TSTP Solution File: SWW404-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW404-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Sun May  5 11:38:09 EDT 2024

% Result   : Satisfiable 1.67s 0.58s
% Output   : FiniteModel 1.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW404-1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:24:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (15742)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (15746)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.37  Detected minimum model sizes of [3]
% 0.22/0.37  Detected maximum model sizes of [max]
% 0.22/0.37  TRYING [3]
% 0.22/0.37  % (15745)WARNING: value z3 for option sas not known
% 0.22/0.37  % (15743)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37  % (15744)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.37  % (15745)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.37  % (15747)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.37  % (15748)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.37  % (15749)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38  TRYING [4]
% 0.22/0.38  Detected minimum model sizes of [3]
% 0.22/0.38  Detected maximum model sizes of [max]
% 0.22/0.39  TRYING [3]
% 0.22/0.44  TRYING [5]
% 0.22/0.46  TRYING [4]
% 1.67/0.58  Finite Model Found!
% 1.67/0.58  % SZS status Satisfiable for theBenchmark
% 1.67/0.58  % (15746)First to succeed.
% 1.67/0.58  % (15746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15742"
% 1.67/0.59  % SZS output start FiniteModel for theBenchmark
% 1.67/0.59  tff(declare_$i,type,$i:$tType).
% 1.67/0.59  tff(declare_$i1,type,nil:$i).
% 1.67/0.59  tff(declare_$i2,type,x1:$i).
% 1.67/0.59  tff(declare_$i3,type,x2:$i).
% 1.67/0.59  tff(declare_$i4,type,fmb_$i_4:$i).
% 1.67/0.59  tff(declare_$i5,type,fmb_$i_5:$i).
% 1.67/0.59  tff(finite_domain,axiom,
% 1.67/0.59        ! [X:$i] : (
% 1.67/0.59           X = nil | X = x1 | X = x2 | X = fmb_$i_4 | X = fmb_$i_5
% 1.67/0.59        ) ).
% 1.67/0.59  
% 1.67/0.59  tff(distinct_domain,axiom,
% 1.67/0.59           nil != x1 & nil != x2 & nil != fmb_$i_4 & nil != fmb_$i_5 & x1 != x2 & 
% 1.67/0.59           x1 != fmb_$i_4 & x1 != fmb_$i_5 & x2 != fmb_$i_4 & x2 != fmb_$i_5 & fmb_$i_4 != fmb_$i_5
% 1.67/0.59  ).
% 1.67/0.59  
% 1.67/0.59  tff(declare_bool,type,$o:$tType).
% 1.67/0.59  tff(declare_bool1,type,fmb_bool_1:$o).
% 1.67/0.59  tff(finite_domain,axiom,
% 1.67/0.59        ! [X:$o] : (
% 1.67/0.59           X = fmb_bool_1
% 1.67/0.59        ) ).
% 1.67/0.59  
% 1.67/0.59  tff(declare_x3,type,x3:$i).
% 1.67/0.59  tff(x3_definition,axiom,x3 = x2).
% 1.67/0.59  tff(declare_emp,type,emp:$i).
% 1.67/0.59  tff(emp_definition,axiom,emp = nil).
% 1.67/0.59  tff(declare_x4,type,x4:$i).
% 1.67/0.59  tff(x4_definition,axiom,x4 = x2).
% 1.67/0.59  tff(declare_sep,type,sep: $i * $i > $i).
% 1.67/0.59  tff(function_sep,axiom,
% 1.67/0.59             sep(nil,nil) = nil
% 1.67/0.59           & sep(nil,x1) = x1
% 1.67/0.59           & sep(nil,x2) = x2
% 1.67/0.59           & sep(nil,fmb_$i_4) = fmb_$i_4
% 1.67/0.59           & sep(nil,fmb_$i_5) = fmb_$i_5
% 1.67/0.59           & sep(x1,nil) = x1
% 1.67/0.59           & sep(x1,x1) = fmb_$i_5
% 1.67/0.59           & sep(x1,x2) = fmb_$i_5
% 1.67/0.59           & sep(x1,fmb_$i_4) = x2
% 1.67/0.59           & sep(x1,fmb_$i_5) = fmb_$i_5
% 1.67/0.59           & sep(x2,nil) = fmb_$i_4
% 1.67/0.59           & sep(x2,x1) = x2
% 1.67/0.59           & sep(x2,x2) = fmb_$i_5
% 1.67/0.59           & sep(x2,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & sep(x2,fmb_$i_5) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_4,nil) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_4,x1) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_4,x2) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_4,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_5,nil) = x2
% 1.67/0.59           & sep(fmb_$i_5,x1) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_5,x2) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & sep(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 1.67/0.59  
% 1.67/0.59  ).
% 1.67/0.59  
% 1.67/0.59  tff(declare_lseg,type,lseg: $i * $i > $i).
