TSTP Solution File: KRS008-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS008-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n001.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 17:30:35 EDT 2022

% Result   : Satisfiable 1.31s 0.52s
% Output   : FiniteModel 1.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KRS008-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 00:54:00 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (24502)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)
% 0.20/0.50  % (24494)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  % (24486)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)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 1.31/0.52  TRYING [3]
% 1.31/0.52  % (24508)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.52  % (24483)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)
% 1.31/0.52  % (24509)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)
% 1.31/0.52  Finite Model Found!
% 1.31/0.52  % SZS status Satisfiable for theBenchmark
% 1.31/0.52  % (24486)First to succeed.
% 1.31/0.52  % (24489)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)
% 1.31/0.52  % (24485)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)
% 1.31/0.52  % (24480)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)
% 1.31/0.52  % (24481)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)
% 1.31/0.52  % (24484)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53  % SZS output start FiniteModel for theBenchmark
% 1.31/0.53  tff(declare_$i,type,$i:$tType).
% 1.31/0.53  tff(declare_$i1,type,exist:$i).
% 1.31/0.53  tff(declare_$i2,type,fmb_$i_2:$i).
% 1.31/0.53  tff(declare_$i3,type,fmb_$i_3:$i).
% 1.31/0.53  tff(finite_domain,axiom,
% 1.31/0.53        ! [X:$i] : (
% 1.31/0.53           X = exist | X = fmb_$i_2 | X = fmb_$i_3
% 1.31/0.53        ) ).
% 1.31/0.53  
% 1.31/0.53  tff(distinct_domain,axiom,
% 1.31/0.53           exist != fmb_$i_2 & exist != fmb_$i_3 & fmb_$i_2 != fmb_$i_3
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_bool,type,$o:$tType).
% 1.31/0.53  tff(declare_bool1,type,fmb_bool_1:$o).
% 1.31/0.53  tff(finite_domain,axiom,
% 1.31/0.53        ! [X:$o] : (
% 1.31/0.53           X = fmb_bool_1
% 1.31/0.53        ) ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u1r2,type,u1r2: $i > $i).
% 1.31/0.53  tff(function_u1r2,axiom,
% 1.31/0.53             u1r2(exist) = fmb_$i_2
% 1.31/0.53           & u1r2(fmb_$i_2) = exist
% 1.31/0.53           & u1r2(fmb_$i_3) = exist
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u1r1,type,u1r1: $i > $i).
% 1.31/0.53  tff(function_u1r1,axiom,
% 1.31/0.53             u1r1(exist) = fmb_$i_2
% 1.31/0.53           & u1r1(fmb_$i_2) = fmb_$i_2
% 1.31/0.53           & u1r1(fmb_$i_3) = fmb_$i_3
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u3r2,type,u3r2: $i > $i).
% 1.31/0.53  tff(function_u3r2,axiom,
% 1.31/0.53             u3r2(exist) = fmb_$i_2
% 1.31/0.53           & u3r2(fmb_$i_2) = exist
% 1.31/0.53           & u3r2(fmb_$i_3) = fmb_$i_3
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u3r1,type,u3r1: $i > $i).
% 1.31/0.53  tff(function_u3r1,axiom,
% 1.31/0.53             u3r1(exist) = fmb_$i_3
% 1.31/0.53           & u3r1(fmb_$i_2) = fmb_$i_2
% 1.31/0.53           & u3r1(fmb_$i_3) = exist
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u4r2,type,u4r2: $i > $i).
% 1.31/0.53  tff(function_u4r2,axiom,
% 1.31/0.53             u4r2(exist) = exist
% 1.31/0.53  %         u4r2(fmb_$i_2) undefined in model
% 1.31/0.53  %         u4r2(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u4r1,type,u4r1: $i > $i).
% 1.31/0.53  tff(function_u4r1,axiom,
% 1.31/0.53             u4r1(exist) = fmb_$i_2
% 1.31/0.53  %         u4r1(fmb_$i_2) undefined in model
% 1.31/0.53  %         u4r1(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u5r2,type,u5r2: $i > $i).
% 1.31/0.53  tff(function_u5r2,axiom,
% 1.31/0.53             u5r2(exist) = fmb_$i_2
% 1.31/0.53  %         u5r2(fmb_$i_2) undefined in model
% 1.31/0.53  %         u5r2(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u5r1,type,u5r1: $i > $i).
% 1.31/0.53  tff(function_u5r1,axiom,
% 1.31/0.53             u5r1(exist) = exist
% 1.31/0.53  %         u5r1(fmb_$i_2) undefined in model
% 1.31/0.53  %         u5r1(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u5r3,type,u5r3: $i > $i).
% 1.31/0.53  tff(function_u5r3,axiom,
% 1.31/0.53             u5r3(exist) = exist
% 1.31/0.53  %         u5r3(fmb_$i_2) undefined in model
% 1.31/0.53  %         u5r3(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u6r2,type,u6r2: $i > $i).
% 1.31/0.53  tff(function_u6r2,axiom,
% 1.31/0.53             u6r2(exist) = fmb_$i_2
% 1.31/0.53  %         u6r2(fmb_$i_2) undefined in model
% 1.31/0.53  %         u6r2(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u6r1,type,u6r1: $i > $i).
% 1.31/0.53  tff(function_u6r1,axiom,
% 1.31/0.53             u6r1(exist) = exist
% 1.31/0.53  %         u6r1(fmb_$i_2) undefined in model
% 1.31/0.53  %         u6r1(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u6r4,type,u6r4: $i > $i).
