TSTP Solution File: GRP026-4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP026-4 : 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 : n026.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 0.17s 0.36s
% Output : FiniteModel 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP026-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 20:38:38 EDT 2024
% 0.17/0.33 % CPUTime :
% 0.17/0.33 % (16950)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34 % (16953)WARNING: value z3 for option sas not known
% 0.17/0.34 % (16951)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34 % (16954)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34 % (16953)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)
% 0.17/0.34 % (16955)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)
% 0.17/0.34 % (16957)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)
% 0.17/0.35 % (16952)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (16956)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)
% 0.17/0.35 Detected minimum model sizes of [3]
% 0.17/0.35 Detected maximum model sizes of [max]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 Detected minimum model sizes of [3]
% 0.17/0.35 Detected maximum model sizes of [max]
% 0.17/0.35 TRYING [3]
% 0.17/0.36 Finite Model Found!
% 0.17/0.36 % SZS status Satisfiable for theBenchmark
% 0.17/0.36 % (16954)First to succeed.
% 0.17/0.36 % (16954)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16950"
% 0.17/0.36 % SZS output start FiniteModel for theBenchmark
% 0.17/0.36 tff(declare_$i,type,$i:$tType).
% 0.17/0.36 tff(declare_$i1,type,g1:$i).
% 0.17/0.36 tff(declare_$i2,type,g2:$i).
% 0.17/0.36 tff(declare_$i3,type,c:$i).
% 0.17/0.36 tff(finite_domain,axiom,
% 0.17/0.36 ! [X:$i] : (
% 0.17/0.36 X = g1 | X = g2 | X = c
% 0.17/0.36 ) ).
% 0.17/0.36
% 0.17/0.36 tff(distinct_domain,axiom,
% 0.17/0.36 g1 != g2 & g1 != c & g2 != c
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_bool,type,$o:$tType).
% 0.17/0.36 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.17/0.36 tff(finite_domain,axiom,
% 0.17/0.36 ! [X:$o] : (
% 0.17/0.36 X = fmb_bool_1
% 0.17/0.36 ) ).
% 0.17/0.36
% 0.17/0.36 tff(declare_a,type,a:$i).
% 0.17/0.36 tff(a_definition,axiom,a = g1).
% 0.17/0.36 tff(declare_b,type,b:$i).
% 0.17/0.36 tff(b_definition,axiom,b = g2).
% 0.17/0.36 tff(declare_f,type,f:$i).
% 0.17/0.36 tff(f_definition,axiom,f = c).
% 0.17/0.36 tff(declare_g,type,g:$i).
% 0.17/0.36 tff(g_definition,axiom,g = g2).
% 0.17/0.36 tff(declare_h,type,h:$i).
% 0.17/0.36 tff(h_definition,axiom,h = g1).
% 0.17/0.36 tff(declare_d1,type,d1:$i).
% 0.17/0.36 tff(d1_definition,axiom,d1 = c).
% 0.17/0.36 tff(declare_d2,type,d2:$i).
% 0.17/0.36 tff(d2_definition,axiom,d2 = g1).
% 0.17/0.36 tff(declare_d3,type,d3:$i).
% 0.17/0.36 tff(d3_definition,axiom,d3 = c).
% 0.17/0.36 tff(declare_identity_for,type,identity_for: $i > $i).
% 0.17/0.36 tff(function_identity_for,axiom,
% 0.17/0.36 identity_for(g1) = g1
% 0.17/0.36 & identity_for(g2) = c
% 0.17/0.36 % identity_for(c) undefined in model
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_inverse,type,inverse: $i * $i > $i).
% 0.17/0.36 tff(function_inverse,axiom,
% 0.17/0.36 inverse(g1,g1) = g1
% 0.17/0.36 & inverse(g1,g2) = c
% 0.17/0.36 & inverse(g1,c) = g2
% 0.17/0.36 & inverse(g2,g1) = g2
% 0.17/0.36 & inverse(g2,g2) = g1
% 0.17/0.36 & inverse(g2,c) = c
% 0.17/0.36 % inverse(c,g1) undefined in model
% 0.17/0.36 % inverse(c,g2) undefined in model
% 0.17/0.36 % inverse(c,c) undefined in model
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_multiply,type,multiply: $i * $i * $i > $i).
