TSTP Solution File: GRP024-4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP024-4 : 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 : 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 : Sun May  5 05:52:21 EDT 2024

% Result   : Satisfiable 0.21s 0.49s
% Output   : FiniteModel 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP024-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n017.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:37:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (29805)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (29808)WARNING: value z3 for option sas not known
% 0.14/0.37  % (29807)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (29809)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (29806)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (29808)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)
% 0.14/0.37  % (29810)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)
% 0.14/0.37  % (29811)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)
% 0.14/0.37  % (29812)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3]
% 0.14/0.39  TRYING [5]
% 0.14/0.40  TRYING [4]
% 0.21/0.43  TRYING [6]
% 0.21/0.49  Finite Model Found!
% 0.21/0.49  % SZS status Satisfiable for theBenchmark
% 0.21/0.49  % (29809)First to succeed.
% 0.21/0.49  % (29809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29805"
% 0.21/0.49  % SZS output start FiniteModel for theBenchmark
% 0.21/0.49  tff(declare_$i,type,$i:$tType).
% 0.21/0.49  tff(declare_$i1,type,identity:$i).
% 0.21/0.49  tff(declare_$i2,type,a:$i).
% 0.21/0.49  tff(declare_$i3,type,b:$i).
% 0.21/0.49  tff(declare_$i4,type,c:$i).
% 0.21/0.49  tff(declare_$i5,type,e:$i).
% 0.21/0.49  tff(declare_$i6,type,fmb_$i_6:$i).
% 0.21/0.49  tff(finite_domain,axiom,
% 0.21/0.49        ! [X:$i] : (
% 0.21/0.49           X = identity | X = a | X = b | X = c | X = e | 
% 0.21/0.49           X = fmb_$i_6
% 0.21/0.49        ) ).
% 0.21/0.49  
% 0.21/0.49  tff(distinct_domain,axiom,
% 0.21/0.49           identity != a & identity != b & identity != c & identity != e & identity != fmb_$i_6 & 
% 0.21/0.49           a != b & a != c & a != e & a != fmb_$i_6 & b != c & 
% 0.21/0.49           b != e & b != fmb_$i_6 & c != e & c != fmb_$i_6 & e != fmb_$i_6
% 0.21/0.49  ).
% 0.21/0.49  
% 0.21/0.49  tff(declare_bool,type,$o:$tType).
% 0.21/0.49  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.21/0.49  tff(finite_domain,axiom,
% 0.21/0.49        ! [X:$o] : (
% 0.21/0.49           X = fmb_bool_1
% 0.21/0.49        ) ).
% 0.21/0.49  
% 0.21/0.49  tff(declare_f,type,f:$i).
% 0.21/0.49  tff(f_definition,axiom,f = c).
% 0.21/0.49  tff(declare_g,type,g:$i).
% 0.21/0.49  tff(g_definition,axiom,g = identity).
% 0.21/0.49  tff(declare_multiply,type,multiply: $i * $i > $i).
% 0.21/0.49  tff(function_multiply,axiom,
% 0.21/0.49             multiply(identity,identity) = identity
% 0.21/0.49           & multiply(identity,a) = a
% 0.21/0.49           & multiply(identity,b) = b
% 0.21/0.49           & multiply(identity,c) = c
% 0.21/0.49           & multiply(identity,e) = e
% 0.21/0.49           & multiply(identity,fmb_$i_6) = fmb_$i_6
% 0.21/0.49           & multiply(a,identity) = a
% 0.21/0.49           & multiply(a,a) = fmb_$i_6
% 0.21/0.49           & multiply(a,b) = e
% 0.21/0.49           & multiply(a,c) = b
% 0.21/0.49           & multiply(a,e) = c
% 0.21/0.49           & multiply(a,fmb_$i_6) = identity
% 0.21/0.49           & multiply(b,identity) = b
% 0.21/0.49           & multiply(b,a) = c
% 0.21/0.49           & multiply(b,b) = identity
% 0.21/0.49           & multiply(b,c) = a
% 0.21/0.49           & multiply(b,e) = fmb_$i_6
% 0.21/0.49           & multiply(b,fmb_$i_6) = e
% 0.21/0.49           & multiply(c,identity) = c
% 0.21/0.49           & multiply(c,a) = e
% 0.21/0.49           & multiply(c,b) = fmb_$i_6
% 0.21/0.49           & multiply(c,c) = identity
% 0.21/0.49           & multiply(c,e) = a
% 0.21/0.49           & multiply(c,fmb_$i_6) = b
% 0.21/0.49           & multiply(e,identity) = e
% 0.21/0.49           & multiply(e,a) = b
% 0.21/0.49           & multiply(e,b) = a
% 0.21/0.49           & multiply(e,c) = fmb_$i_6
% 0.21/0.49           & multiply(e,e) = identity
% 0.21/0.49           & multiply(e,fmb_$i_6) = c
% 0.21/0.49           & multiply(fmb_$i_6,identity) = fmb_$i_6
% 0.21/0.49           & multiply(fmb_$i_6,a) = identity
% 0.21/0.49           & multiply(fmb_$i_6,b) = c
% 0.21/0.49           & multiply(fmb_$i_6,c) = e
% 0.21/0.49           & multiply(fmb_$i_6,e) = b
% 0.21/0.49           & multiply(fmb_$i_6,fmb_$i_6) = a
% 0.21/0.49  
% 0.21/0.49  ).
% 0.21/0.49  
% 0.21/0.49  tff(declare_inverse,type,inverse: $i > $i).
% 0.21/0.49  tff(function_inverse,axiom,
% 0.21/0.49             inverse(identity) = identity
% 0.21/0.49           & inverse(a) = fmb_$i_6
% 0.21/0.49           & inverse(b) = b
% 0.21/0.49           & inverse(c) = c
% 0.21/0.49           & inverse(e) = e
% 0.21/0.49           & inverse(fmb_$i_6) = a
% 0.21/0.49  
% 0.21/0.49  ).
% 0.21/0.49  
% 0.21/0.49  % SZS output end FiniteModel for theBenchmark
% 0.21/0.49  % (29809)------------------------------
% 0.21/0.49  % (29809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49  % (29809)Termination reason: Satisfiable
% 0.21/0.49  
% 0.21/0.49  % (29809)Memory used [KB]: 1859
% 0.21/0.49  % (29809)Time elapsed: 0.123 s
% 0.21/0.49  % (29809)Instructions burned: 317 (million)
% 0.21/0.49  % (29805)Success in time 0.128 s
%------------------------------------------------------------------------------