TSTP Solution File: LCL165-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL165-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Tue Apr 30 13:40:41 EDT 2024

% Result   : Satisfiable 0.21s 0.48s
% Output   : FiniteModel 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL165-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Apr 29 22:52:56 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (12830)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (12833)WARNING: value z3 for option sas not known
% 0.14/0.38  % (12831)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (12834)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (12835)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)
% 0.14/0.38  % (12836)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)
% 0.14/0.38  % (12837)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)
% 0.14/0.38  % (12833)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)
% 0.14/0.38  % (12832)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.40  TRYING [3]
% 0.21/0.42  TRYING [4]
% 0.21/0.44  TRYING [4]
% 0.21/0.48  Finite Model Found!
% 0.21/0.48  % SZS status Satisfiable for theBenchmark
% 0.21/0.48  % (12834)First to succeed.
% 0.21/0.48  % SZS output start FiniteModel for theBenchmark
% 0.21/0.48  tff(declare_$i,type,$i:$tType).
% 0.21/0.48  tff(declare_$i1,type,truth:$i).
% 0.21/0.48  tff(declare_$i2,type,x:$i).
% 0.21/0.48  tff(declare_$i3,type,fmb_$i_3:$i).
% 0.21/0.48  tff(declare_$i4,type,fmb_$i_4:$i).
% 0.21/0.48  tff(finite_domain,axiom,
% 0.21/0.48        ! [X:$i] : (
% 0.21/0.48           X = truth | X = x | X = fmb_$i_3 | X = fmb_$i_4
% 0.21/0.48        ) ).
% 0.21/0.48  
% 0.21/0.48  tff(distinct_domain,axiom,
% 0.21/0.48           truth != x & truth != fmb_$i_3 & truth != fmb_$i_4 & x != fmb_$i_3 & x != fmb_$i_4 & 
% 0.21/0.48           fmb_$i_3 != fmb_$i_4
% 0.21/0.48  ).
% 0.21/0.48  
% 0.21/0.48  tff(declare_bool,type,$o:$tType).
% 0.21/0.48  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.21/0.48  tff(finite_domain,axiom,
% 0.21/0.48        ! [X:$o] : (
% 0.21/0.48           X = fmb_bool_1
% 0.21/0.48        ) ).
% 0.21/0.48  
% 0.21/0.48  tff(declare_implies,type,implies: $i * $i > $i).
% 0.21/0.48  tff(function_implies,axiom,
% 0.21/0.48             implies(truth,truth) = truth
% 0.21/0.48           & implies(truth,x) = x
% 0.21/0.48           & implies(truth,fmb_$i_3) = fmb_$i_3
% 0.21/0.48           & implies(truth,fmb_$i_4) = fmb_$i_4
% 0.21/0.48           & implies(x,truth) = truth
% 0.21/0.48           & implies(x,x) = truth
% 0.21/0.48           & implies(x,fmb_$i_3) = truth
% 0.21/0.48           & implies(x,fmb_$i_4) = fmb_$i_3
% 0.21/0.48           & implies(fmb_$i_3,truth) = truth
% 0.21/0.48           & implies(fmb_$i_3,x) = fmb_$i_3
% 0.21/0.48           & implies(fmb_$i_3,fmb_$i_3) = truth
% 0.21/0.48           & implies(fmb_$i_3,fmb_$i_4) = x
% 0.21/0.48           & implies(fmb_$i_4,truth) = truth
% 0.21/0.48           & implies(fmb_$i_4,x) = truth
% 0.21/0.48           & implies(fmb_$i_4,fmb_$i_3) = truth
% 0.21/0.48           & implies(fmb_$i_4,fmb_$i_4) = truth
% 0.21/0.48  
% 0.21/0.48  ).
% 0.21/0.48  
% 0.21/0.48  tff(declare_not,type,not: $i > $i).
% 0.21/0.48  tff(function_not,axiom,
% 0.21/0.48             not(truth) = fmb_$i_4
% 0.21/0.48           & not(x) = fmb_$i_3
% 0.21/0.48           & not(fmb_$i_3) = x
% 0.21/0.48           & not(fmb_$i_4) = truth
% 0.21/0.48  
% 0.21/0.48  ).
% 0.21/0.48  
% 0.21/0.48  % SZS output end FiniteModel for theBenchmark
% 0.21/0.48  % (12834)------------------------------
% 0.21/0.48  % (12834)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.48  % (12834)Termination reason: Satisfiable
% 0.21/0.48  
% 0.21/0.48  % (12834)Memory used [KB]: 1563
% 0.21/0.48  % (12834)Time elapsed: 0.095 s
% 0.21/0.48  % (12834)Instructions burned: 213 (million)
% 0.21/0.48  % (12834)------------------------------
% 0.21/0.48  % (12834)------------------------------
% 0.21/0.48  % (12830)Success in time 0.111 s
%------------------------------------------------------------------------------