TSTP Solution File: GRP026-3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP026-3 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 05:52:23 EDT 2024
% Result : Satisfiable 0.21s 0.40s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP026-3 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:47:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (27965)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (27968)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (27972)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (27971)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (27969)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (27973)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (27974)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)
% 0.15/0.37 % (27970)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.21/0.40 Finite Model Found!
% 0.21/0.40 % SZS status Satisfiable for theBenchmark
% 0.21/0.40 % (27968)First to succeed.
% 0.21/0.40 % (27968)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27965"
% 0.21/0.40 Finite Model Found!
% 0.21/0.40 % SZS status Satisfiable for theBenchmark
% 0.21/0.40 Finite Model Found!
% 0.21/0.40 % SZS status Satisfiable for theBenchmark
% 0.21/0.40 % (27969)Also succeeded, but the first one will report.
% 0.21/0.40 % (27971)Also succeeded, but the first one will report.
% 0.21/0.40 % SZS output start FiniteModel for theBenchmark
% 0.21/0.40 tff(declare_$i,type,$i:$tType).
% 0.21/0.40 tff(declare_$i1,type,a:$i).
% 0.21/0.40 tff(declare_$i2,type,f:$i).
% 0.21/0.40 tff(declare_$i3,type,d1:$i).
% 0.21/0.40 tff(finite_domain,axiom,
% 0.21/0.40 ! [X:$i] : (
% 0.21/0.40 X = a | X = f | X = d1
% 0.21/0.40 ) ).
% 0.21/0.40
% 0.21/0.40 tff(distinct_domain,axiom,
% 0.21/0.40 a != f & a != d1 & f != d1
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_bool,type,$o:$tType).
% 0.21/0.40 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.21/0.40 tff(finite_domain,axiom,
% 0.21/0.40 ! [X:$o] : (
% 0.21/0.40 X = fmb_bool_1
% 0.21/0.40 ) ).
% 0.21/0.40
% 0.21/0.40 tff(declare_g1,type,g1:$i).
% 0.21/0.40 tff(g1_definition,axiom,g1 = a).
% 0.21/0.40 tff(declare_b,type,b:$i).
% 0.21/0.40 tff(b_definition,axiom,b = a).
% 0.21/0.40 tff(declare_c,type,c:$i).
% 0.21/0.40 tff(c_definition,axiom,c = a).
% 0.21/0.40 tff(declare_g2,type,g2:$i).
% 0.21/0.40 tff(g2_definition,axiom,g2 = f).
% 0.21/0.40 tff(declare_g,type,g:$i).
% 0.21/0.40 tff(g_definition,axiom,g = f).
% 0.21/0.40 tff(declare_h,type,h:$i).
% 0.21/0.40 tff(h_definition,axiom,h = f).
% 0.21/0.40 tff(declare_d2,type,d2:$i).
% 0.21/0.40 tff(d2_definition,axiom,d2 = d1).
% 0.21/0.40 tff(declare_d3,type,d3:$i).
% 0.21/0.40 tff(d3_definition,axiom,d3 = d1).
% 0.21/0.40 tff(declare_multiply,type,multiply: $i * $i * $i > $i).
% 0.21/0.40 tff(function_multiply,axiom,
% 0.21/0.40 multiply(a,a,a) = a
% 0.21/0.40 & multiply(a,a,f) = f
% 0.21/0.40 & multiply(a,a,d1) = d1
% 0.21/0.40 & multiply(a,f,a) = f
% 0.21/0.40 & multiply(a,f,f) = a
% 0.21/0.40 & multiply(a,f,d1) = f
% 0.21/0.40 & multiply(a,d1,a) = a
% 0.21/0.40 & multiply(a,d1,f) = f
% 0.21/0.40 & multiply(a,d1,d1) = a
% 0.21/0.40 & multiply(f,a,a) = f
% 0.21/0.40 & multiply(f,a,f) = f
% 0.21/0.40 & multiply(f,a,d1) = f
% 0.21/0.40 & multiply(f,f,a) = f
% 0.21/0.40 & multiply(f,f,f) = f
% 0.21/0.40 & multiply(f,f,d1) = f
% 0.21/0.40 & multiply(f,d1,a) = f
% 0.21/0.40 & multiply(f,d1,f) = f
% 0.21/0.40 & multiply(f,d1,d1) = f
% 0.21/0.40 & multiply(d1,a,a) = a
% 0.21/0.40 & multiply(d1,a,f) = f
% 0.21/0.40 & multiply(d1,a,d1) = d1
% 0.21/0.40 & multiply(d1,f,a) = f
% 0.21/0.40 & multiply(d1,f,f) = a
% 0.21/0.40 & multiply(d1,f,d1) = f
% 0.21/0.40 & multiply(d1,d1,a) = a
% 0.21/0.40 & multiply(d1,d1,f) = f
% 0.21/0.40 & multiply(d1,d1,d1) = a
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_inverse,type,inverse: $i * $i > $i).
