TSTP Solution File: GRP123-2.005 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP123-2.005 : 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 : n029.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 05:53:28 EDT 2024
% Result : Satisfiable 0.11s 0.36s
% Output : FiniteModel 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP123-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n029.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 20:43:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (6877)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (6880)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)
% 0.11/0.34 % (6878)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (6879)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (6882)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (6881)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (6883)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (6884)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)
% 0.11/0.34 Detected minimum model sizes of [1]
% 0.11/0.34 Detected maximum model sizes of [5]
% 0.11/0.34 Detected minimum model sizes of [1]
% 0.11/0.34 Detected maximum model sizes of [5]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 Detected minimum model sizes of [1]
% 0.11/0.34 Detected minimum model sizes of [1]
% 0.11/0.34 Detected maximum model sizes of [5]
% 0.11/0.34 Detected maximum model sizes of [5]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [5]
% 0.11/0.35 TRYING [5]
% 0.11/0.35 TRYING [5]
% 0.11/0.35 TRYING [5]
% 0.11/0.36 Finite Model Found!
% 0.11/0.36 % SZS status Satisfiable for theBenchmark
% 0.11/0.36 % (6878)First to succeed.
% 0.11/0.36 % (6878)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6877"
% 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,e_1:$i).
% 0.17/0.36 tff(declare_$i2,type,e_2:$i).
% 0.17/0.36 tff(declare_$i3,type,e_3:$i).
% 0.17/0.36 tff(declare_$i4,type,e_4:$i).
% 0.17/0.36 tff(declare_$i5,type,e_5:$i).
% 0.17/0.36 tff(finite_domain,axiom,
% 0.17/0.36 ! [X:$i] : (
% 0.17/0.36 X = e_1 | X = e_2 | X = e_3 | X = e_4 | X = e_5
% 0.17/0.36 ) ).
% 0.17/0.36
% 0.17/0.36 tff(distinct_domain,axiom,
% 0.17/0.36 e_1 != e_2 & e_1 != e_3 & e_1 != e_4 & e_1 != e_5 & e_2 != e_3 &
% 0.17/0.36 e_2 != e_4 & e_2 != e_5 & e_3 != e_4 & e_3 != e_5 & e_4 != e_5
% 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_next,type,next: $i * $i > $o ).
% 0.17/0.36 tff(predicate_next,axiom,
% 0.17/0.36 ~next(e_1,e_1)
% 0.17/0.36 & next(e_1,e_2)
% 0.17/0.36 & ~next(e_1,e_3)
% 0.17/0.36 & ~next(e_1,e_4)
% 0.17/0.36 & ~next(e_1,e_5)
% 0.17/0.36 & ~next(e_2,e_1)
% 0.17/0.36 & ~next(e_2,e_2)
% 0.17/0.36 & next(e_2,e_3)
% 0.17/0.36 & ~next(e_2,e_4)
% 0.17/0.36 & ~next(e_2,e_5)
% 0.17/0.36 & ~next(e_3,e_1)
% 0.17/0.36 & ~next(e_3,e_2)
% 0.17/0.36 & ~next(e_3,e_3)
% 0.17/0.36 & next(e_3,e_4)
% 0.17/0.36 & ~next(e_3,e_5)
% 0.17/0.36 & ~next(e_4,e_1)
% 0.17/0.36 & ~next(e_4,e_2)
% 0.17/0.36 & ~next(e_4,e_3)
% 0.17/0.36 & ~next(e_4,e_4)
% 0.17/0.36 & next(e_4,e_5)
% 0.17/0.36 & ~next(e_5,e_1)
% 0.17/0.36 & ~next(e_5,e_2)
% 0.17/0.36 & ~next(e_5,e_3)
% 0.17/0.36 & ~next(e_5,e_4)
% 0.17/0.36 & ~next(e_5,e_5)
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_greater,type,greater: $i * $i > $o ).
