TSTP Solution File: GRP025-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP025-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 05:52:21 EDT 2024
% Result : Satisfiable 0.15s 0.41s
% Output : FiniteModel 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP025-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 20:46:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8395)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8399)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (8400)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (8401)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (8397)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (8398)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)
% 0.15/0.38 % (8396)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (8402)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 Finite Model Found!
% 0.15/0.41 % SZS status Satisfiable for theBenchmark
% 0.15/0.41 % (8396)First to succeed.
% 0.15/0.41 Finite Model Found!
% 0.15/0.41 % SZS status Satisfiable for theBenchmark
% 0.15/0.41 % (8396)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8395"
% 0.15/0.41 % (8397)Also succeeded, but the first one will report.
% 0.15/0.41 Finite Model Found!
% 0.15/0.41 % SZS status Satisfiable for theBenchmark
% 0.15/0.41 % (8399)Also succeeded, but the first one will report.
% 0.15/0.41 % SZS output start FiniteModel for theBenchmark
% 0.15/0.41 tff(declare_$i,type,$i:$tType).
% 0.15/0.41 tff(declare_$i1,type,a:$i).
% 0.15/0.41 tff(declare_$i2,type,g1:$i).
% 0.15/0.41 tff(declare_$i3,type,b:$i).
% 0.15/0.41 tff(finite_domain,axiom,
% 0.15/0.41 ! [X:$i] : (
% 0.15/0.41 X = a | X = g1 | X = b
% 0.15/0.41 ) ).
% 0.15/0.41
% 0.15/0.41 tff(distinct_domain,axiom,
% 0.15/0.41 a != g1 & a != b & g1 != b
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_bool,type,$o:$tType).
% 0.15/0.41 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.15/0.41 tff(finite_domain,axiom,
% 0.15/0.41 ! [X:$o] : (
% 0.15/0.41 X = fmb_bool_1
% 0.15/0.41 ) ).
% 0.15/0.41
% 0.15/0.41 tff(declare_c,type,c:$i).
% 0.15/0.41 tff(c_definition,axiom,c = g1).
% 0.15/0.41 tff(declare_g2,type,g2:$i).
% 0.15/0.41 tff(g2_definition,axiom,g2 = a).
% 0.15/0.41 tff(declare_d,type,d:$i).
% 0.15/0.41 tff(d_definition,axiom,d = b).
% 0.15/0.41 tff(declare_d1,type,d1:$i).
% 0.15/0.41 tff(d1_definition,axiom,d1 = b).
% 0.15/0.41 tff(declare_d2,type,d2:$i).
% 0.15/0.41 tff(d2_definition,axiom,d2 = b).
% 0.15/0.41 tff(declare_d3,type,d3:$i).
% 0.15/0.41 tff(d3_definition,axiom,d3 = g1).
% 0.15/0.41 tff(declare_multiply,type,multiply: $i * $i * $i > $i).
% 0.15/0.41 tff(function_multiply,axiom,
% 0.15/0.41 multiply(a,a,a) = a
% 0.15/0.41 & multiply(a,a,g1) = a
% 0.15/0.41 & multiply(a,a,b) = b
% 0.15/0.41 & multiply(a,g1,a) = g1
% 0.15/0.41 & multiply(a,g1,g1) = g1
% 0.15/0.41 & multiply(a,g1,b) = b
% 0.15/0.41 & multiply(a,b,a) = b
% 0.15/0.41 & multiply(a,b,g1) = b
% 0.15/0.41 & multiply(a,b,b) = a
% 0.15/0.41 & multiply(g1,a,a) = a
% 0.15/0.41 & multiply(g1,a,g1) = g1
% 0.15/0.41 & multiply(g1,a,b) = b
% 0.15/0.41 & multiply(g1,g1,a) = g1
% 0.15/0.41 & multiply(g1,g1,g1) = a
% 0.15/0.41 & multiply(g1,g1,b) = b
% 0.15/0.41 & multiply(g1,b,a) = b
% 0.15/0.41 & multiply(g1,b,g1) = b
% 0.15/0.41 & multiply(g1,b,b) = a
% 0.15/0.41 & multiply(b,a,a) = b
% 0.15/0.41 & multiply(b,a,g1) = b
% 0.15/0.41 & multiply(b,a,b) = a
% 0.15/0.41 & multiply(b,g1,a) = b
% 0.15/0.41 & multiply(b,g1,g1) = b
% 0.15/0.41 & multiply(b,g1,b) = a
% 0.15/0.41 & multiply(b,b,a) = a
% 0.15/0.41 & multiply(b,b,g1) = g1
% 0.15/0.41 & multiply(b,b,b) = b
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_inverse,type,inverse: $i * $i > $i).
