TSTP Solution File: GRP134-2.005 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP134-2.005 : TPTP v8.1.0. Released v1.2.0.
% 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 : n020.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 16:20:32 EDT 2022

% Result   : Satisfiable 1.47s 0.56s
% Output   : FiniteModel 1.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP134-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:18:15 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.52  % (30067)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  % (30065)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  % (30075)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  Detected maximum model sizes of [5]
% 0.20/0.52  % (30067)Instruction limit reached!
% 0.20/0.52  % (30067)------------------------------
% 0.20/0.52  % (30067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (30086)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)
% 0.20/0.53  % (30081)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  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (30083)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  TRYING [3]
% 0.20/0.53  TRYING [4]
% 0.20/0.53  % (30067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (30067)Termination reason: Unknown
% 0.20/0.53  % (30067)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (30067)Memory used [KB]: 5373
% 0.20/0.53  % (30067)Time elapsed: 0.097 s
% 0.20/0.53  % (30067)Instructions burned: 3 (million)
% 0.20/0.53  % (30067)------------------------------
% 0.20/0.53  % (30067)------------------------------
% 0.20/0.53  TRYING [5]
% 0.20/0.54  % (30073)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)
% 0.20/0.54  % (30066)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (30074)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)
% 0.20/0.55  % (30087)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.55  % (30082)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)
% 1.47/0.55  % (30063)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.56  Finite Model Found!
% 1.47/0.56  % SZS status Satisfiable for theBenchmark
% 1.47/0.56  % (30065)First to succeed.
% 1.47/0.56  % SZS output start FiniteModel for theBenchmark
% 1.47/0.56  tff(declare_$i,type,$i:$tType).
% 1.47/0.56  tff(declare_$i1,type,e_1:$i).
% 1.47/0.56  tff(declare_$i2,type,e_2:$i).
% 1.47/0.56  tff(declare_$i3,type,e_3:$i).
% 1.47/0.56  tff(declare_$i4,type,e_4:$i).
% 1.47/0.56  tff(declare_$i5,type,e_5:$i).
% 1.47/0.56  tff(finite_domain,axiom,
% 1.47/0.56        ! [X:$i] : (
% 1.47/0.56           X = e_1 | X = e_2 | X = e_3 | X = e_4 | X = e_5
% 1.47/0.56        ) ).
% 1.47/0.56  
% 1.47/0.56  tff(distinct_domain,axiom,
% 1.47/0.56           e_1 != e_2 & e_1 != e_3 & e_1 != e_4 & e_1 != e_5 & e_2 != e_3 & 
% 1.47/0.56           e_2 != e_4 & e_2 != e_5 & e_3 != e_4 & e_3 != e_5 & e_4 != e_5
% 1.47/0.56  ).
% 1.47/0.56  
% 1.47/0.56  tff(declare_bool,type,$o:$tType).
% 1.47/0.56  tff(declare_bool1,type,fmb_bool_1:$o).
% 1.47/0.56  tff(finite_domain,axiom,
% 1.47/0.56        ! [X:$o] : (
% 1.47/0.56           X = fmb_bool_1
% 1.47/0.56        ) ).
% 1.47/0.56  
% 1.47/0.56  tff(declare_next,type,next: $i * $i > $o ).
% 1.47/0.56  tff(predicate_next,axiom,
% 1.47/0.56             ~next(e_1,e_1)
% 1.47/0.56           & next(e_1,e_2)
% 1.47/0.56           & next(e_1,e_3)
% 1.47/0.56           & ~next(e_1,e_4)
% 1.47/0.56           & next(e_1,e_5)
% 1.47/0.56           & ~next(e_2,e_1)
% 1.47/0.56           & ~next(e_2,e_2)
% 1.47/0.56           & next(e_2,e_3)
% 1.47/0.56           & next(e_2,e_4)
% 1.47/0.56           & next(e_2,e_5)
% 1.47/0.56           & ~next(e_3,e_1)
% 1.47/0.56           & ~next(e_3,e_2)
% 1.47/0.56           & next(e_3,e_3)
% 1.47/0.56           & next(e_3,e_4)
% 1.47/0.56           & next(e_3,e_5)
% 1.47/0.56           & ~next(e_4,e_1)
% 1.47/0.56           & ~next(e_4,e_2)
% 1.47/0.56           & ~next(e_4,e_3)
% 1.47/0.56           & ~next(e_4,e_4)
% 1.47/0.56           & next(e_4,e_5)
% 1.47/0.56           & ~next(e_5,e_1)
% 1.47/0.56           & ~next(e_5,e_2)
% 1.47/0.56           & ~next(e_5,e_3)
% 1.47/0.56           & ~next(e_5,e_4)
% 1.47/0.56           & ~next(e_5,e_5)
% 1.47/0.56  
% 1.47/0.56  ).
