TSTP Solution File: SYO842+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO842+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 12:31:27 EDT 2024

% Result   : CounterSatisfiable 0.22s 0.45s
% Output   : FiniteModel 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO842+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 16:06:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (29116)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (29119)WARNING: value z3 for option sas not known
% 0.15/0.38  % (29118)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (29120)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (29117)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (29121)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)
% 0.15/0.38  % (29119)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)
% 0.15/0.38  % (29122)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)
% 0.15/0.38  % (29123)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [3]
% 0.22/0.45  Finite Model Found!
% 0.22/0.45  % SZS status CounterSatisfiable for theBenchmark
% 0.22/0.45  % (29120)First to succeed.
% 0.22/0.45  % (29120)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29116"
% 0.22/0.45  % SZS output start FiniteModel for theBenchmark
% 0.22/0.45  tff(declare_$i,type,$i:$tType).
% 0.22/0.45  tff(declare_$i1,type,a0:$i).
% 0.22/0.45  tff(declare_$i2,type,a1:$i).
% 0.22/0.45  tff(declare_$i3,type,a2:$i).
% 0.22/0.45  tff(declare_$i4,type,a3:$i).
% 0.22/0.45  tff(finite_domain,axiom,
% 0.22/0.45        ! [X:$i] : (
% 0.22/0.45           X = a0 | X = a1 | X = a2 | X = a3
% 0.22/0.45        ) ).
% 0.22/0.45  
% 0.22/0.45  tff(distinct_domain,axiom,
% 0.22/0.45           a0 != a1 & a0 != a2 & a0 != a3 & a1 != a2 & a1 != a3 & 
% 0.22/0.45           a2 != a3
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_bool,type,$o:$tType).
% 0.22/0.45  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.22/0.45  tff(finite_domain,axiom,
% 0.22/0.45        ! [X:$o] : (
% 0.22/0.45           X = fmb_bool_1
% 0.22/0.45        ) ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_a4,type,a4:$i).
% 0.22/0.45  tff(a4_definition,axiom,a4 = a2).
% 0.22/0.45  tff(declare_aint,type,aint: $i * $i > $i).
% 0.22/0.45  tff(function_aint,axiom,
% 0.22/0.45             aint(a0,a0) = a2
% 0.22/0.45           & aint(a0,a1) = a3
% 0.22/0.45           & aint(a0,a2) = a2
% 0.22/0.45           & aint(a0,a3) = a3
% 0.22/0.45           & aint(a1,a0) = a3
% 0.22/0.45           & aint(a1,a1) = a1
% 0.22/0.45           & aint(a1,a2) = a3
% 0.22/0.45           & aint(a1,a3) = a3
% 0.22/0.45           & aint(a2,a0) = a2
% 0.22/0.45           & aint(a2,a1) = a3
% 0.22/0.45           & aint(a2,a2) = a2
% 0.22/0.45           & aint(a2,a3) = a3
% 0.22/0.45           & aint(a3,a0) = a3
% 0.22/0.45           & aint(a3,a1) = a3
% 0.22/0.45           & aint(a3,a2) = a3
% 0.22/0.45           & aint(a3,a3) = a3
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_apow,type,apow: $i > $i).
% 0.22/0.45  tff(function_apow,axiom,
% 0.22/0.45             apow(a0) = a3
% 0.22/0.45           & apow(a1) = a1
% 0.22/0.45           & apow(a2) = a0
% 0.22/0.45           & apow(a3) = a3
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aun,type,aun: $i * $i > $i).
% 0.22/0.45  tff(function_aun,axiom,
% 0.22/0.45             aun(a0,a0) = a3
% 0.22/0.45           & aun(a0,a1) = a1
% 0.22/0.45           & aun(a0,a2) = a1
% 0.22/0.45           & aun(a0,a3) = a1
% 0.22/0.45           & aun(a1,a0) = a1
% 0.22/0.45           & aun(a1,a1) = a1
% 0.22/0.45           & aun(a1,a2) = a3
% 0.22/0.45           & aun(a1,a3) = a1
% 0.22/0.45           & aun(a2,a0) = a1
% 0.22/0.45           & aun(a2,a1) = a3
% 0.22/0.45           & aun(a2,a2) = a1
% 0.22/0.45           & aun(a2,a3) = a1
% 0.22/0.45           & aun(a3,a0) = a3
% 0.22/0.45           & aun(a3,a1) = a3
% 0.22/0.45           & aun(a3,a2) = a2
% 0.22/0.45           & aun(a3,a3) = a0
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_asing,type,asing: $i > $i).