% 1.67/0.59  tff(function_lseg,axiom,
% 1.67/0.59             lseg(nil,nil) = nil
% 1.67/0.59           & lseg(nil,x1) = fmb_$i_4
% 1.67/0.59           & lseg(nil,x2) = fmb_$i_4
% 1.67/0.59           & lseg(nil,fmb_$i_4) = fmb_$i_4
% 1.67/0.59           & lseg(nil,fmb_$i_5) = fmb_$i_4
% 1.67/0.59           & lseg(x1,nil) = fmb_$i_5
% 1.67/0.59           & lseg(x1,x1) = nil
% 1.67/0.59           & lseg(x1,x2) = x2
% 1.67/0.59           & lseg(x1,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & lseg(x1,fmb_$i_5) = fmb_$i_5
% 1.67/0.59           & lseg(x2,nil) = x1
% 1.67/0.59           & lseg(x2,x1) = x1
% 1.67/0.59           & lseg(x2,x2) = nil
% 1.67/0.59           & lseg(x2,fmb_$i_4) = x1
% 1.67/0.59           & lseg(x2,fmb_$i_5) = x1
% 1.67/0.59           & lseg(fmb_$i_4,nil) = fmb_$i_4
% 1.67/0.59           & lseg(fmb_$i_4,x1) = fmb_$i_4
% 1.67/0.59           & lseg(fmb_$i_4,x2) = fmb_$i_4
% 1.67/0.59           & lseg(fmb_$i_4,fmb_$i_4) = nil
% 1.67/0.59           & lseg(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 1.67/0.59           & lseg(fmb_$i_5,nil) = fmb_$i_5
% 1.67/0.59           & lseg(fmb_$i_5,x1) = fmb_$i_5
% 1.67/0.59           & lseg(fmb_$i_5,x2) = fmb_$i_5
% 1.67/0.59           & lseg(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & lseg(fmb_$i_5,fmb_$i_5) = nil
% 1.67/0.59  
% 1.67/0.59  ).
% 1.67/0.59  
% 1.67/0.59  tff(declare_next,type,next: $i * $i > $i).
% 1.67/0.59  tff(function_next,axiom,
% 1.67/0.59             next(nil,nil) = fmb_$i_4
% 1.67/0.59           & next(nil,x1) = fmb_$i_4
% 1.67/0.59           & next(nil,x2) = fmb_$i_4
% 1.67/0.59           & next(nil,fmb_$i_4) = fmb_$i_4
% 1.67/0.59           & next(nil,fmb_$i_5) = fmb_$i_4
% 1.67/0.59           & next(x1,nil) = fmb_$i_5
% 1.67/0.59           & next(x1,x1) = fmb_$i_5
% 1.67/0.59           & next(x1,x2) = x2
% 1.67/0.59           & next(x1,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & next(x1,fmb_$i_5) = fmb_$i_5
% 1.67/0.59           & next(x2,nil) = x1
% 1.67/0.59           & next(x2,x1) = x1
% 1.67/0.59           & next(x2,x2) = x1
% 1.67/0.59           & next(x2,fmb_$i_4) = x1
% 1.67/0.59           & next(x2,fmb_$i_5) = x1
% 1.67/0.59           & next(fmb_$i_4,nil) = fmb_$i_4
% 1.67/0.59           & next(fmb_$i_4,x1) = fmb_$i_4
% 1.67/0.59           & next(fmb_$i_4,x2) = fmb_$i_4
% 1.67/0.59           & next(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 1.67/0.59           & next(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 1.67/0.59           & next(fmb_$i_5,nil) = fmb_$i_5
% 1.67/0.59           & next(fmb_$i_5,x1) = fmb_$i_5
% 1.67/0.59           & next(fmb_$i_5,x2) = fmb_$i_5
% 1.67/0.59           & next(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 1.67/0.59           & next(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 1.67/0.59  
% 1.67/0.59  ).
% 1.67/0.59  
% 1.67/0.59  tff(declare_heap,type,heap: $i > $o ).
% 1.67/0.59  tff(predicate_heap,axiom,
% 1.67/0.59             heap(nil)
% 1.67/0.59           & ~heap(x1)
% 1.67/0.59           & heap(x2)
% 1.67/0.59           & ~heap(fmb_$i_4)
% 1.67/0.59           & ~heap(fmb_$i_5)
% 1.67/0.59  
% 1.67/0.59  ).
% 1.67/0.59  
% 1.67/0.59  % SZS output end FiniteModel for theBenchmark
% 1.67/0.59  % (15746)------------------------------
% 1.67/0.59  % (15746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.59  % (15746)Termination reason: Satisfiable
% 1.67/0.59  
% 1.67/0.59  % (15746)Memory used [KB]: 3551
% 1.67/0.59  % (15746)Time elapsed: 0.218 s
% 1.67/0.59  % (15746)Instructions burned: 710 (million)
% 1.67/0.59  % (15742)Success in time 0.215 s
%------------------------------------------------------------------------------