TSTP Solution File: LCL220-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL220-1 : 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 : n018.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 : Tue Apr 30 13:41:04 EDT 2024
% Result : Satisfiable 6.11s 1.56s
% Output : FiniteModel 6.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL220-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:16:28 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (24721)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (24724)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)
% 0.12/0.35 % (24726)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (24727)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (24728)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)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [3]
% 0.17/0.36 % (24723)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.37 TRYING [4]
% 0.17/0.37 TRYING [1]
% 0.17/0.37 TRYING [2]
% 0.17/0.37 % (24722)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.37 % (24725)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.37 TRYING [1]
% 0.17/0.37 TRYING [3]
% 0.17/0.37 TRYING [2]
% 0.17/0.37 TRYING [1]
% 0.17/0.37 TRYING [2]
% 0.17/0.38 TRYING [3]
% 0.17/0.38 TRYING [3]
% 0.17/0.40 TRYING [4]
% 0.17/0.40 TRYING [4]
% 0.17/0.41 TRYING [4]
% 0.17/0.55 TRYING [5]
% 1.94/0.71 TRYING [5]
% 1.94/0.73 TRYING [5]
% 1.94/0.74 TRYING [5]
% 6.11/1.56 Finite Model Found!
% 6.11/1.56 % SZS status Satisfiable for theBenchmark
% 6.11/1.56 % (24728)First to succeed.
% 6.11/1.57 % SZS output start FiniteModel for theBenchmark
% 6.11/1.57 tff(declare_$i,type,$i:$tType).
% 6.11/1.57 tff(declare_$i1,type,p:$i).
% 6.11/1.57 tff(declare_$i2,type,q:$i).
% 6.11/1.57 tff(declare_$i3,type,fmb_$i_3:$i).
% 6.11/1.57 tff(declare_$i4,type,fmb_$i_4:$i).
% 6.11/1.57 tff(declare_$i5,type,fmb_$i_5:$i).
% 6.11/1.57 tff(finite_domain,axiom,
% 6.11/1.57 ! [X:$i] : (
% 6.11/1.57 X = p | X = q | X = fmb_$i_3 | X = fmb_$i_4 | X = fmb_$i_5
% 6.11/1.57 ) ).
% 6.11/1.57
% 6.11/1.57 tff(distinct_domain,axiom,
% 6.11/1.57 p != q & p != fmb_$i_3 & p != fmb_$i_4 & p != fmb_$i_5 & q != fmb_$i_3 &
% 6.11/1.57 q != fmb_$i_4 & q != fmb_$i_5 & fmb_$i_3 != fmb_$i_4 & fmb_$i_3 != fmb_$i_5 & fmb_$i_4 != fmb_$i_5
% 6.11/1.57 ).
% 6.11/1.57
% 6.11/1.57 tff(declare_bool,type,$o:$tType).
% 6.11/1.57 tff(declare_bool1,type,fmb_bool_1:$o).
% 6.11/1.57 tff(finite_domain,axiom,
% 6.11/1.57 ! [X:$o] : (
% 6.11/1.57 X = fmb_bool_1
% 6.11/1.57 ) ).
% 6.11/1.57
% 6.11/1.57 tff(declare_or,type,or: $i * $i > $i).
% 6.11/1.57 tff(function_or,axiom,
% 6.11/1.57 or(p,p) = p
% 6.11/1.57 & or(p,q) = fmb_$i_3
% 6.11/1.57 & or(p,fmb_$i_3) = fmb_$i_3
% 6.11/1.57 & or(p,fmb_$i_4) = fmb_$i_5
% 6.11/1.57 & or(p,fmb_$i_5) = fmb_$i_5
% 6.11/1.57 & or(q,p) = fmb_$i_3
% 6.11/1.57 & or(q,q) = fmb_$i_3
% 6.11/1.57 & or(q,fmb_$i_3) = fmb_$i_3
% 6.11/1.57 & or(q,fmb_$i_4) = fmb_$i_5
% 6.11/1.57 & or(q,fmb_$i_5) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_3,p) = q
% 6.11/1.57 & or(fmb_$i_3,q) = q
% 6.11/1.57 & or(fmb_$i_3,fmb_$i_3) = q
% 6.11/1.57 & or(fmb_$i_3,fmb_$i_4) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_3,fmb_$i_5) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_4,p) = fmb_$i_4
% 6.11/1.57 & or(fmb_$i_4,q) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_4,fmb_$i_3) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_4,fmb_$i_4) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_5,p) = fmb_$i_4
% 6.11/1.57 & or(fmb_$i_5,q) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_5,fmb_$i_3) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 6.11/1.57 & or(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 6.11/1.57
% 6.11/1.57 ).
% 6.11/1.57
% 6.11/1.57 tff(declare_not,type,not: $i > $i).
% 6.11/1.57 tff(function_not,axiom,
% 6.11/1.57 not(p) = fmb_$i_3
% 6.11/1.57 & not(q) = fmb_$i_4
% 6.11/1.57 & not(fmb_$i_3) = fmb_$i_5
% 6.11/1.57 & not(fmb_$i_4) = p
% 6.11/1.57 & not(fmb_$i_5) = p
% 6.11/1.57
% 6.11/1.57 ).
% 6.11/1.57
% 6.11/1.57 tff(declare_axiom,type,axiom: $i > $o ).
% 6.11/1.57 tff(predicate_axiom,axiom,
% 6.11/1.57 axiom(p)
% 6.11/1.57 & ~axiom(q)
% 6.11/1.57 & axiom(fmb_$i_3)
% 6.11/1.57 & axiom(fmb_$i_4)
% 6.11/1.57 & ~axiom(fmb_$i_5)
% 6.11/1.57
% 6.11/1.57 ).
% 6.11/1.57
% 6.11/1.57 tff(declare_theorem,type,theorem: $i > $o ).
% 6.11/1.57 tff(predicate_theorem,axiom,
% 6.11/1.57 ~theorem(p)
% 6.11/1.57 & theorem(q)
% 6.11/1.57 & theorem(fmb_$i_3)
% 6.11/1.57 & theorem(fmb_$i_4)
% 6.11/1.57 & theorem(fmb_$i_5)
% 6.11/1.57
% 6.11/1.57 ).
% 6.11/1.57
% 6.11/1.57 % SZS output end FiniteModel for theBenchmark
% 6.11/1.57 % (24728)------------------------------
% 6.11/1.57 % (24728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.11/1.57 % (24728)Termination reason: Satisfiable
% 6.11/1.57
% 6.11/1.57 % (24728)Memory used [KB]: 1463
% 6.11/1.57 % (24728)Time elapsed: 1.218 s
% 6.11/1.57 % (24728)Instructions burned: 2404 (million)
% 6.11/1.57 % (24728)------------------------------
% 6.11/1.57 % (24728)------------------------------
% 6.11/1.57 % (24721)Success in time 1.23 s
%------------------------------------------------------------------------------