% 0.22/0.45  tff(function_asing,axiom,
% 0.22/0.45             asing(a0) = a1
% 0.22/0.45           & asing(a1) = a3
% 0.22/0.45           & asing(a2) = a0
% 0.22/0.45           & asing(a3) = a3
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_asm,type,asm: $i * $i > $i).
% 0.22/0.45  tff(function_asm,axiom,
% 0.22/0.45             asm(a0,a0) = a2
% 0.22/0.45           & asm(a0,a1) = a1
% 0.22/0.45           & asm(a0,a2) = a0
% 0.22/0.45           & asm(a0,a3) = a0
% 0.22/0.45           & asm(a1,a0) = a0
% 0.22/0.45           & asm(a1,a1) = a0
% 0.22/0.45           & asm(a1,a2) = a0
% 0.22/0.45           & asm(a1,a3) = a1
% 0.22/0.45           & asm(a2,a0) = a3
% 0.22/0.45           & asm(a2,a1) = a3
% 0.22/0.45           & asm(a2,a2) = a1
% 0.22/0.45           & asm(a2,a3) = a2
% 0.22/0.45           & asm(a3,a0) = a0
% 0.22/0.45           & asm(a3,a1) = a2
% 0.22/0.45           & asm(a3,a2) = a0
% 0.22/0.45           & asm(a3,a3) = a2
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_adisjoint,type,adisjoint: $i * $i > $o ).
% 0.22/0.45  tff(predicate_adisjoint,axiom,
% 0.22/0.45             ~adisjoint(a0,a0)
% 0.22/0.45           & ~adisjoint(a0,a1)
% 0.22/0.45           & ~adisjoint(a0,a2)
% 0.22/0.45           & ~adisjoint(a0,a3)
% 0.22/0.45           & ~adisjoint(a1,a0)
% 0.22/0.45           & ~adisjoint(a1,a1)
% 0.22/0.45           & ~adisjoint(a1,a2)
% 0.22/0.45           & ~adisjoint(a1,a3)
% 0.22/0.45           & ~adisjoint(a2,a0)
% 0.22/0.45           & ~adisjoint(a2,a1)
% 0.22/0.45           & ~adisjoint(a2,a2)
% 0.22/0.45           & ~adisjoint(a2,a3)
% 0.22/0.45           & ~adisjoint(a3,a0)
% 0.22/0.45           & ~adisjoint(a3,a1)
% 0.22/0.45           & ~adisjoint(a3,a2)
% 0.22/0.45           & ~adisjoint(a3,a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_ain,type,ain: $i * $i > $o ).
% 0.22/0.45  tff(predicate_ain,axiom,
% 0.22/0.45             ~ain(a0,a0)
% 0.22/0.45           & ain(a0,a1)
% 0.22/0.45           & ~ain(a0,a2)
% 0.22/0.45           & ~ain(a0,a3)
% 0.22/0.45           & ain(a1,a0)
% 0.22/0.45           & ~ain(a1,a1)
% 0.22/0.45           & ain(a1,a2)
% 0.22/0.45           & ~ain(a1,a3)
% 0.22/0.45           & ~ain(a2,a0)
% 0.22/0.45           & ain(a2,a1)
% 0.22/0.45           & ~ain(a2,a2)
% 0.22/0.45           & ~ain(a2,a3)
% 0.22/0.45           & ain(a3,a0)
% 0.22/0.45           & ~ain(a3,a1)
% 0.22/0.45           & ain(a3,a2)
% 0.22/0.45           & ~ain(a3,a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_asubq,type,asubq: $i * $i > $o ).