% 0.17/0.36 tff(function_multiply,axiom,
% 0.17/0.36 multiply(g1,g1,g1) = g1
% 0.17/0.36 & multiply(g1,g1,g2) = g2
% 0.17/0.36 & multiply(g1,g1,c) = c
% 0.17/0.36 & multiply(g1,g2,g1) = g2
% 0.17/0.36 & multiply(g1,g2,g2) = c
% 0.17/0.36 & multiply(g1,g2,c) = g1
% 0.17/0.36 & multiply(g1,c,g1) = c
% 0.17/0.36 & multiply(g1,c,g2) = g1
% 0.17/0.36 & multiply(g1,c,c) = g2
% 0.17/0.36 & multiply(g2,g1,g1) = g2
% 0.17/0.36 & multiply(g2,g1,g2) = c
% 0.17/0.36 & multiply(g2,g1,c) = g1
% 0.17/0.36 & multiply(g2,g2,g1) = c
% 0.17/0.36 & multiply(g2,g2,g2) = g1
% 0.17/0.36 & multiply(g2,g2,c) = g2
% 0.17/0.36 & multiply(g2,c,g1) = g1
% 0.17/0.36 & multiply(g2,c,g2) = g2
% 0.17/0.36 & multiply(g2,c,c) = c
% 0.17/0.36 % multiply(c,g1,g1) undefined in model
% 0.17/0.36 % multiply(c,g1,g2) undefined in model
% 0.17/0.36 % multiply(c,g1,c) undefined in model
% 0.17/0.36 % multiply(c,g2,g1) undefined in model
% 0.17/0.36 % multiply(c,g2,g2) undefined in model
% 0.17/0.36 % multiply(c,g2,c) undefined in model
% 0.17/0.36 % multiply(c,c,g1) undefined in model
% 0.17/0.36 % multiply(c,c,g2) undefined in model
% 0.17/0.36 % multiply(c,c,c) undefined in model
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_isomorphism1,type,isomorphism1: $i > $i).
% 0.17/0.36 tff(function_isomorphism1,axiom,
% 0.17/0.36 isomorphism1(g1) = c
% 0.17/0.36 & isomorphism1(g2) = g2
% 0.17/0.36 & isomorphism1(c) = g1
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_isomorphism2,type,isomorphism2: $i > $i).
% 0.17/0.36 tff(function_isomorphism2,axiom,
% 0.17/0.36 isomorphism2(g1) = c
% 0.17/0.36 & isomorphism2(g2) = g1
% 0.17/0.36 & isomorphism2(c) = g2
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_isomorphism3,type,isomorphism3: $i > $i).
% 0.17/0.36 tff(function_isomorphism3,axiom,
% 0.17/0.36 isomorphism3(g1) = g2
% 0.17/0.36 & isomorphism3(g2) = c
% 0.17/0.36 & isomorphism3(c) = g1
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_isomorphism4,type,isomorphism4: $i > $i).
% 0.17/0.36 tff(function_isomorphism4,axiom,
% 0.17/0.36 isomorphism4(g1) = g2
% 0.17/0.36 & isomorphism4(g2) = g1
% 0.17/0.36 & isomorphism4(c) = c
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_isomorphism5,type,isomorphism5: $i > $i).
% 0.17/0.36 tff(function_isomorphism5,axiom,
% 0.17/0.36 isomorphism5(g1) = g1
% 0.17/0.36 & isomorphism5(g2) = g2
% 0.17/0.36 & isomorphism5(c) = c
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_isomorphism6,type,isomorphism6: $i > $i).
% 0.17/0.36 tff(function_isomorphism6,axiom,
% 0.17/0.36 isomorphism6(g1) = g1
% 0.17/0.36 & isomorphism6(g2) = c
% 0.17/0.36 & isomorphism6(c) = g2
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_group_member,type,group_member: $i * $i > $o ).
% 0.17/0.36 tff(predicate_group_member,axiom,
% 0.17/0.36 group_member(g1,g1)
% 0.17/0.36 & group_member(g1,g2)
% 0.17/0.36 & ~group_member(g1,c)
% 0.17/0.36 & group_member(g2,g1)
% 0.17/0.36 & group_member(g2,g2)
% 0.17/0.36 % group_member(g2,c) undefined in model
% 0.17/0.36 & group_member(c,g1)
% 0.17/0.36 & group_member(c,g2)
% 0.17/0.36 % group_member(c,c) undefined in model
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_product,type,product: $i * $i * $i * $i > $o ).