% 1.31/0.53  tff(function_u6r4,axiom,
% 1.31/0.53             u6r4(exist) = exist
% 1.31/0.53  %         u6r4(fmb_$i_2) undefined in model
% 1.31/0.53  %         u6r4(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_u6r3,type,u6r3: $i > $i).
% 1.31/0.53  tff(function_u6r3,axiom,
% 1.31/0.53             u6r3(exist) = fmb_$i_3
% 1.31/0.53  %         u6r3(fmb_$i_2) undefined in model
% 1.31/0.53  %         u6r3(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_e,type,e: $i > $o ).
% 1.31/0.53  tff(predicate_e,axiom,
% 1.31/0.53             e(exist)
% 1.31/0.53  %         e(fmb_$i_2) undefined in model
% 1.31/0.53  %         e(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_f,type,f: $i > $o ).
% 1.31/0.53  tff(predicate_f,axiom,
% 1.31/0.53             ~f(exist)
% 1.31/0.53  %         f(fmb_$i_2) undefined in model
% 1.31/0.53  %         f(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_s2least,type,s2least: $i > $o ).
% 1.31/0.53  tff(predicate_s2least,axiom,
% 1.31/0.53             ~s2least(exist)
% 1.31/0.53           & s2least(fmb_$i_2)
% 1.31/0.53           & ~s2least(fmb_$i_3)
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_c,type,c: $i > $o ).
% 1.31/0.53  tff(predicate_c,axiom,
% 1.31/0.53             ~c(exist)
% 1.31/0.53           & c(fmb_$i_2)
% 1.31/0.53           & ~c(fmb_$i_3)
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_equalish,type,equalish: $i * $i > $o ).
% 1.31/0.53  tff(predicate_equalish,axiom,
% 1.31/0.53             equalish(exist,exist)
% 1.31/0.53           & ~equalish(exist,fmb_$i_2)
% 1.31/0.53           & ~equalish(exist,fmb_$i_3)
% 1.31/0.53           & equalish(fmb_$i_2,exist)
% 1.31/0.53           & equalish(fmb_$i_2,fmb_$i_2)
% 1.31/0.53           & equalish(fmb_$i_2,fmb_$i_3)
% 1.31/0.53           & ~equalish(fmb_$i_3,exist)
% 1.31/0.53           & equalish(fmb_$i_3,fmb_$i_2)
% 1.31/0.53           & equalish(fmb_$i_3,fmb_$i_3)
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_s,type,s: $i * $i > $o ).
% 1.31/0.53  tff(predicate_s,axiom,
% 1.31/0.53             ~s(exist,exist)
% 1.31/0.53           & ~s(exist,fmb_$i_2)
% 1.31/0.53           & s(exist,fmb_$i_3)
% 1.31/0.53           & s(fmb_$i_2,exist)
% 1.31/0.53           & s(fmb_$i_2,fmb_$i_2)
% 1.31/0.53           & ~s(fmb_$i_2,fmb_$i_3)
% 1.31/0.53           & ~s(fmb_$i_3,exist)
% 1.31/0.53           & ~s(fmb_$i_3,fmb_$i_2)
% 1.31/0.53           & s(fmb_$i_3,fmb_$i_3)
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_s1most,type,s1most: $i > $o ).
% 1.31/0.53  tff(predicate_s1most,axiom,
% 1.31/0.53             s1most(exist)
% 1.31/0.53           & ~s1most(fmb_$i_2)
% 1.31/0.53           & s1most(fmb_$i_3)
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_d,type,d: $i > $o ).
% 1.31/0.53  tff(predicate_d,axiom,
% 1.31/0.53             d(exist)
% 1.31/0.53           & ~d(fmb_$i_2)
% 1.31/0.53           & d(fmb_$i_3)
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_r,type,r: $i * $i > $o ).
% 1.31/0.53  tff(predicate_r,axiom,
% 1.31/0.53             r(exist,exist)
% 1.31/0.53           & r(exist,fmb_$i_2)
% 1.31/0.53           & r(exist,fmb_$i_3)
% 1.31/0.53  %         r(fmb_$i_2,exist) undefined in model
% 1.31/0.53  %         r(fmb_$i_2,fmb_$i_2) undefined in model
% 1.31/0.53  %         r(fmb_$i_2,fmb_$i_3) undefined in model
% 1.31/0.53  %         r(fmb_$i_3,exist) undefined in model
% 1.31/0.53  %         r(fmb_$i_3,fmb_$i_2) undefined in model
% 1.31/0.53  %         r(fmb_$i_3,fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  tff(declare_r2most,type,r2most: $i > $o ).
% 1.31/0.53  tff(predicate_r2most,axiom,
% 1.31/0.53             r2most(exist)
% 1.31/0.53  %         r2most(fmb_$i_2) undefined in model
% 1.31/0.53  %         r2most(fmb_$i_3) undefined in model
% 1.31/0.53  
% 1.31/0.53  ).
% 1.31/0.53  
% 1.31/0.53  % SZS output end FiniteModel for theBenchmark
% 1.31/0.53  % (24486)------------------------------
% 1.31/0.53  % (24486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (24486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (24486)Termination reason: Satisfiable
% 1.31/0.53  
% 1.31/0.53  % (24486)Memory used [KB]: 5628
% 1.31/0.53  % (24486)Time elapsed: 0.082 s
% 1.31/0.53  % (24486)Instructions burned: 14 (million)
% 1.31/0.53  % (24486)------------------------------
% 1.31/0.53  % (24486)------------------------------
% 1.31/0.53  % (24479)Success in time 0.178 s
%------------------------------------------------------------------------------