% 0.21/0.40 tff(function_inverse,axiom,
% 0.21/0.40 inverse(a,a) = a
% 0.21/0.40 & inverse(a,f) = f
% 0.21/0.40 & inverse(a,d1) = d1
% 0.21/0.40 & inverse(f,a) = a
% 0.21/0.40 & inverse(f,f) = f
% 0.21/0.40 & inverse(f,d1) = a
% 0.21/0.40 & inverse(d1,a) = d1
% 0.21/0.40 & inverse(d1,f) = f
% 0.21/0.40 & inverse(d1,d1) = a
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_identity_for,type,identity_for: $i > $i).
% 0.21/0.40 tff(function_identity_for,axiom,
% 0.21/0.40 identity_for(a) = a
% 0.21/0.40 & identity_for(f) = f
% 0.21/0.40 & identity_for(d1) = a
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_an_isomorphism,type,an_isomorphism: $i > $i).
% 0.21/0.40 tff(function_an_isomorphism,axiom,
% 0.21/0.40 an_isomorphism(a) = f
% 0.21/0.40 & an_isomorphism(f) = f
% 0.21/0.40 & an_isomorphism(d1) = d1
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_equalish,type,equalish: $i * $i > $o ).
% 0.21/0.40 tff(predicate_equalish,axiom,
% 0.21/0.40 equalish(a,a)
% 0.21/0.40 & ~equalish(a,f)
% 0.21/0.40 & equalish(a,d1)
% 0.21/0.40 & ~equalish(f,a)
% 0.21/0.40 & equalish(f,f)
% 0.21/0.40 & ~equalish(f,d1)
% 0.21/0.40 & equalish(d1,a)
% 0.21/0.40 & ~equalish(d1,f)
% 0.21/0.40 & equalish(d1,d1)
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_product,type,product: $i * $i * $i * $i > $o ).
% 0.21/0.40 tff(predicate_product,axiom,
% 0.21/0.40 product(a,a,a,a)
% 0.21/0.40 & ~product(a,a,a,f)
% 0.21/0.40 & product(a,a,a,d1)
% 0.21/0.40 & ~product(a,a,f,a)
% 0.21/0.40 & product(a,a,f,f)
% 0.21/0.40 & ~product(a,a,f,d1)
% 0.21/0.40 & product(a,a,d1,a)
% 0.21/0.40 & ~product(a,a,d1,f)
% 0.21/0.40 & product(a,a,d1,d1)
% 0.21/0.40 & ~product(a,f,a,a)
% 0.21/0.40 & product(a,f,a,f)
% 0.21/0.40 & ~product(a,f,a,d1)
% 0.21/0.40 & product(a,f,f,a)
% 0.21/0.40 & ~product(a,f,f,f)
% 0.21/0.40 & product(a,f,f,d1)
% 0.21/0.40 & ~product(a,f,d1,a)
% 0.21/0.40 & product(a,f,d1,f)
% 0.21/0.40 & ~product(a,f,d1,d1)
% 0.21/0.40 & product(a,d1,a,a)
% 0.21/0.40 & ~product(a,d1,a,f)
% 0.21/0.40 & product(a,d1,a,d1)
% 0.21/0.40 & ~product(a,d1,f,a)
% 0.21/0.40 & product(a,d1,f,f)
% 0.21/0.40 & ~product(a,d1,f,d1)
% 0.21/0.40 & product(a,d1,d1,a)
% 0.21/0.40 & ~product(a,d1,d1,f)
% 0.21/0.40 & product(a,d1,d1,d1)
% 0.21/0.40 & ~product(f,a,a,a)
% 0.21/0.40 & product(f,a,a,f)
% 0.21/0.40 & ~product(f,a,a,d1)
% 0.21/0.40 & product(f,a,f,a)
% 0.21/0.40 & ~product(f,a,f,f)
% 0.21/0.40 & product(f,a,f,d1)
% 0.21/0.40 & ~product(f,a,d1,a)
% 0.21/0.40 & product(f,a,d1,f)
