TSTP Solution File: GRP129-2.005 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP129-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 11:51:47 EDT 2024
% Result : Satisfiable 0.20s 0.39s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP129-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:49:17 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (17744)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (17745)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (17747)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)
% 0.14/0.38 % (17749)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (17748)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (17750)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (17751)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)
% 0.14/0.38 % (17746)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 Finite Model Found!
% 0.20/0.39 % SZS status Satisfiable for theBenchmark
% 0.20/0.39 % (17745)First to succeed.
% 0.20/0.40 % SZS output start FiniteModel for theBenchmark
% 0.20/0.40 tff(declare_$i,type,$i:$tType).
% 0.20/0.40 tff(declare_$i1,type,e_1:$i).
% 0.20/0.40 tff(declare_$i2,type,e_2:$i).
% 0.20/0.40 tff(declare_$i3,type,e_3:$i).
% 0.20/0.40 tff(declare_$i4,type,e_4:$i).
% 0.20/0.40 tff(declare_$i5,type,e_5:$i).
% 0.20/0.40 tff(finite_domain,axiom,
% 0.20/0.40 ! [X:$i] : (
% 0.20/0.40 X = e_1 | X = e_2 | X = e_3 | X = e_4 | X = e_5
% 0.20/0.40 ) ).
% 0.20/0.40
% 0.20/0.40 tff(distinct_domain,axiom,
% 0.20/0.40 e_1 != e_2 & e_1 != e_3 & e_1 != e_4 & e_1 != e_5 & e_2 != e_3 &
% 0.20/0.40 e_2 != e_4 & e_2 != e_5 & e_3 != e_4 & e_3 != e_5 & e_4 != e_5
% 0.20/0.40 ).
% 0.20/0.40
% 0.20/0.40 tff(declare_bool,type,$o:$tType).
% 0.20/0.40 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.20/0.40 tff(finite_domain,axiom,
% 0.20/0.40 ! [X:$o] : (
% 0.20/0.40 X = fmb_bool_1
% 0.20/0.40 ) ).
% 0.20/0.40
% 0.20/0.40 tff(declare_next,type,next: $i * $i > $o ).
% 0.20/0.40 tff(predicate_next,axiom,
% 0.20/0.40 ~next(e_1,e_1)
% 0.20/0.40 & next(e_1,e_2)
% 0.20/0.40 & ~next(e_1,e_3)
% 0.20/0.40 & ~next(e_1,e_4)
% 0.20/0.40 & next(e_1,e_5)
% 0.20/0.40 & ~next(e_2,e_1)
% 0.20/0.40 & ~next(e_2,e_2)
% 0.20/0.40 & next(e_2,e_3)
% 0.20/0.40 & ~next(e_2,e_4)
% 0.20/0.40 & next(e_2,e_5)
% 0.20/0.40 & ~next(e_3,e_1)
% 0.20/0.40 & ~next(e_3,e_2)
% 0.20/0.40 & ~next(e_3,e_3)
% 0.20/0.40 & next(e_3,e_4)
% 0.20/0.40 & next(e_3,e_5)
% 0.20/0.40 & ~next(e_4,e_1)
% 0.20/0.40 & ~next(e_4,e_2)
% 0.20/0.40 & ~next(e_4,e_3)
% 0.20/0.40 & ~next(e_4,e_4)
% 0.20/0.40 & next(e_4,e_5)
% 0.20/0.40 & ~next(e_5,e_1)
% 0.20/0.40 & ~next(e_5,e_2)
% 0.20/0.40 & ~next(e_5,e_3)
% 0.20/0.40 & ~next(e_5,e_4)
% 0.20/0.40 & ~next(e_5,e_5)
% 0.20/0.40
% 0.20/0.40 ).
% 0.20/0.40
% 0.20/0.40 tff(declare_greater,type,greater: $i * $i > $o ).