% 0.17/0.36 tff(predicate_product,axiom,
% 0.17/0.36 product(g1,g1,g1,g1)
% 0.17/0.36 & ~product(g1,g1,g1,g2)
% 0.17/0.36 & ~product(g1,g1,g1,c)
% 0.17/0.36 & ~product(g1,g1,g2,g1)
% 0.17/0.36 & product(g1,g1,g2,g2)
% 0.17/0.36 & ~product(g1,g1,g2,c)
% 0.17/0.36 & ~product(g1,g1,c,g1)
% 0.17/0.36 & ~product(g1,g1,c,g2)
% 0.17/0.36 & product(g1,g1,c,c)
% 0.17/0.36 & ~product(g1,g2,g1,g1)
% 0.17/0.36 & product(g1,g2,g1,g2)
% 0.17/0.36 & ~product(g1,g2,g1,c)
% 0.17/0.36 & ~product(g1,g2,g2,g1)
% 0.17/0.36 & ~product(g1,g2,g2,g2)
% 0.17/0.36 & product(g1,g2,g2,c)
% 0.17/0.36 & product(g1,g2,c,g1)
% 0.17/0.36 & ~product(g1,g2,c,g2)
% 0.17/0.36 & ~product(g1,g2,c,c)
% 0.17/0.36 & ~product(g1,c,g1,g1)
% 0.17/0.36 & ~product(g1,c,g1,g2)
% 0.17/0.36 & product(g1,c,g1,c)
% 0.17/0.36 & product(g1,c,g2,g1)
% 0.17/0.36 & ~product(g1,c,g2,g2)
% 0.17/0.36 & ~product(g1,c,g2,c)
% 0.17/0.36 & ~product(g1,c,c,g1)
% 0.17/0.36 & product(g1,c,c,g2)
% 0.17/0.36 & ~product(g1,c,c,c)
% 0.17/0.36 & ~product(g2,g1,g1,g1)
% 0.17/0.36 & product(g2,g1,g1,g2)
% 0.17/0.36 & ~product(g2,g1,g1,c)
% 0.17/0.36 & ~product(g2,g1,g2,g1)
% 0.17/0.36 & ~product(g2,g1,g2,g2)
% 0.17/0.36 & product(g2,g1,g2,c)
% 0.17/0.36 & product(g2,g1,c,g1)
% 0.17/0.36 & ~product(g2,g1,c,g2)
% 0.17/0.36 & ~product(g2,g1,c,c)
% 0.17/0.36 & ~product(g2,g2,g1,g1)
% 0.17/0.36 & ~product(g2,g2,g1,g2)
% 0.17/0.36 & product(g2,g2,g1,c)
% 0.17/0.36 & product(g2,g2,g2,g1)
% 0.17/0.36 & ~product(g2,g2,g2,g2)
% 0.17/0.36 & ~product(g2,g2,g2,c)
% 0.17/0.36 & ~product(g2,g2,c,g1)
% 0.17/0.36 & product(g2,g2,c,g2)
% 0.17/0.36 & ~product(g2,g2,c,c)
% 0.17/0.36 & product(g2,c,g1,g1)
% 0.17/0.36 & ~product(g2,c,g1,g2)
% 0.17/0.36 & ~product(g2,c,g1,c)
% 0.17/0.36 & ~product(g2,c,g2,g1)
% 0.17/0.36 & product(g2,c,g2,g2)
% 0.17/0.36 & ~product(g2,c,g2,c)
% 0.17/0.36 & ~product(g2,c,c,g1)
% 0.17/0.36 & ~product(g2,c,c,g2)
% 0.17/0.36 & product(g2,c,c,c)
% 0.17/0.36 & ~product(c,g1,g1,g1)
% 0.17/0.36 & ~product(c,g1,g1,g2)
% 0.17/0.36 & ~product(c,g1,g1,c)
% 0.17/0.36 & ~product(c,g1,g2,g1)
% 0.17/0.36 & ~product(c,g1,g2,g2)
% 0.17/0.36 & ~product(c,g1,g2,c)
% 0.17/0.36 & ~product(c,g1,c,g1)
% 0.17/0.36 & ~product(c,g1,c,g2)
% 0.17/0.36 & ~product(c,g1,c,c)
% 0.17/0.36 & ~product(c,g2,g1,g1)
% 0.17/0.36 & ~product(c,g2,g1,g2)
% 0.17/0.36 & ~product(c,g2,g1,c)
% 0.17/0.36 & ~product(c,g2,g2,g1)
% 0.17/0.36 & ~product(c,g2,g2,g2)
% 0.17/0.36 & ~product(c,g2,g2,c)
% 0.17/0.36 & ~product(c,g2,c,g1)
% 0.17/0.36 & ~product(c,g2,c,g2)
% 0.17/0.36 & ~product(c,g2,c,c)
% 0.17/0.36 & ~product(c,c,g1,g1)
% 0.17/0.36 & ~product(c,c,g1,g2)
% 0.17/0.36 & ~product(c,c,g1,c)
% 0.17/0.36 & ~product(c,c,g2,g1)
% 0.17/0.36 & ~product(c,c,g2,g2)
% 0.17/0.36 & ~product(c,c,g2,c)
% 0.17/0.36 & ~product(c,c,c,g1)
% 0.17/0.36 & ~product(c,c,c,g2)
% 0.17/0.36 & ~product(c,c,c,c)
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 % SZS output end FiniteModel for theBenchmark
% 0.17/0.36 % (16954)------------------------------
% 0.17/0.36 % (16954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.36 % (16954)Termination reason: Satisfiable
% 0.17/0.36
% 0.17/0.36 % (16954)Memory used [KB]: 1111
% 0.17/0.36 % (16954)Time elapsed: 0.017 s
% 0.17/0.36 % (16954)Instructions burned: 38 (million)
% 0.17/0.36 % (16950)Success in time 0.032 s
%------------------------------------------------------------------------------