% 0.15/0.41 tff(function_inverse,axiom,
% 0.15/0.41 inverse(a,a) = a
% 0.15/0.41 & inverse(a,g1) = g1
% 0.15/0.41 & inverse(a,b) = b
% 0.15/0.41 & inverse(g1,a) = a
% 0.15/0.41 & inverse(g1,g1) = g1
% 0.15/0.41 & inverse(g1,b) = b
% 0.15/0.41 & inverse(b,a) = a
% 0.15/0.41 & inverse(b,g1) = g1
% 0.15/0.41 & inverse(b,b) = b
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_identity_for,type,identity_for: $i > $i).
% 0.15/0.41 tff(function_identity_for,axiom,
% 0.15/0.41 identity_for(a) = g1
% 0.15/0.41 & identity_for(g1) = a
% 0.15/0.41 & identity_for(b) = b
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_an_isomorphism,type,an_isomorphism: $i > $i).
% 0.15/0.41 tff(function_an_isomorphism,axiom,
% 0.15/0.41 an_isomorphism(a) = g1
% 0.15/0.41 & an_isomorphism(g1) = b
% 0.15/0.41 & an_isomorphism(b) = b
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_equalish,type,equalish: $i * $i > $o ).
% 0.15/0.41 tff(predicate_equalish,axiom,
% 0.15/0.41 equalish(a,a)
% 0.15/0.41 & equalish(a,g1)
% 0.15/0.41 & ~equalish(a,b)
% 0.15/0.41 & equalish(g1,a)
% 0.15/0.41 & equalish(g1,g1)
% 0.15/0.41 & ~equalish(g1,b)
% 0.15/0.41 & ~equalish(b,a)
% 0.15/0.41 & ~equalish(b,g1)
% 0.15/0.41 & equalish(b,b)
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_product,type,product: $i * $i * $i * $i > $o ).
% 0.15/0.41 tff(predicate_product,axiom,
% 0.15/0.41 product(a,a,a,a)
% 0.15/0.41 & product(a,a,a,g1)
% 0.15/0.41 & ~product(a,a,a,b)
% 0.15/0.41 & product(a,a,g1,a)
% 0.15/0.41 & product(a,a,g1,g1)
% 0.15/0.41 & ~product(a,a,g1,b)
% 0.15/0.41 & ~product(a,a,b,a)
% 0.15/0.41 & ~product(a,a,b,g1)
% 0.15/0.41 & product(a,a,b,b)
% 0.15/0.41 & product(a,g1,a,a)
% 0.15/0.41 & product(a,g1,a,g1)
% 0.15/0.41 & ~product(a,g1,a,b)
% 0.15/0.41 & product(a,g1,g1,a)
% 0.15/0.41 & product(a,g1,g1,g1)
% 0.15/0.41 & ~product(a,g1,g1,b)
% 0.15/0.41 & ~product(a,g1,b,a)
% 0.15/0.41 & ~product(a,g1,b,g1)
% 0.15/0.41 & product(a,g1,b,b)
% 0.15/0.41 & ~product(a,b,a,a)
% 0.15/0.41 & ~product(a,b,a,g1)
% 0.15/0.41 & product(a,b,a,b)
% 0.15/0.41 & ~product(a,b,g1,a)
% 0.15/0.41 & ~product(a,b,g1,g1)
% 0.15/0.41 & product(a,b,g1,b)
% 0.15/0.41 & product(a,b,b,a)
% 0.15/0.41 & product(a,b,b,g1)
% 0.15/0.41 & ~product(a,b,b,b)
% 0.15/0.41 & product(g1,a,a,a)
% 0.15/0.41 & product(g1,a,a,g1)
% 0.15/0.41 & ~product(g1,a,a,b)
% 0.15/0.41 & product(g1,a,g1,a)
% 0.15/0.41 & product(g1,a,g1,g1)
% 0.15/0.41 & ~product(g1,a,g1,b)
% 0.15/0.41 & ~product(g1,a,b,a)
% 0.15/0.41 & ~product(g1,a,b,g1)