% 0.17/0.36 tff(predicate_greater,axiom,
% 0.17/0.36 ~greater(e_1,e_1)
% 0.17/0.36 & ~greater(e_1,e_2)
% 0.17/0.36 & ~greater(e_1,e_3)
% 0.17/0.36 & ~greater(e_1,e_4)
% 0.17/0.36 & ~greater(e_1,e_5)
% 0.17/0.36 & greater(e_2,e_1)
% 0.17/0.36 & ~greater(e_2,e_2)
% 0.17/0.36 & ~greater(e_2,e_3)
% 0.17/0.36 & ~greater(e_2,e_4)
% 0.17/0.36 & ~greater(e_2,e_5)
% 0.17/0.36 & greater(e_3,e_1)
% 0.17/0.36 & greater(e_3,e_2)
% 0.17/0.36 & ~greater(e_3,e_3)
% 0.17/0.36 & ~greater(e_3,e_4)
% 0.17/0.36 & ~greater(e_3,e_5)
% 0.17/0.36 & greater(e_4,e_1)
% 0.17/0.36 & greater(e_4,e_2)
% 0.17/0.36 & greater(e_4,e_3)
% 0.17/0.36 & ~greater(e_4,e_4)
% 0.17/0.36 & ~greater(e_4,e_5)
% 0.17/0.36 & greater(e_5,e_1)
% 0.17/0.36 & greater(e_5,e_2)
% 0.17/0.36 & greater(e_5,e_3)
% 0.17/0.36 & greater(e_5,e_4)
% 0.17/0.36 & ~greater(e_5,e_5)
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_product,type,product: $i * $i * $i > $o ).
% 0.17/0.36 tff(predicate_product,axiom,
% 0.17/0.36 product(e_1,e_1,e_1)
% 0.17/0.36 & ~product(e_1,e_1,e_2)
% 0.17/0.36 & ~product(e_1,e_1,e_3)
% 0.17/0.36 & ~product(e_1,e_1,e_4)
% 0.17/0.36 & ~product(e_1,e_1,e_5)
% 0.17/0.36 & ~product(e_1,e_2,e_1)
% 0.17/0.36 & ~product(e_1,e_2,e_2)
% 0.17/0.36 & product(e_1,e_2,e_3)
% 0.17/0.36 & ~product(e_1,e_2,e_4)
% 0.17/0.36 & ~product(e_1,e_2,e_5)
% 0.17/0.36 & ~product(e_1,e_3,e_1)
% 0.17/0.36 & ~product(e_1,e_3,e_2)
% 0.17/0.36 & ~product(e_1,e_3,e_3)
% 0.17/0.36 & product(e_1,e_3,e_4)
% 0.17/0.36 & ~product(e_1,e_3,e_5)
% 0.17/0.36 & ~product(e_1,e_4,e_1)
% 0.17/0.36 & ~product(e_1,e_4,e_2)
% 0.17/0.36 & ~product(e_1,e_4,e_3)
% 0.17/0.36 & ~product(e_1,e_4,e_4)
% 0.17/0.36 & product(e_1,e_4,e_5)
% 0.17/0.36 & ~product(e_1,e_5,e_1)
% 0.17/0.36 & product(e_1,e_5,e_2)
% 0.17/0.36 & ~product(e_1,e_5,e_3)
% 0.17/0.36 & ~product(e_1,e_5,e_4)
% 0.17/0.36 & ~product(e_1,e_5,e_5)
% 0.17/0.36 & ~product(e_2,e_1,e_1)
% 0.17/0.36 & ~product(e_2,e_1,e_2)
% 0.17/0.36 & product(e_2,e_1,e_3)
% 0.17/0.36 & ~product(e_2,e_1,e_4)
% 0.17/0.36 & ~product(e_2,e_1,e_5)
% 0.17/0.36 & ~product(e_2,e_2,e_1)
% 0.17/0.36 & product(e_2,e_2,e_2)
% 0.17/0.36 & ~product(e_2,e_2,e_3)
% 0.17/0.36 & ~product(e_2,e_2,e_4)
% 0.17/0.36 & ~product(e_2,e_2,e_5)
% 0.17/0.36 & ~product(e_2,e_3,e_1)
% 0.17/0.36 & ~product(e_2,e_3,e_2)
% 0.17/0.36 & ~product(e_2,e_3,e_3)
% 0.17/0.36 & ~product(e_2,e_3,e_4)
% 0.17/0.36 & product(e_2,e_3,e_5)