% 1.47/0.56  
% 1.47/0.56  tff(declare_greater,type,greater: $i * $i > $o ).
% 1.47/0.56  tff(predicate_greater,axiom,
% 1.47/0.56             greater(e_1,e_1)
% 1.47/0.56           & ~greater(e_1,e_2)
% 1.47/0.56           & ~greater(e_1,e_3)
% 1.47/0.56           & ~greater(e_1,e_4)
% 1.47/0.56           & ~greater(e_1,e_5)
% 1.47/0.56           & greater(e_2,e_1)
% 1.47/0.56           & greater(e_2,e_2)
% 1.47/0.56           & ~greater(e_2,e_3)
% 1.47/0.56           & ~greater(e_2,e_4)
% 1.47/0.56           & ~greater(e_2,e_5)
% 1.47/0.56           & greater(e_3,e_1)
% 1.47/0.56           & greater(e_3,e_2)
% 1.47/0.56           & ~greater(e_3,e_3)
% 1.47/0.56           & ~greater(e_3,e_4)
% 1.47/0.56           & ~greater(e_3,e_5)
% 1.47/0.56           & greater(e_4,e_1)
% 1.47/0.56           & greater(e_4,e_2)
% 1.47/0.56           & greater(e_4,e_3)
% 1.47/0.56           & ~greater(e_4,e_4)
% 1.47/0.56           & ~greater(e_4,e_5)
% 1.47/0.56           & greater(e_5,e_1)
% 1.47/0.56           & greater(e_5,e_2)
% 1.47/0.56           & greater(e_5,e_3)
% 1.47/0.56           & greater(e_5,e_4)
% 1.47/0.56           & ~greater(e_5,e_5)
% 1.47/0.56  
% 1.47/0.56  ).
% 1.47/0.56  
% 1.47/0.56  tff(declare_product,type,product: $i * $i * $i > $o ).
% 1.47/0.56  tff(predicate_product,axiom,
% 1.47/0.56             product(e_1,e_1,e_1)
% 1.47/0.56           & ~product(e_1,e_1,e_2)
% 1.47/0.56           & ~product(e_1,e_1,e_3)
% 1.47/0.56           & ~product(e_1,e_1,e_4)
% 1.47/0.56           & ~product(e_1,e_1,e_5)
% 1.47/0.56           & ~product(e_1,e_2,e_1)
% 1.47/0.56           & ~product(e_1,e_2,e_2)
% 1.47/0.56           & ~product(e_1,e_2,e_3)
% 1.47/0.56           & product(e_1,e_2,e_4)
% 1.47/0.56           & ~product(e_1,e_2,e_5)
% 1.47/0.56           & ~product(e_1,e_3,e_1)
% 1.47/0.56           & ~product(e_1,e_3,e_2)
% 1.47/0.56           & ~product(e_1,e_3,e_3)
% 1.47/0.56           & ~product(e_1,e_3,e_4)
% 1.47/0.56           & product(e_1,e_3,e_5)
% 1.47/0.56           & ~product(e_1,e_4,e_1)
% 1.47/0.56           & ~product(e_1,e_4,e_2)
% 1.47/0.56           & product(e_1,e_4,e_3)
% 1.47/0.56           & ~product(e_1,e_4,e_4)
% 1.47/0.56           & ~product(e_1,e_4,e_5)
% 1.47/0.56           & ~product(e_1,e_5,e_1)
% 1.47/0.56           & product(e_1,e_5,e_2)
% 1.47/0.56           & ~product(e_1,e_5,e_3)
% 1.47/0.56           & ~product(e_1,e_5,e_4)
% 1.47/0.56           & ~product(e_1,e_5,e_5)
% 1.47/0.56           & ~product(e_2,e_1,e_1)
% 1.47/0.56           & ~product(e_2,e_1,e_2)
% 1.47/0.56           & product(e_2,e_1,e_3)
% 1.47/0.56           & ~product(e_2,e_1,e_4)
% 1.47/0.56           & ~product(e_2,e_1,e_5)
% 1.47/0.56           & ~product(e_2,e_2,e_1)
% 1.47/0.56           & product(e_2,e_2,e_2)
% 1.47/0.56           & ~product(e_2,e_2,e_3)
% 1.47/0.56           & ~product(e_2,e_2,e_4)
% 1.47/0.56           & ~product(e_2,e_2,e_5)
% 1.47/0.56           & ~product(e_2,e_3,e_1)
% 1.47/0.56           & ~product(e_2,e_3,e_2)
% 1.47/0.56           & ~product(e_2,e_3,e_3)
% 1.47/0.56           & product(e_2,e_3,e_4)
