TSTP Solution File: BOO056-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : BOO056-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 : Mon May 20 18:58:58 EDT 2024

% Result   : Satisfiable 1.52s 0.58s
% Output   : FiniteModel 1.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : BOO056-10 : TPTP v8.2.0. Released v7.3.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 14:31:07 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (7490)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (7494)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (7493)WARNING: value z3 for option sas not known
% 0.14/0.38  % (7492)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (7491)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (7496)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  % (7495)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  % (7493)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  % (7497)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  TRYING [3]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3]
% 0.14/0.40  TRYING [4]
% 0.14/0.42  TRYING [5]
% 1.52/0.58  Finite Model Found!
% 1.52/0.58  % SZS status Satisfiable for theBenchmark
% 1.52/0.58  % (7494)First to succeed.
% 1.52/0.58  % (7494)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7490"
% 1.52/0.58  % SZS output start FiniteModel for theBenchmark
% 1.52/0.58  tff(declare_$i,type,$i:$tType).
% 1.52/0.58  tff(declare_$i1,type,a:$i).
% 1.52/0.58  tff(declare_$i2,type,b:$i).
% 1.52/0.58  tff(declare_$i3,type,fmb_$i_3:$i).
% 1.52/0.58  tff(declare_$i4,type,fmb_$i_4:$i).
% 1.52/0.58  tff(declare_$i5,type,fmb_$i_5:$i).
% 1.52/0.58  tff(finite_domain,axiom,
% 1.52/0.58        ! [X:$i] : (
% 1.52/0.58           X = a | X = b | X = fmb_$i_3 | X = fmb_$i_4 | X = fmb_$i_5
% 1.52/0.58        ) ).
% 1.52/0.58  
% 1.52/0.58  tff(distinct_domain,axiom,
% 1.52/0.58           a != b & a != fmb_$i_3 & a != fmb_$i_4 & a != fmb_$i_5 & b != fmb_$i_3 & 
% 1.52/0.58           b != fmb_$i_4 & b != fmb_$i_5 & fmb_$i_3 != fmb_$i_4 & fmb_$i_3 != fmb_$i_5 & fmb_$i_4 != fmb_$i_5
% 1.52/0.58  ).
% 1.52/0.58  
% 1.52/0.58  tff(declare_bool,type,$o:$tType).
% 1.52/0.58  tff(declare_bool1,type,fmb_bool_1:$o).
% 1.52/0.58  tff(finite_domain,axiom,
% 1.52/0.58        ! [X:$o] : (
% 1.52/0.58           X = fmb_bool_1
% 1.52/0.58        ) ).
% 1.52/0.58  
% 1.52/0.58  tff(declare_c,type,c:$i).
% 1.52/0.58  tff(c_definition,axiom,c = b).
% 1.52/0.58  tff(declare_nand,type,nand: $i * $i > $i).
% 1.52/0.58  tff(function_nand,axiom,
% 1.52/0.58             nand(a,a) = a
% 1.52/0.58           & nand(a,b) = fmb_$i_3
% 1.52/0.58           & nand(a,fmb_$i_3) = fmb_$i_5
% 1.52/0.58           & nand(a,fmb_$i_4) = b
% 1.52/0.58           & nand(a,fmb_$i_5) = fmb_$i_4
% 1.52/0.58           & nand(b,a) = fmb_$i_5
% 1.52/0.58           & nand(b,b) = b
% 1.52/0.58           & nand(b,fmb_$i_3) = fmb_$i_4
% 1.52/0.58           & nand(b,fmb_$i_4) = a
% 1.52/0.58           & nand(b,fmb_$i_5) = fmb_$i_3
% 1.52/0.58           & nand(fmb_$i_3,a) = fmb_$i_4
% 1.52/0.58           & nand(fmb_$i_3,b) = a
% 1.52/0.58           & nand(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 1.52/0.58           & nand(fmb_$i_3,fmb_$i_4) = fmb_$i_5
% 1.52/0.58           & nand(fmb_$i_3,fmb_$i_5) = b
% 1.52/0.58           & nand(fmb_$i_4,a) = fmb_$i_3
% 1.52/0.58           & nand(fmb_$i_4,b) = fmb_$i_5
% 1.52/0.58           & nand(fmb_$i_4,fmb_$i_3) = b
% 1.52/0.58           & nand(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 1.52/0.58           & nand(fmb_$i_4,fmb_$i_5) = a
% 1.52/0.58           & nand(fmb_$i_5,a) = b
% 1.52/0.58           & nand(fmb_$i_5,b) = fmb_$i_4
% 1.52/0.58           & nand(fmb_$i_5,fmb_$i_3) = a
% 1.52/0.58           & nand(fmb_$i_5,fmb_$i_4) = fmb_$i_3
% 1.52/0.58           & nand(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 1.52/0.58  
% 1.52/0.58  ).
% 1.52/0.58  
% 1.52/0.58  tff(declare_tuple,type,tuple: $i * $i > $i).
% 1.52/0.58  tff(function_tuple,axiom,
% 1.52/0.58             tuple(a,a) = a
% 1.52/0.58           & tuple(a,b) = a
% 1.52/0.58           & tuple(a,fmb_$i_3) = a
% 1.52/0.58           & tuple(a,fmb_$i_4) = a
% 1.52/0.58           & tuple(a,fmb_$i_5) = a
% 1.52/0.58           & tuple(b,a) = a
% 1.52/0.58           & tuple(b,b) = a
% 1.52/0.58           & tuple(b,fmb_$i_3) = a
% 1.52/0.58           & tuple(b,fmb_$i_4) = a
% 1.52/0.58           & tuple(b,fmb_$i_5) = a
% 1.52/0.58           & tuple(fmb_$i_3,a) = b
% 1.52/0.58           & tuple(fmb_$i_3,b) = a
% 1.52/0.58           & tuple(fmb_$i_3,fmb_$i_3) = a
% 1.52/0.58           & tuple(fmb_$i_3,fmb_$i_4) = a
% 1.52/0.58           & tuple(fmb_$i_3,fmb_$i_5) = a
% 1.52/0.58           & tuple(fmb_$i_4,a) = b
% 1.52/0.58           & tuple(fmb_$i_4,b) = a
% 1.52/0.58           & tuple(fmb_$i_4,fmb_$i_3) = a
% 1.52/0.58           & tuple(fmb_$i_4,fmb_$i_4) = a
% 1.52/0.58           & tuple(fmb_$i_4,fmb_$i_5) = a
% 1.52/0.58           & tuple(fmb_$i_5,a) = b
% 1.52/0.58           & tuple(fmb_$i_5,b) = a
% 1.52/0.58           & tuple(fmb_$i_5,fmb_$i_3) = a
% 1.52/0.58           & tuple(fmb_$i_5,fmb_$i_4) = a
% 1.52/0.58           & tuple(fmb_$i_5,fmb_$i_5) = a
% 1.52/0.58  
% 1.52/0.58  ).
% 1.52/0.58  
% 1.52/0.58  % SZS output end FiniteModel for theBenchmark
% 1.52/0.58  % (7494)------------------------------
% 1.52/0.58  % (7494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.58  % (7494)Termination reason: Satisfiable
% 1.52/0.58  
% 1.52/0.58  % (7494)Memory used [KB]: 1211
% 1.52/0.58  % (7494)Time elapsed: 0.204 s
% 1.52/0.58  % (7494)Instructions burned: 430 (million)
% 1.52/0.58  % (7490)Success in time 0.207 s
%------------------------------------------------------------------------------