TSTP Solution File: GRP128-4.004 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP128-4.004 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 21:15:18 EDT 2024

% Result   : Satisfiable 0.20s 0.38s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP128-4.004 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 04:46:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.35  % (781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (785)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (782)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (783)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (787)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (784)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (786)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (788)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  Detected minimum model sizes of [1]
% 0.20/0.37  Detected maximum model sizes of [4]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  Detected minimum model sizes of [1]
% 0.20/0.37  Detected maximum model sizes of [4]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  Detected minimum model sizes of [1]
% 0.20/0.37  Detected maximum model sizes of [4]
% 0.20/0.37  Detected minimum model sizes of [1]
% 0.20/0.37  Detected maximum model sizes of [4]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  Finite Model Found!
% 0.20/0.38  % SZS status Satisfiable for theBenchmark
% 0.20/0.38  % (782)First to succeed.
% 0.20/0.38  % (782)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-781"
% 0.20/0.38  Finite Model Found!
% 0.20/0.38  % SZS status Satisfiable for theBenchmark
% 0.20/0.38  Finite Model Found!
% 0.20/0.38  % SZS status Satisfiable for theBenchmark
% 0.20/0.38  % SZS output start FiniteModel for theBenchmark
% 0.20/0.38  tff(declare_$i,type,$i:$tType).
% 0.20/0.38  tff(declare_$i1,type,e_1:$i).
% 0.20/0.38  tff(declare_$i2,type,e_2:$i).
% 0.20/0.38  tff(declare_$i3,type,e_3:$i).
% 0.20/0.38  tff(declare_$i4,type,e_4:$i).
% 0.20/0.38  tff(finite_domain,axiom,
% 0.20/0.38        ! [X:$i] : (
% 0.20/0.38           X = e_1 | X = e_2 | X = e_3 | X = e_4
% 0.20/0.38        ) ).
% 0.20/0.38  
% 0.20/0.38  tff(distinct_domain,axiom,
% 0.20/0.38           e_1 != e_2 & e_1 != e_3 & e_1 != e_4 & e_2 != e_3 & e_2 != e_4 & 
% 0.20/0.38           e_3 != e_4
% 0.20/0.38  ).
% 0.20/0.38  
% 0.20/0.38  tff(declare_bool,type,$o:$tType).
% 0.20/0.38  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.20/0.38  tff(finite_domain,axiom,
% 0.20/0.38        ! [X:$o] : (
% 0.20/0.38           X = fmb_bool_1
% 0.20/0.38        ) ).
% 0.20/0.38  
% 0.20/0.38  tff(declare_group_element,type,group_element: $i > $o ).
% 0.20/0.38  tff(predicate_group_element,axiom,
% 0.20/0.38             group_element(e_1)
% 0.20/0.38           & group_element(e_2)
% 0.20/0.38           & group_element(e_3)
% 0.20/0.38           & group_element(e_4)
% 0.20/0.38  
% 0.20/0.38  ).
% 0.20/0.38  
% 0.20/0.38  tff(declare_product,type,product: $i * $i * $i > $o ).
% 0.20/0.38  tff(predicate_product,axiom,
% 0.20/0.38             product(e_1,e_1,e_1)
% 0.20/0.38           & ~product(e_1,e_1,e_2)
% 0.20/0.38           & ~product(e_1,e_1,e_3)
% 0.20/0.38           & ~product(e_1,e_1,e_4)
% 0.20/0.38           & ~product(e_1,e_2,e_1)
% 0.20/0.38           & ~product(e_1,e_2,e_2)
% 0.20/0.38           & product(e_1,e_2,e_3)
% 0.20/0.38           & ~product(e_1,e_2,e_4)
% 0.20/0.38           & ~product(e_1,e_3,e_1)
% 0.20/0.38           & ~product(e_1,e_3,e_2)
% 0.20/0.38           & ~product(e_1,e_3,e_3)
% 0.20/0.38           & product(e_1,e_3,e_4)
% 0.20/0.38           & ~product(e_1,e_4,e_1)