% 0.21/0.40 & ~product(f,a,d1,d1)
% 0.21/0.40 & product(f,f,a,a)
% 0.21/0.40 & ~product(f,f,a,f)
% 0.21/0.40 & product(f,f,a,d1)
% 0.21/0.40 & ~product(f,f,f,a)
% 0.21/0.40 & product(f,f,f,f)
% 0.21/0.40 & ~product(f,f,f,d1)
% 0.21/0.40 & product(f,f,d1,a)
% 0.21/0.40 & ~product(f,f,d1,f)
% 0.21/0.40 & product(f,f,d1,d1)
% 0.21/0.40 & ~product(f,d1,a,a)
% 0.21/0.40 & product(f,d1,a,f)
% 0.21/0.40 & ~product(f,d1,a,d1)
% 0.21/0.40 & product(f,d1,f,a)
% 0.21/0.40 & ~product(f,d1,f,f)
% 0.21/0.40 & product(f,d1,f,d1)
% 0.21/0.40 & ~product(f,d1,d1,a)
% 0.21/0.40 & product(f,d1,d1,f)
% 0.21/0.40 & ~product(f,d1,d1,d1)
% 0.21/0.40 & product(d1,a,a,a)
% 0.21/0.40 & ~product(d1,a,a,f)
% 0.21/0.40 & product(d1,a,a,d1)
% 0.21/0.40 & ~product(d1,a,f,a)
% 0.21/0.40 & product(d1,a,f,f)
% 0.21/0.40 & ~product(d1,a,f,d1)
% 0.21/0.40 & product(d1,a,d1,a)
% 0.21/0.40 & ~product(d1,a,d1,f)
% 0.21/0.40 & product(d1,a,d1,d1)
% 0.21/0.40 & ~product(d1,f,a,a)
% 0.21/0.40 & product(d1,f,a,f)
% 0.21/0.40 & ~product(d1,f,a,d1)
% 0.21/0.40 & product(d1,f,f,a)
% 0.21/0.40 & ~product(d1,f,f,f)
% 0.21/0.40 & product(d1,f,f,d1)
% 0.21/0.40 & ~product(d1,f,d1,a)
% 0.21/0.40 & product(d1,f,d1,f)
% 0.21/0.40 & ~product(d1,f,d1,d1)
% 0.21/0.40 & product(d1,d1,a,a)
% 0.21/0.40 & ~product(d1,d1,a,f)
% 0.21/0.40 & product(d1,d1,a,d1)
% 0.21/0.40 & ~product(d1,d1,f,a)
% 0.21/0.40 & product(d1,d1,f,f)
% 0.21/0.40 & ~product(d1,d1,f,d1)
% 0.21/0.40 & product(d1,d1,d1,a)
% 0.21/0.40 & ~product(d1,d1,d1,f)
% 0.21/0.40 & product(d1,d1,d1,d1)
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 tff(declare_group_member,type,group_member: $i * $i > $o ).
% 0.21/0.40 tff(predicate_group_member,axiom,
% 0.21/0.40 group_member(a,a)
% 0.21/0.40 & ~group_member(a,f)
% 0.21/0.40 & group_member(a,d1)
% 0.21/0.40 & ~group_member(f,a)
% 0.21/0.40 & group_member(f,f)
% 0.21/0.40 & ~group_member(f,d1)
% 0.21/0.40 & group_member(d1,a)
% 0.21/0.40 & ~group_member(d1,f)
% 0.21/0.40 & group_member(d1,d1)
% 0.21/0.40
% 0.21/0.40 ).
% 0.21/0.40
% 0.21/0.40 % SZS output end FiniteModel for theBenchmark
% 0.21/0.40 % (27968)------------------------------
% 0.21/0.40 % (27968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (27968)Termination reason: Satisfiable
% 0.21/0.40
% 0.21/0.40 % (27968)Memory used [KB]: 1065
% 0.21/0.40 % (27968)Time elapsed: 0.033 s
% 0.21/0.40 % (27968)Instructions burned: 71 (million)
% 0.21/0.40 % (27965)Success in time 0.051 s
%------------------------------------------------------------------------------