% 0.17/0.36 & product(e_2,e_4,e_1)
% 0.17/0.36 & ~product(e_2,e_4,e_2)
% 0.17/0.36 & ~product(e_2,e_4,e_3)
% 0.17/0.36 & ~product(e_2,e_4,e_4)
% 0.17/0.36 & ~product(e_2,e_4,e_5)
% 0.17/0.36 & ~product(e_2,e_5,e_1)
% 0.17/0.36 & ~product(e_2,e_5,e_2)
% 0.17/0.36 & ~product(e_2,e_5,e_3)
% 0.17/0.36 & product(e_2,e_5,e_4)
% 0.17/0.36 & ~product(e_2,e_5,e_5)
% 0.17/0.36 & ~product(e_3,e_1,e_1)
% 0.17/0.36 & ~product(e_3,e_1,e_2)
% 0.17/0.36 & ~product(e_3,e_1,e_3)
% 0.17/0.36 & product(e_3,e_1,e_4)
% 0.17/0.36 & ~product(e_3,e_1,e_5)
% 0.17/0.36 & ~product(e_3,e_2,e_1)
% 0.17/0.36 & ~product(e_3,e_2,e_2)
% 0.17/0.36 & ~product(e_3,e_2,e_3)
% 0.17/0.36 & ~product(e_3,e_2,e_4)
% 0.17/0.36 & product(e_3,e_2,e_5)
% 0.17/0.36 & ~product(e_3,e_3,e_1)
% 0.17/0.36 & ~product(e_3,e_3,e_2)
% 0.17/0.36 & product(e_3,e_3,e_3)
% 0.17/0.36 & ~product(e_3,e_3,e_4)
% 0.17/0.36 & ~product(e_3,e_3,e_5)
% 0.17/0.36 & ~product(e_3,e_4,e_1)
% 0.17/0.36 & product(e_3,e_4,e_2)
% 0.17/0.36 & ~product(e_3,e_4,e_3)
% 0.17/0.36 & ~product(e_3,e_4,e_4)
% 0.17/0.36 & ~product(e_3,e_4,e_5)
% 0.17/0.36 & product(e_3,e_5,e_1)
% 0.17/0.36 & ~product(e_3,e_5,e_2)
% 0.17/0.36 & ~product(e_3,e_5,e_3)
% 0.17/0.36 & ~product(e_3,e_5,e_4)
% 0.17/0.36 & ~product(e_3,e_5,e_5)
% 0.17/0.36 & ~product(e_4,e_1,e_1)
% 0.17/0.36 & ~product(e_4,e_1,e_2)
% 0.17/0.36 & ~product(e_4,e_1,e_3)
% 0.17/0.36 & ~product(e_4,e_1,e_4)
% 0.17/0.36 & product(e_4,e_1,e_5)
% 0.17/0.36 & product(e_4,e_2,e_1)
% 0.17/0.36 & ~product(e_4,e_2,e_2)
% 0.17/0.36 & ~product(e_4,e_2,e_3)
% 0.17/0.36 & ~product(e_4,e_2,e_4)
% 0.17/0.36 & ~product(e_4,e_2,e_5)
% 0.17/0.36 & ~product(e_4,e_3,e_1)
% 0.17/0.36 & product(e_4,e_3,e_2)
% 0.17/0.36 & ~product(e_4,e_3,e_3)
% 0.17/0.36 & ~product(e_4,e_3,e_4)
% 0.17/0.36 & ~product(e_4,e_3,e_5)
% 0.17/0.36 & ~product(e_4,e_4,e_1)
% 0.17/0.36 & ~product(e_4,e_4,e_2)
% 0.17/0.36 & ~product(e_4,e_4,e_3)
% 0.17/0.36 & product(e_4,e_4,e_4)
% 0.17/0.36 & ~product(e_4,e_4,e_5)
% 0.17/0.36 & ~product(e_4,e_5,e_1)
% 0.17/0.36 & ~product(e_4,e_5,e_2)
% 0.17/0.36 & product(e_4,e_5,e_3)
% 0.17/0.36 & ~product(e_4,e_5,e_4)
% 0.17/0.36 & ~product(e_4,e_5,e_5)
% 0.17/0.36 & ~product(e_5,e_1,e_1)
% 0.17/0.36 & product(e_5,e_1,e_2)
% 0.17/0.36 & ~product(e_5,e_1,e_3)
% 0.17/0.36 & ~product(e_5,e_1,e_4)
% 0.17/0.36 & ~product(e_5,e_1,e_5)
% 0.17/0.36 & ~product(e_5,e_2,e_1)
% 0.17/0.36 & ~product(e_5,e_2,e_2)