% 1.47/0.56           & ~product(e_2,e_3,e_5)
% 1.47/0.56           & ~product(e_2,e_4,e_1)
% 1.47/0.56           & ~product(e_2,e_4,e_2)
% 1.47/0.56           & ~product(e_2,e_4,e_3)
% 1.47/0.56           & ~product(e_2,e_4,e_4)
% 1.47/0.56           & product(e_2,e_4,e_5)
% 1.47/0.56           & product(e_2,e_5,e_1)
% 1.47/0.56           & ~product(e_2,e_5,e_2)
% 1.47/0.56           & ~product(e_2,e_5,e_3)
% 1.47/0.56           & ~product(e_2,e_5,e_4)
% 1.47/0.56           & ~product(e_2,e_5,e_5)
% 1.47/0.56           & ~product(e_3,e_1,e_1)
% 1.47/0.56           & product(e_3,e_1,e_2)
% 1.47/0.56           & ~product(e_3,e_1,e_3)
% 1.47/0.56           & ~product(e_3,e_1,e_4)
% 1.47/0.56           & ~product(e_3,e_1,e_5)
% 1.47/0.56           & ~product(e_3,e_2,e_1)
% 1.47/0.56           & ~product(e_3,e_2,e_2)
% 1.47/0.56           & ~product(e_3,e_2,e_3)
% 1.47/0.56           & ~product(e_3,e_2,e_4)
% 1.47/0.56           & product(e_3,e_2,e_5)
% 1.47/0.56           & ~product(e_3,e_3,e_1)
% 1.47/0.56           & ~product(e_3,e_3,e_2)
% 1.47/0.56           & product(e_3,e_3,e_3)
% 1.47/0.56           & ~product(e_3,e_3,e_4)
% 1.47/0.56           & ~product(e_3,e_3,e_5)
% 1.47/0.56           & product(e_3,e_4,e_1)
% 1.47/0.56           & ~product(e_3,e_4,e_2)
% 1.47/0.56           & ~product(e_3,e_4,e_3)
% 1.47/0.56           & ~product(e_3,e_4,e_4)
% 1.47/0.56           & ~product(e_3,e_4,e_5)
% 1.47/0.56           & ~product(e_3,e_5,e_1)
% 1.47/0.56           & ~product(e_3,e_5,e_2)
% 1.47/0.56           & ~product(e_3,e_5,e_3)
% 1.47/0.56           & product(e_3,e_5,e_4)
% 1.47/0.56           & ~product(e_3,e_5,e_5)
% 1.47/0.56           & ~product(e_4,e_1,e_1)
% 1.47/0.56           & ~product(e_4,e_1,e_2)
% 1.47/0.56           & ~product(e_4,e_1,e_3)
% 1.47/0.56           & ~product(e_4,e_1,e_4)
% 1.47/0.56           & product(e_4,e_1,e_5)
% 1.47/0.56           & product(e_4,e_2,e_1)
% 1.47/0.56           & ~product(e_4,e_2,e_2)
% 1.47/0.56           & ~product(e_4,e_2,e_3)
% 1.47/0.56           & ~product(e_4,e_2,e_4)
% 1.47/0.56           & ~product(e_4,e_2,e_5)
% 1.47/0.56           & ~product(e_4,e_3,e_1)
% 1.47/0.56           & product(e_4,e_3,e_2)
% 1.47/0.56           & ~product(e_4,e_3,e_3)
% 1.47/0.56           & ~product(e_4,e_3,e_4)
% 1.47/0.56           & ~product(e_4,e_3,e_5)
% 1.47/0.56           & ~product(e_4,e_4,e_1)
% 1.47/0.56           & ~product(e_4,e_4,e_2)
% 1.47/0.56           & ~product(e_4,e_4,e_3)
% 1.47/0.56           & product(e_4,e_4,e_4)
% 1.47/0.56           & ~product(e_4,e_4,e_5)
% 1.47/0.56           & ~product(e_4,e_5,e_1)
% 1.47/0.56           & ~product(e_4,e_5,e_2)
% 1.47/0.56           & product(e_4,e_5,e_3)
% 1.47/0.56           & ~product(e_4,e_5,e_4)
% 1.47/0.56           & ~product(e_4,e_5,e_5)
% 1.47/0.56           & ~product(e_5,e_1,e_1)
% 1.47/0.56           & ~product(e_5,e_1,e_2)
% 1.47/0.56           & ~product(e_5,e_1,e_3)
% 1.47/0.56           & product(e_5,e_1,e_4)
% 1.47/0.56           & ~product(e_5,e_1,e_5)
% 1.47/0.56           & ~product(e_5,e_2,e_1)
% 1.47/0.56           & ~product(e_5,e_2,e_2)
% 1.47/0.56           & product(e_5,e_2,e_3)