% 0.20/0.40 tff(predicate_greater,axiom,
% 0.20/0.40 greater(e_1,e_1)
% 0.20/0.40 & ~greater(e_1,e_2)
% 0.20/0.40 & ~greater(e_1,e_3)
% 0.20/0.40 & ~greater(e_1,e_4)
% 0.20/0.40 & ~greater(e_1,e_5)
% 0.20/0.40 & greater(e_2,e_1)
% 0.20/0.40 & ~greater(e_2,e_2)
% 0.20/0.40 & ~greater(e_2,e_3)
% 0.20/0.40 & ~greater(e_2,e_4)
% 0.20/0.40 & ~greater(e_2,e_5)
% 0.20/0.40 & greater(e_3,e_1)
% 0.20/0.40 & greater(e_3,e_2)
% 0.20/0.40 & ~greater(e_3,e_3)
% 0.20/0.40 & ~greater(e_3,e_4)
% 0.20/0.40 & ~greater(e_3,e_5)
% 0.20/0.40 & greater(e_4,e_1)
% 0.20/0.40 & greater(e_4,e_2)
% 0.20/0.40 & greater(e_4,e_3)
% 0.20/0.40 & ~greater(e_4,e_4)
% 0.20/0.40 & ~greater(e_4,e_5)
% 0.20/0.40 & greater(e_5,e_1)
% 0.20/0.40 & greater(e_5,e_2)
% 0.20/0.40 & greater(e_5,e_3)
% 0.20/0.40 & greater(e_5,e_4)
% 0.20/0.40 & ~greater(e_5,e_5)
% 0.20/0.40
% 0.20/0.40 ).
% 0.20/0.40
% 0.20/0.40 tff(declare_product,type,product: $i * $i * $i > $o ).
% 0.20/0.40 tff(predicate_product,axiom,
% 0.20/0.40 product(e_1,e_1,e_1)
% 0.20/0.40 & ~product(e_1,e_1,e_2)
% 0.20/0.40 & ~product(e_1,e_1,e_3)
% 0.20/0.40 & ~product(e_1,e_1,e_4)
% 0.20/0.40 & ~product(e_1,e_1,e_5)
% 0.20/0.40 & ~product(e_1,e_2,e_1)
% 0.20/0.40 & ~product(e_1,e_2,e_2)
% 0.20/0.40 & ~product(e_1,e_2,e_3)
% 0.20/0.40 & product(e_1,e_2,e_4)
% 0.20/0.40 & ~product(e_1,e_2,e_5)
% 0.20/0.40 & ~product(e_1,e_3,e_1)
% 0.20/0.40 & ~product(e_1,e_3,e_2)
% 0.20/0.40 & ~product(e_1,e_3,e_3)
% 0.20/0.40 & ~product(e_1,e_3,e_4)
% 0.20/0.40 & product(e_1,e_3,e_5)
% 0.20/0.40 & ~product(e_1,e_4,e_1)
% 0.20/0.40 & ~product(e_1,e_4,e_2)
% 0.20/0.40 & product(e_1,e_4,e_3)
% 0.20/0.40 & ~product(e_1,e_4,e_4)
% 0.20/0.40 & ~product(e_1,e_4,e_5)
% 0.20/0.40 & ~product(e_1,e_5,e_1)
% 0.20/0.40 & product(e_1,e_5,e_2)
% 0.20/0.40 & ~product(e_1,e_5,e_3)
% 0.20/0.40 & ~product(e_1,e_5,e_4)
% 0.20/0.40 & ~product(e_1,e_5,e_5)
% 0.20/0.40 & ~product(e_2,e_1,e_1)
% 0.20/0.40 & ~product(e_2,e_1,e_2)
% 0.20/0.40 & product(e_2,e_1,e_3)
% 0.20/0.40 & ~product(e_2,e_1,e_4)
% 0.20/0.40 & ~product(e_2,e_1,e_5)
% 0.20/0.40 & ~product(e_2,e_2,e_1)
% 0.20/0.40 & product(e_2,e_2,e_2)
% 0.20/0.40 & ~product(e_2,e_2,e_3)
% 0.20/0.40 & ~product(e_2,e_2,e_4)
% 0.20/0.40 & ~product(e_2,e_2,e_5)
% 0.20/0.40 & ~product(e_2,e_3,e_1)
% 0.20/0.40 & ~product(e_2,e_3,e_2)
% 0.20/0.40 & ~product(e_2,e_3,e_3)
% 0.20/0.40 & product(e_2,e_3,e_4)
% 0.20/0.40 & ~product(e_2,e_3,e_5)
% 0.20/0.40 & ~product(e_2,e_4,e_1)