% 0.17/0.36 & ~product(e_5,e_2,e_3)
% 0.17/0.36 & product(e_5,e_2,e_4)
% 0.17/0.36 & ~product(e_5,e_2,e_5)
% 0.17/0.36 & product(e_5,e_3,e_1)
% 0.17/0.36 & ~product(e_5,e_3,e_2)
% 0.17/0.36 & ~product(e_5,e_3,e_3)
% 0.17/0.36 & ~product(e_5,e_3,e_4)
% 0.17/0.36 & ~product(e_5,e_3,e_5)
% 0.17/0.36 & ~product(e_5,e_4,e_1)
% 0.17/0.36 & ~product(e_5,e_4,e_2)
% 0.17/0.36 & product(e_5,e_4,e_3)
% 0.17/0.36 & ~product(e_5,e_4,e_4)
% 0.17/0.36 & ~product(e_5,e_4,e_5)
% 0.17/0.36 & ~product(e_5,e_5,e_1)
% 0.17/0.36 & ~product(e_5,e_5,e_2)
% 0.17/0.36 & ~product(e_5,e_5,e_3)
% 0.17/0.36 & ~product(e_5,e_5,e_4)
% 0.17/0.36 & product(e_5,e_5,e_5)
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_group_element,type,group_element: $i > $o ).
% 0.17/0.36 tff(predicate_group_element,axiom,
% 0.17/0.36 group_element(e_1)
% 0.17/0.36 & group_element(e_2)
% 0.17/0.36 & group_element(e_3)
% 0.17/0.36 & group_element(e_4)
% 0.17/0.36 & group_element(e_5)
% 0.17/0.36
% 0.17/0.36 ).
% 0.17/0.36
% 0.17/0.36 tff(declare_equalish,type,equalish: $i * $i > $o ).
% 0.17/0.36 tff(predicate_equalish,axiom,
% 0.17/0.36 equalish(e_1,e_1)
% 0.17/0.36 & ~equalish(e_1,e_2)
% 0.17/0.36 & ~equalish(e_1,e_3)
% 0.17/0.36 & ~equalish(e_1,e_4)
% 0.17/0.36 & ~equalish(e_1,e_5)
% 0.17/0.36 & ~equalish(e_2,e_1)
% 0.17/0.36 & equalish(e_2,e_2)
% 0.17/0.36 & ~equalish(e_2,e_3)
% 0.17/0.36 & ~equalish(e_2,e_4)
% 0.17/0.36 & ~equalish(e_2,e_5)
% 0.17/0.36 & ~equalish(e_3,e_1)
% 0.17/0.36 & ~equalish(e_3,e_2)
% 0.17/0.36 & equalish(e_3,e_3)
% 0.17/0.36 & ~equalish(e_3,e_4)
% 0.17/0.36 & ~equalish(e_3,e_5)
% 0.17/0.36 & ~equalish(e_4,e_1)
% 0.17/0.36 & ~equalish(e_4,e_2)
% 0.17/0.36 & ~equalish(e_4,e_3)
% 0.17/0.36 & equalish(e_4,e_4)
% 0.17/0.36 & ~equalish(e_4,e_5)
% 0.17/0.36 & ~equalish(e_5,e_1)
% 0.17/0.36 & ~equalish(e_5,e_2)
% 0.17/0.36 & ~equalish(e_5,e_3)
% 0.17/0.36 & ~equalish(e_5,e_4)
% 0.17/0.36 & equalish(e_5,e_5)
% 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 % (6878)------------------------------
% 0.17/0.36 % (6878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.36 % (6878)Termination reason: Satisfiable
% 0.17/0.36
% 0.17/0.36 % (6878)Memory used [KB]: 1044
% 0.17/0.36 % (6878)Time elapsed: 0.015 s
% 0.17/0.36 % (6878)Instructions burned: 35 (million)
% 0.17/0.36 % (6877)Success in time 0.03 s
%------------------------------------------------------------------------------