% 0.22/0.45  tff(predicate_asubq,axiom,
% 0.22/0.45             ~asubq(a0,a0)
% 0.22/0.45           & asubq(a0,a1)
% 0.22/0.45           & asubq(a0,a2)
% 0.22/0.45           & asubq(a0,a3)
% 0.22/0.45           & ~asubq(a1,a0)
% 0.22/0.45           & asubq(a1,a1)
% 0.22/0.45           & asubq(a1,a2)
% 0.22/0.45           & asubq(a1,a3)
% 0.22/0.45           & asubq(a2,a0)
% 0.22/0.45           & asubq(a2,a1)
% 0.22/0.45           & asubq(a2,a2)
% 0.22/0.45           & asubq(a2,a3)
% 0.22/0.45           & asubq(a3,a0)
% 0.22/0.45           & asubq(a3,a1)
% 0.22/0.45           & asubq(a3,a2)
% 0.22/0.45           & asubq(a3,a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aal2,type,aal2: $i > $o ).
% 0.22/0.45  tff(predicate_aal2,axiom,
% 0.22/0.45             aal2(a0)
% 0.22/0.45           & aal2(a1)
% 0.22/0.45           & aal2(a2)
% 0.22/0.45           & ~aal2(a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aal4,type,aal4: $i > $o ).
% 0.22/0.45  tff(predicate_aal4,axiom,
% 0.22/0.45             aal4(a0)
% 0.22/0.45           & ~aal4(a1)
% 0.22/0.45           & aal4(a2)
% 0.22/0.45           & ~aal4(a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aal3,type,aal3: $i > $o ).
% 0.22/0.45  tff(predicate_aal3,axiom,
% 0.22/0.45             ~aal3(a0)
% 0.22/0.45           & aal3(a1)
% 0.22/0.45           & aal3(a2)
% 0.22/0.45           & aal3(a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aal5,type,aal5: $i > $o ).
% 0.22/0.45  tff(predicate_aal5,axiom,
% 0.22/0.45             ~aal5(a0)
% 0.22/0.45           & ~aal5(a1)
% 0.22/0.45           & aal5(a2)
% 0.22/0.45           & ~aal5(a3)
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aal7,type,aal7: $i > $o ).
% 0.22/0.45  tff(predicate_aal7,axiom,
% 0.22/0.45  %         aal7(a0) undefined in model
% 0.22/0.45  %         aal7(a1) undefined in model
% 0.22/0.45  %         aal7(a2) undefined in model
% 0.22/0.45  %         aal7(a3) undefined in model
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aal6,type,aal6: $i > $o ).
% 0.22/0.45  tff(predicate_aal6,axiom,
% 0.22/0.45  %         aal6(a0) undefined in model
% 0.22/0.45  %         aal6(a1) undefined in model
% 0.22/0.45  %         aal6(a2) undefined in model
% 0.22/0.45  %         aal6(a3) undefined in model
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aex3,type,aex3: $i > $o ).
% 0.22/0.45  tff(predicate_aex3,axiom,
% 0.22/0.45  %         aex3(a0) undefined in model
% 0.22/0.45  %         aex3(a1) undefined in model
% 0.22/0.45  %         aex3(a2) undefined in model
% 0.22/0.45  %         aex3(a3) undefined in model
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  tff(declare_aex4,type,aex4: $i > $o ).
% 0.22/0.45  tff(predicate_aex4,axiom,
% 0.22/0.45  %         aex4(a0) undefined in model
% 0.22/0.45  %         aex4(a1) undefined in model
% 0.22/0.45  %         aex4(a2) undefined in model
% 0.22/0.45  %         aex4(a3) undefined in model
% 0.22/0.45  
% 0.22/0.45  ).
% 0.22/0.45  
% 0.22/0.45  % SZS output end FiniteModel for theBenchmark
% 0.22/0.45  % (29120)------------------------------
% 0.22/0.45  % (29120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45  % (29120)Termination reason: Satisfiable
% 0.22/0.45  
% 0.22/0.45  % (29120)Memory used [KB]: 1356
% 0.22/0.45  % (29120)Time elapsed: 0.074 s
% 0.22/0.45  % (29120)Instructions burned: 154 (million)
% 0.22/0.45  % (29116)Success in time 0.093 s
%------------------------------------------------------------------------------