% 1.47/0.56           & ~product(e_5,e_2,e_4)
% 1.47/0.56           & ~product(e_5,e_2,e_5)
% 1.47/0.56           & product(e_5,e_3,e_1)
% 1.47/0.56           & ~product(e_5,e_3,e_2)
% 1.47/0.56           & ~product(e_5,e_3,e_3)
% 1.47/0.56           & ~product(e_5,e_3,e_4)
% 1.47/0.56           & ~product(e_5,e_3,e_5)
% 1.47/0.56           & ~product(e_5,e_4,e_1)
% 1.47/0.56           & product(e_5,e_4,e_2)
% 1.47/0.56           & ~product(e_5,e_4,e_3)
% 1.47/0.56           & ~product(e_5,e_4,e_4)
% 1.47/0.56           & ~product(e_5,e_4,e_5)
% 1.47/0.56           & ~product(e_5,e_5,e_1)
% 1.47/0.56           & ~product(e_5,e_5,e_2)
% 1.47/0.56           & ~product(e_5,e_5,e_3)
% 1.47/0.56           & ~product(e_5,e_5,e_4)
% 1.47/0.56           & product(e_5,e_5,e_5)
% 1.47/0.56  
% 1.47/0.56  ).
% 1.47/0.56  
% 1.47/0.56  tff(declare_group_element,type,group_element: $i > $o ).
% 1.47/0.56  tff(predicate_group_element,axiom,
% 1.47/0.56             group_element(e_1)
% 1.47/0.56           & group_element(e_2)
% 1.47/0.56           & group_element(e_3)
% 1.47/0.56           & group_element(e_4)
% 1.47/0.56           & group_element(e_5)
% 1.47/0.56  
% 1.47/0.56  ).
% 1.47/0.56  
% 1.47/0.56  tff(declare_equalish,type,equalish: $i * $i > $o ).
% 1.47/0.56  tff(predicate_equalish,axiom,
% 1.47/0.56             equalish(e_1,e_1)
% 1.47/0.56           & ~equalish(e_1,e_2)
% 1.47/0.56           & ~equalish(e_1,e_3)
% 1.47/0.56           & ~equalish(e_1,e_4)
% 1.47/0.56           & ~equalish(e_1,e_5)
% 1.47/0.56           & ~equalish(e_2,e_1)
% 1.47/0.56           & equalish(e_2,e_2)
% 1.47/0.56           & ~equalish(e_2,e_3)
% 1.47/0.56           & ~equalish(e_2,e_4)
% 1.47/0.56           & ~equalish(e_2,e_5)
% 1.47/0.56           & ~equalish(e_3,e_1)
% 1.47/0.56           & ~equalish(e_3,e_2)
% 1.47/0.56           & equalish(e_3,e_3)
% 1.47/0.56           & ~equalish(e_3,e_4)
% 1.47/0.56           & ~equalish(e_3,e_5)
% 1.47/0.56           & ~equalish(e_4,e_1)
% 1.47/0.56           & ~equalish(e_4,e_2)
% 1.47/0.56           & ~equalish(e_4,e_3)
% 1.47/0.56           & equalish(e_4,e_4)
% 1.47/0.56           & ~equalish(e_4,e_5)
% 1.47/0.56           & ~equalish(e_5,e_1)
% 1.47/0.56           & ~equalish(e_5,e_2)
% 1.47/0.56           & ~equalish(e_5,e_3)
% 1.47/0.56           & ~equalish(e_5,e_4)
% 1.47/0.56           & equalish(e_5,e_5)
% 1.47/0.56  
% 1.47/0.56  ).
% 1.47/0.56  
% 1.47/0.56  % SZS output end FiniteModel for theBenchmark
% 1.47/0.56  % (30065)------------------------------
% 1.47/0.56  % (30065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (30065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (30065)Termination reason: Satisfiable
% 1.47/0.56  
% 1.47/0.56  % (30065)Memory used [KB]: 6524
% 1.47/0.56  % (30065)Time elapsed: 0.109 s
% 1.47/0.56  % (30065)Instructions burned: 44 (million)
% 1.47/0.56  % (30065)------------------------------
% 1.47/0.56  % (30065)------------------------------
% 1.47/0.56  % (30058)Success in time 0.194 s
%------------------------------------------------------------------------------