% 0.15/0.41 & product(g1,a,b,b)
% 0.15/0.41 & product(g1,g1,a,a)
% 0.15/0.41 & product(g1,g1,a,g1)
% 0.15/0.41 & ~product(g1,g1,a,b)
% 0.15/0.41 & product(g1,g1,g1,a)
% 0.15/0.41 & product(g1,g1,g1,g1)
% 0.15/0.41 & ~product(g1,g1,g1,b)
% 0.15/0.41 & ~product(g1,g1,b,a)
% 0.15/0.41 & ~product(g1,g1,b,g1)
% 0.15/0.41 & product(g1,g1,b,b)
% 0.15/0.41 & ~product(g1,b,a,a)
% 0.15/0.41 & ~product(g1,b,a,g1)
% 0.15/0.41 & product(g1,b,a,b)
% 0.15/0.41 & ~product(g1,b,g1,a)
% 0.15/0.41 & ~product(g1,b,g1,g1)
% 0.15/0.41 & product(g1,b,g1,b)
% 0.15/0.41 & product(g1,b,b,a)
% 0.15/0.41 & product(g1,b,b,g1)
% 0.15/0.41 & ~product(g1,b,b,b)
% 0.15/0.41 & ~product(b,a,a,a)
% 0.15/0.41 & ~product(b,a,a,g1)
% 0.15/0.41 & product(b,a,a,b)
% 0.15/0.41 & ~product(b,a,g1,a)
% 0.15/0.41 & ~product(b,a,g1,g1)
% 0.15/0.41 & product(b,a,g1,b)
% 0.15/0.41 & product(b,a,b,a)
% 0.15/0.41 & product(b,a,b,g1)
% 0.15/0.41 & ~product(b,a,b,b)
% 0.15/0.41 & ~product(b,g1,a,a)
% 0.15/0.41 & ~product(b,g1,a,g1)
% 0.15/0.41 & product(b,g1,a,b)
% 0.15/0.41 & ~product(b,g1,g1,a)
% 0.15/0.41 & ~product(b,g1,g1,g1)
% 0.15/0.41 & product(b,g1,g1,b)
% 0.15/0.41 & product(b,g1,b,a)
% 0.15/0.41 & product(b,g1,b,g1)
% 0.15/0.41 & ~product(b,g1,b,b)
% 0.15/0.41 & product(b,b,a,a)
% 0.15/0.41 & product(b,b,a,g1)
% 0.15/0.41 & ~product(b,b,a,b)
% 0.15/0.41 & product(b,b,g1,a)
% 0.15/0.41 & product(b,b,g1,g1)
% 0.15/0.41 & ~product(b,b,g1,b)
% 0.15/0.41 & ~product(b,b,b,a)
% 0.15/0.41 & ~product(b,b,b,g1)
% 0.15/0.41 & product(b,b,b,b)
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 tff(declare_group_member,type,group_member: $i * $i > $o ).
% 0.15/0.41 tff(predicate_group_member,axiom,
% 0.15/0.41 group_member(a,a)
% 0.15/0.41 & group_member(a,g1)
% 0.15/0.41 & group_member(a,b)
% 0.15/0.41 & group_member(g1,a)
% 0.15/0.41 & group_member(g1,g1)
% 0.15/0.41 & group_member(g1,b)
% 0.15/0.41 & group_member(b,a)
% 0.15/0.41 & group_member(b,g1)
% 0.15/0.41 & group_member(b,b)
% 0.15/0.41
% 0.15/0.41 ).
% 0.15/0.41
% 0.15/0.41 % SZS output end FiniteModel for theBenchmark
% 0.15/0.41 % (8396)------------------------------
% 0.15/0.41 % (8396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41 % (8396)Termination reason: Satisfiable
% 0.15/0.41
% 0.15/0.41 % (8396)Memory used [KB]: 1010
% 0.15/0.41 % (8396)Time elapsed: 0.028 s
% 0.15/0.41 % (8396)Instructions burned: 60 (million)
% 0.15/0.41 % (8395)Success in time 0.044 s
%------------------------------------------------------------------------------