in model
% 0.20/0.54  %         iLess0(sz10,sz10) undefined in model
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_doDivides0,type,doDivides0: $i * $i > $o ).
% 0.20/0.54  tff(predicate_doDivides0,axiom,
% 0.20/0.54             doDivides0(sz00,sz00)
% 0.20/0.54           & ~doDivides0(sz00,sz10)
% 0.20/0.54           & doDivides0(sz10,sz00)
% 0.20/0.54           & doDivides0(sz10,sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aDivisorOf0,type,aDivisorOf0: $i * $i > $o ).
% 0.20/0.54  tff(predicate_aDivisorOf0,axiom,
% 0.20/0.54             aDivisorOf0(sz00,sz00)
% 0.20/0.54           & ~aDivisorOf0(sz00,sz10)
% 0.20/0.54           & aDivisorOf0(sz10,sz00)
% 0.20/0.54           & aDivisorOf0(sz10,sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_aGcdOfAnd0,type,aGcdOfAnd0: $i * $i * $i > $o ).
% 0.20/0.54  tff(predicate_aGcdOfAnd0,axiom,
% 0.20/0.54             ~aGcdOfAnd0(sz00,sz00,sz00)
% 0.20/0.54           & ~aGcdOfAnd0(sz00,sz00,sz10)
% 0.20/0.54           & ~aGcdOfAnd0(sz00,sz10,sz00)
% 0.20/0.54           & ~aGcdOfAnd0(sz00,sz10,sz10)
% 0.20/0.54           & ~aGcdOfAnd0(sz10,sz00,sz00)
% 0.20/0.54           & aGcdOfAnd0(sz10,sz00,sz10)
% 0.20/0.54           & ~aGcdOfAnd0(sz10,sz10,sz00)
% 0.20/0.54           & ~aGcdOfAnd0(sz10,sz10,sz10)
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_misRelativelyPrime0,type,misRelativelyPrime0: $i * $i > $o ).
% 0.20/0.54  tff(predicate_misRelativelyPrime0,axiom,
% 0.20/0.54             ~misRelativelyPrime0(sz00,sz00)
% 0.20/0.54  %         misRelativelyPrime0(sz00,sz10) undefined in model
% 0.20/0.54  %         misRelativelyPrime0(sz10,sz00) undefined in model
% 0.20/0.54  %         misRelativelyPrime0(sz10,sz10) undefined in model
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  % SZS output end FiniteModel for theBenchmark
% 0.20/0.54  % (8012)------------------------------
% 0.20/0.54  % (8012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8012)Termination reason: Satisfiable
% 0.20/0.54  
% 0.20/0.54  % (8012)Memory used [KB]: 6524
% 0.20/0.54  % (8012)Time elapsed: 0.126 s
% 0.20/0.54  % (8012)Instructions burned: 35 (million)
% 0.20/0.54  % (8012)------------------------------
% 0.20/0.54  % (8012)------------------------------
% 0.20/0.54  % (8008)Success in time 0.188 s
%------------------------------------------------------------------------------