TSTP Solution File: LCL183-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL183-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 07:44:20 EDT 2024

% Result   : Satisfiable 2.01s 0.63s
% Output   : FiniteModel 2.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL183-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n004.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
% 0.14/0.36  % DateTime   : Fri May  3 13:43:33 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (21918)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (21923)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)
% 0.22/0.38  % (21925)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (21924)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (21922)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (21920)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (21928)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)
% 0.22/0.38  % (21926)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [3]
% 0.22/0.38  TRYING [3]
% 0.22/0.38  TRYING [3]
% 0.22/0.38  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.52  TRYING [5]
% 0.22/0.52  TRYING [5]
% 0.22/0.52  TRYING [5]
% 0.22/0.52  TRYING [5]
% 2.01/0.63  Finite Model Found!
% 2.01/0.63  % SZS status Satisfiable for theBenchmark
% 2.01/0.63  % (21928)First to succeed.
% 2.01/0.63  % (21928)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21918"
% 2.01/0.63  % SZS output start FiniteModel for theBenchmark
% 2.01/0.63  tff(declare_$i,type,$i:$tType).
% 2.01/0.63  tff(declare_$i1,type,q:$i).
% 2.01/0.63  tff(declare_$i2,type,p:$i).
% 2.01/0.63  tff(declare_$i3,type,fmb_$i_3:$i).
% 2.01/0.63  tff(declare_$i4,type,fmb_$i_4:$i).
% 2.01/0.63  tff(declare_$i5,type,fmb_$i_5:$i).
% 2.01/0.63  tff(finite_domain,axiom,
% 2.01/0.63        ! [X:$i] : (
% 2.01/0.63           X = q | X = p | X = fmb_$i_3 | X = fmb_$i_4 | X = fmb_$i_5
% 2.01/0.63        ) ).
% 2.01/0.63  
% 2.01/0.63  tff(distinct_domain,axiom,
% 2.01/0.63           q != p & q != fmb_$i_3 & q != fmb_$i_4 & q != fmb_$i_5 & p != fmb_$i_3 & 
% 2.01/0.63           p != fmb_$i_4 & p != fmb_$i_5 & fmb_$i_3 != fmb_$i_4 & fmb_$i_3 != fmb_$i_5 & fmb_$i_4 != fmb_$i_5
% 2.01/0.63  ).
% 2.01/0.63  
% 2.01/0.63  tff(declare_bool,type,$o:$tType).
% 2.01/0.63  tff(declare_bool1,type,fmb_bool_1:$o).
% 2.01/0.63  tff(finite_domain,axiom,
% 2.01/0.63        ! [X:$o] : (
% 2.01/0.63           X = fmb_bool_1
% 2.01/0.63        ) ).
% 2.01/0.63  
% 2.01/0.63  tff(declare_or,type,or: $i * $i > $i).
% 2.01/0.63  tff(function_or,axiom,
% 2.01/0.63             or(q,q) = q
% 2.01/0.63           & or(q,p) = fmb_$i_5
% 2.01/0.63           & or(q,fmb_$i_3) = fmb_$i_4
% 2.01/0.63           & or(q,fmb_$i_4) = fmb_$i_4
% 2.01/0.63           & or(q,fmb_$i_5) = fmb_$i_5
% 2.01/0.63           & or(p,q) = p
% 2.01/0.63           & or(p,p) = fmb_$i_5
% 2.01/0.63           & or(p,fmb_$i_3) = fmb_$i_5
% 2.01/0.63           & or(p,fmb_$i_4) = fmb_$i_5
% 2.01/0.63           & or(p,fmb_$i_5) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_3,q) = fmb_$i_3
% 2.01/0.63           & or(fmb_$i_3,p) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.01/0.63           & or(fmb_$i_3,fmb_$i_4) = fmb_$i_3
% 2.01/0.63           & or(fmb_$i_3,fmb_$i_5) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_4,q) = fmb_$i_4
% 2.01/0.63           & or(fmb_$i_4,p) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_4,fmb_$i_3) = fmb_$i_4
% 2.01/0.63           & or(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 2.01/0.63           & or(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_5,q) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_5,p) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_5,fmb_$i_3) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 2.01/0.63           & or(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 2.01/0.63  
% 2.01/0.63  ).
% 2.01/0.63  
% 2.01/0.63  tff(declare_not,type,not: $i > $i).
% 2.01/0.63  tff(function_not,axiom,
% 2.01/0.63             not(q) = fmb_$i_3
% 2.01/0.63           & not(p) = q
% 2.01/0.63           & not(fmb_$i_3) = p
% 2.01/0.63           & not(fmb_$i_4) = p
% 2.01/0.63           & not(fmb_$i_5) = q
% 2.01/0.63  
% 2.01/0.63  ).
% 2.01/0.63  
% 2.01/0.63  tff(declare_axiom,type,axiom: $i > $o ).
% 2.01/0.63  tff(predicate_axiom,axiom,
% 2.01/0.63             axiom(q)
% 2.01/0.63           & axiom(p)
% 2.01/0.64           & ~axiom(fmb_$i_3)
% 2.01/0.64           & axiom(fmb_$i_4)
% 2.01/0.64           & ~axiom(fmb_$i_5)
% 2.01/0.64  
% 2.01/0.64  ).
% 2.01/0.64  
% 2.01/0.64  tff(declare_theorem,type,theorem: $i > $o ).
% 2.01/0.64  tff(predicate_theorem,axiom,
% 2.01/0.64             ~theorem(q)
% 2.01/0.64           & theorem(p)
% 2.01/0.64           & theorem(fmb_$i_3)
% 2.01/0.64           & theorem(fmb_$i_4)
% 2.01/0.64           & theorem(fmb_$i_5)
% 2.01/0.64  
% 2.01/0.64  ).
% 2.01/0.64  
% 2.01/0.64  % SZS output end FiniteModel for theBenchmark
% 2.01/0.64  % (21928)------------------------------
% 2.01/0.64  % (21928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.01/0.64  % (21928)Termination reason: Satisfiable
% 2.01/0.64  
% 2.01/0.64  % (21928)Memory used [KB]: 1349
% 2.01/0.64  % (21928)Time elapsed: 0.258 s
% 2.01/0.64  % (21928)Instructions burned: 626 (million)
% 2.01/0.64  % (21918)Success in time 0.267 s
%------------------------------------------------------------------------------