% 0.20/0.40 & ~product(e_2,e_4,e_2)
% 0.20/0.40 & ~product(e_2,e_4,e_3)
% 0.20/0.40 & ~product(e_2,e_4,e_4)
% 0.20/0.40 & product(e_2,e_4,e_5)
% 0.20/0.40 & product(e_2,e_5,e_1)
% 0.20/0.40 & ~product(e_2,e_5,e_2)
% 0.20/0.40 & ~product(e_2,e_5,e_3)
% 0.20/0.40 & ~product(e_2,e_5,e_4)
% 0.20/0.40 & ~product(e_2,e_5,e_5)
% 0.20/0.40 & ~product(e_3,e_1,e_1)
% 0.20/0.40 & product(e_3,e_1,e_2)
% 0.20/0.40 & ~product(e_3,e_1,e_3)
% 0.20/0.40 & ~product(e_3,e_1,e_4)
% 0.20/0.40 & ~product(e_3,e_1,e_5)
% 0.20/0.40 & ~product(e_3,e_2,e_1)
% 0.20/0.40 & ~product(e_3,e_2,e_2)
% 0.20/0.40 & ~product(e_3,e_2,e_3)
% 0.20/0.40 & ~product(e_3,e_2,e_4)
% 0.20/0.40 & product(e_3,e_2,e_5)
% 0.20/0.40 & ~product(e_3,e_3,e_1)
% 0.20/0.40 & ~product(e_3,e_3,e_2)
% 0.20/0.40 & product(e_3,e_3,e_3)
% 0.20/0.40 & ~product(e_3,e_3,e_4)
% 0.20/0.40 & ~product(e_3,e_3,e_5)
% 0.20/0.40 & product(e_3,e_4,e_1)
% 0.20/0.40 & ~product(e_3,e_4,e_2)
% 0.20/0.40 & ~product(e_3,e_4,e_3)
% 0.20/0.40 & ~product(e_3,e_4,e_4)
% 0.20/0.40 & ~product(e_3,e_4,e_5)
% 0.20/0.40 & ~product(e_3,e_5,e_1)
% 0.20/0.40 & ~product(e_3,e_5,e_2)
% 0.20/0.40 & ~product(e_3,e_5,e_3)
% 0.20/0.40 & product(e_3,e_5,e_4)
% 0.20/0.40 & ~product(e_3,e_5,e_5)
% 0.20/0.40 & ~product(e_4,e_1,e_1)
% 0.20/0.40 & ~product(e_4,e_1,e_2)
% 0.20/0.40 & ~product(e_4,e_1,e_3)
% 0.20/0.40 & ~product(e_4,e_1,e_4)
% 0.20/0.40 & product(e_4,e_1,e_5)
% 0.20/0.40 & product(e_4,e_2,e_1)
% 0.20/0.40 & ~product(e_4,e_2,e_2)
% 0.20/0.40 & ~product(e_4,e_2,e_3)
% 0.20/0.40 & ~product(e_4,e_2,e_4)
% 0.20/0.40 & ~product(e_4,e_2,e_5)
% 0.20/0.40 & ~product(e_4,e_3,e_1)
% 0.20/0.40 & product(e_4,e_3,e_2)
% 0.20/0.40 & ~product(e_4,e_3,e_3)
% 0.20/0.40 & ~product(e_4,e_3,e_4)
% 0.20/0.40 & ~product(e_4,e_3,e_5)
% 0.20/0.40 & ~product(e_4,e_4,e_1)
% 0.20/0.40 & ~product(e_4,e_4,e_2)
% 0.20/0.40 & ~product(e_4,e_4,e_3)
% 0.20/0.40 & product(e_4,e_4,e_4)
% 0.20/0.40 & ~product(e_4,e_4,e_5)
% 0.20/0.40 & ~product(e_4,e_5,e_1)
% 0.20/0.40 & ~product(e_4,e_5,e_2)
% 0.20/0.40 & product(e_4,e_5,e_3)
% 0.20/0.40 & ~product(e_4,e_5,e_4)
% 0.20/0.40 & ~product(e_4,e_5,e_5)
% 0.20/0.40 & ~product(e_5,e_1,e_1)
% 0.20/0.40 & ~product(e_5,e_1,e_2)
% 0.20/0.40 & ~product(e_5,e_1,e_3)
% 0.20/0.40 & product(e_5,e_1,e_4)
% 0.20/0.40 & ~product(e_5,e_1,e_5)
% 0.20/0.40 & ~product(e_5,e_2,e_1)
% 0.20/0.40 & ~product(e_5,e_2,e_2)
% 0.20/0.40 & product(e_5,e_2,e_3)
% 0.20/0.40 & ~product(e_5,e_2,e_4)
% 0.20/0.40 & ~product(e_5,e_2,e_5)