% 0.20/0.38           & product(e_1,e_4,e_2)
% 0.20/0.38           & ~product(e_1,e_4,e_3)
% 0.20/0.38           & ~product(e_1,e_4,e_4)
% 0.20/0.38           & ~product(e_2,e_1,e_1)
% 0.20/0.38           & ~product(e_2,e_1,e_2)
% 0.20/0.38           & ~product(e_2,e_1,e_3)
% 0.20/0.38           & product(e_2,e_1,e_4)
% 0.20/0.38           & ~product(e_2,e_2,e_1)
% 0.20/0.38           & product(e_2,e_2,e_2)
% 0.20/0.38           & ~product(e_2,e_2,e_3)
% 0.20/0.38           & ~product(e_2,e_2,e_4)
% 0.20/0.38           & product(e_2,e_3,e_1)
% 0.20/0.38           & ~product(e_2,e_3,e_2)
% 0.20/0.38           & ~product(e_2,e_3,e_3)
% 0.20/0.38           & ~product(e_2,e_3,e_4)
% 0.20/0.38           & ~product(e_2,e_4,e_1)
% 0.20/0.38           & ~product(e_2,e_4,e_2)
% 0.20/0.38           & product(e_2,e_4,e_3)
% 0.20/0.38           & ~product(e_2,e_4,e_4)
% 0.20/0.38           & ~product(e_3,e_1,e_1)
% 0.20/0.38           & product(e_3,e_1,e_2)
% 0.20/0.38           & ~product(e_3,e_1,e_3)
% 0.20/0.38           & ~product(e_3,e_1,e_4)
% 0.20/0.39           & ~product(e_3,e_2,e_1)
% 0.20/0.39           & ~product(e_3,e_2,e_2)
% 0.20/0.39           & ~product(e_3,e_2,e_3)
% 0.20/0.39           & product(e_3,e_2,e_4)
% 0.20/0.39           & ~product(e_3,e_3,e_1)
% 0.20/0.39           & ~product(e_3,e_3,e_2)
% 0.20/0.39           & product(e_3,e_3,e_3)
% 0.20/0.39           & ~product(e_3,e_3,e_4)
% 0.20/0.39           & product(e_3,e_4,e_1)
% 0.20/0.39           & ~product(e_3,e_4,e_2)
% 0.20/0.39           & ~product(e_3,e_4,e_3)
% 0.20/0.39           & ~product(e_3,e_4,e_4)
% 0.20/0.39           & ~product(e_4,e_1,e_1)
% 0.20/0.39           & ~product(e_4,e_1,e_2)
% 0.20/0.39           & product(e_4,e_1,e_3)
% 0.20/0.39           & ~product(e_4,e_1,e_4)
% 0.20/0.39           & product(e_4,e_2,e_1)
% 0.20/0.39           & ~product(e_4,e_2,e_2)
% 0.20/0.39           & ~product(e_4,e_2,e_3)
% 0.20/0.39           & ~product(e_4,e_2,e_4)
% 0.20/0.39           & ~product(e_4,e_3,e_1)
% 0.20/0.39           & product(e_4,e_3,e_2)
% 0.20/0.39           & ~product(e_4,e_3,e_3)
% 0.20/0.39           & ~product(e_4,e_3,e_4)
% 0.20/0.39           & ~product(e_4,e_4,e_1)
% 0.20/0.39           & ~product(e_4,e_4,e_2)
% 0.20/0.39           & ~product(e_4,e_4,e_3)
% 0.20/0.39           & product(e_4,e_4,e_4)
% 0.20/0.39  
% 0.20/0.39  ).
% 0.20/0.39  
% 0.20/0.39  tff(declare_equalish,type,equalish: $i * $i > $o ).
% 0.20/0.39  tff(predicate_equalish,axiom,
% 0.20/0.39             equalish(e_1,e_1)
% 0.20/0.39           & ~equalish(e_1,e_2)
% 0.20/0.39           & ~equalish(e_1,e_3)
% 0.20/0.39           & ~equalish(e_1,e_4)
% 0.20/0.39           & ~equalish(e_2,e_1)
% 0.20/0.39           & equalish(e_2,e_2)
% 0.20/0.39           & ~equalish(e_2,e_3)
% 0.20/0.39           & ~equalish(e_2,e_4)
% 0.20/0.39           & ~equalish(e_3,e_1)
% 0.20/0.39           & ~equalish(e_3,e_2)
% 0.20/0.39           & equalish(e_3,e_3)
% 0.20/0.39           & ~equalish(e_3,e_4)
% 0.20/0.39           & ~equalish(e_4,e_1)
% 0.20/0.39           & ~equalish(e_4,e_2)
% 0.20/0.39           & ~equalish(e_4,e_3)
% 0.20/0.39           & equalish(e_4,e_4)
% 0.20/0.39  
% 0.20/0.39  ).
% 0.20/0.39  
% 0.20/0.39  % SZS output end FiniteModel for theBenchmark
% 0.20/0.39  % (782)------------------------------
% 0.20/0.39  % (782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39  % (782)Termination reason: Satisfiable
% 0.20/0.39  
% 0.20/0.39  % (782)Memory used [KB]: 807
% 0.20/0.39  % (782)Time elapsed: 0.013 s
% 0.20/0.39  % (782)Instructions burned: 26 (million)
% 0.20/0.39  % (781)Success in time 0.029 s
%------------------------------------------------------------------------------