% 0.20/0.40 & product(e_5,e_3,e_1)
% 0.20/0.40 & ~product(e_5,e_3,e_2)
% 0.20/0.40 & ~product(e_5,e_3,e_3)
% 0.20/0.40 & ~product(e_5,e_3,e_4)
% 0.20/0.40 & ~product(e_5,e_3,e_5)
% 0.20/0.40 & ~product(e_5,e_4,e_1)
% 0.20/0.40 & product(e_5,e_4,e_2)
% 0.20/0.40 & ~product(e_5,e_4,e_3)
% 0.20/0.40 & ~product(e_5,e_4,e_4)
% 0.20/0.40 & ~product(e_5,e_4,e_5)
% 0.20/0.40 & ~product(e_5,e_5,e_1)
% 0.20/0.40 & ~product(e_5,e_5,e_2)
% 0.20/0.40 & ~product(e_5,e_5,e_3)
% 0.20/0.40 & ~product(e_5,e_5,e_4)
% 0.20/0.40 & product(e_5,e_5,e_5)
% 0.20/0.40
% 0.20/0.40 ).
% 0.20/0.40
% 0.20/0.40 tff(declare_group_element,type,group_element: $i > $o ).
% 0.20/0.40 tff(predicate_group_element,axiom,
% 0.20/0.40 group_element(e_1)
% 0.20/0.40 & group_element(e_2)
% 0.20/0.40 & group_element(e_3)
% 0.20/0.40 & group_element(e_4)
% 0.20/0.40 & group_element(e_5)
% 0.20/0.40
% 0.20/0.40 ).
% 0.20/0.40
% 0.20/0.40 tff(declare_equalish,type,equalish: $i * $i > $o ).
% 0.20/0.40 tff(predicate_equalish,axiom,
% 0.20/0.40 equalish(e_1,e_1)
% 0.20/0.40 & ~equalish(e_1,e_2)
% 0.20/0.40 & ~equalish(e_1,e_3)
% 0.20/0.40 & ~equalish(e_1,e_4)
% 0.20/0.40 & ~equalish(e_1,e_5)
% 0.20/0.40 & ~equalish(e_2,e_1)
% 0.20/0.40 & equalish(e_2,e_2)
% 0.20/0.40 & ~equalish(e_2,e_3)
% 0.20/0.40 & ~equalish(e_2,e_4)
% 0.20/0.40 & ~equalish(e_2,e_5)
% 0.20/0.40 & ~equalish(e_3,e_1)
% 0.20/0.40 & ~equalish(e_3,e_2)
% 0.20/0.40 & equalish(e_3,e_3)
% 0.20/0.40 & ~equalish(e_3,e_4)
% 0.20/0.40 & ~equalish(e_3,e_5)
% 0.20/0.40 & ~equalish(e_4,e_1)
% 0.20/0.40 & ~equalish(e_4,e_2)
% 0.20/0.40 & ~equalish(e_4,e_3)
% 0.20/0.40 & equalish(e_4,e_4)
% 0.20/0.40 & ~equalish(e_4,e_5)
% 0.20/0.40 & ~equalish(e_5,e_1)
% 0.20/0.40 & ~equalish(e_5,e_2)
% 0.20/0.40 & ~equalish(e_5,e_3)
% 0.20/0.40 & ~equalish(e_5,e_4)
% 0.20/0.40 & equalish(e_5,e_5)
% 0.20/0.40
% 0.20/0.40 ).
% 0.20/0.40
% 0.20/0.40 % SZS output end FiniteModel for theBenchmark
% 0.20/0.40 % (17745)------------------------------
% 0.20/0.40 % (17745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40 % (17745)Termination reason: Satisfiable
% 0.20/0.40
% 0.20/0.40 % (17745)Memory used [KB]: 881
% 0.20/0.40 % (17745)Time elapsed: 0.020 s
% 0.20/0.40 % (17745)Instructions burned: 44 (million)
% 0.20/0.40 % (17745)------------------------------
% 0.20/0.40 % (17745)------------------------------
% 0.20/0.40 % (17744)Success in time 0.036 s
%------------------------------------------------------------------------------