TSTP Solution File: RNG031-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG031-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 08:55:16 EDT 2024
% Result : Satisfiable 43.63s 6.62s
% Output : FiniteModel 44.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG031-7 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:20:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (5017)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (5020)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (5022)WARNING: value z3 for option sas not known
% 0.20/0.38 % (5021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (5023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (5024)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)
% 0.20/0.38 % (5026)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)
% 0.20/0.38 % (5025)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)
% 0.20/0.38 % (5022)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [1]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.42 TRYING [4]
% 0.20/0.48 TRYING [4]
% 0.20/0.52 TRYING [5]
% 2.32/0.71 TRYING [6]
% 2.32/0.71 TRYING [5]
% 5.86/1.22 TRYING [7]
% 7.66/1.48 TRYING [1]
% 7.66/1.48 TRYING [2]
% 7.98/1.48 TRYING [3]
% 7.98/1.50 TRYING [4]
% 8.52/1.61 TRYING [5]
% 11.03/1.93 TRYING [6]
% 11.39/1.99 TRYING [6]
% 19.95/3.23 TRYING [8]
% 20.29/3.26 TRYING [7]
% 43.63/6.62 Finite Model Found!
% 43.63/6.62 % SZS status Satisfiable for theBenchmark
% 44.12/6.64 % (5023)First to succeed.
% 44.12/6.64 % (5023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5017"
% 44.12/6.65 % SZS output start FiniteModel for theBenchmark
% 44.12/6.65 tff(declare_$i,type,$i:$tType).
% 44.12/6.65 tff(declare_$i1,type,additive_identity:$i).
% 44.12/6.65 tff(declare_$i2,type,x:$i).
% 44.12/6.65 tff(declare_$i3,type,y:$i).
% 44.12/6.65 tff(declare_$i4,type,fmb_$i_4:$i).
% 44.12/6.65 tff(declare_$i5,type,fmb_$i_5:$i).
% 44.12/6.65 tff(declare_$i6,type,fmb_$i_6:$i).
% 44.12/6.65 tff(declare_$i7,type,fmb_$i_7:$i).
% 44.12/6.65 tff(declare_$i8,type,fmb_$i_8:$i).
% 44.12/6.65 tff(finite_domain,axiom,
% 44.12/6.65 ! [X:$i] : (
% 44.12/6.65 X = additive_identity | X = x | X = y | X = fmb_$i_4 | X = fmb_$i_5 |
% 44.12/6.65 X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8
% 44.12/6.65 ) ).
% 44.12/6.65
% 44.12/6.65 tff(distinct_domain,axiom,
% 44.12/6.65 additive_identity != x & additive_identity != y & additive_identity != fmb_$i_4 & additive_identity != fmb_$i_5 & additive_identity != fmb_$i_6 &
% 44.12/6.65 additive_identity != fmb_$i_7 & additive_identity != fmb_$i_8 & x != y & x != fmb_$i_4 & x != fmb_$i_5 &
% 44.12/6.65 x != fmb_$i_6 & x != fmb_$i_7 & x != fmb_$i_8 & y != fmb_$i_4 & y != fmb_$i_5 &
% 44.12/6.65 y != fmb_$i_6 & y != fmb_$i_7 & y != fmb_$i_8 & fmb_$i_4 != fmb_$i_5 & fmb_$i_4 != fmb_$i_6 &
% 44.12/6.65 fmb_$i_4 != fmb_$i_7 & fmb_$i_4 != fmb_$i_8 & fmb_$i_5 != fmb_$i_6 & fmb_$i_5 != fmb_$i_7 & fmb_$i_5 != fmb_$i_8 &
% 44.12/6.65 fmb_$i_6 != fmb_$i_7 & fmb_$i_6 != fmb_$i_8 & fmb_$i_7 != fmb_$i_8
% 44.12/6.65 ).
% 44.12/6.65
% 44.12/6.65 tff(declare_bool,type,$o:$tType).
% 44.12/6.65 tff(declare_bool1,type,fmb_bool_1:$o).
% 44.12/6.65 tff(finite_domain,axiom,
% 44.12/6.65 ! [X:$o] : (
% 44.12/6.65 X = fmb_bool_1
% 44.12/6.65 ) ).
% 44.12/6.65
% 44.12/6.65 tff(declare_additive_inverse,type,additive_inverse: $i > $i).
% 44.12/6.65 tff(function_additive_inverse,axiom,
% 44.12/6.65 additive_inverse(additive_identity) = additive_identity
% 44.12/6.65 & additive_inverse(x) = x
% 44.12/6.65 & additive_inverse(y) = y
% 44.12/6.65 & additive_inverse(fmb_$i_4) = fmb_$i_4
% 44.12/6.65 & additive_inverse(fmb_$i_5) = fmb_$i_5
% 44.12/6.65 & additive_inverse(fmb_$i_6) = fmb_$i_6
% 44.12/6.65 & additive_inverse(fmb_$i_7) = fmb_$i_7
% 44.12/6.65 & additive_inverse(fmb_$i_8) = fmb_$i_8
% 44.12/6.65
% 44.12/6.65 ).
% 44.12/6.65
% 44.12/6.65 tff(declare_multiply,type,multiply: $i * $i > $i).
% 44.12/6.65 tff(function_multiply,axiom,
% 44.12/6.65 multiply(additive_identity,additive_identity) = additive_identity
% 44.12/6.65 & multiply(additive_identity,x) = additive_identity
% 44.12/6.65 & multiply(additive_identity,y) = additive_identity
% 44.12/6.65 & multiply(additive_identity,fmb_$i_4) = additive_identity
% 44.12/6.65 & multiply(additive_identity,fmb_$i_5) = additive_identity
% 44.12/6.65 & multiply(additive_identity,fmb_$i_6) = additive_identity
% 44.12/6.65 & multiply(additive_identity,fmb_$i_7) = additive_identity
% 44.12/6.65 & multiply(additive_identity,fmb_$i_8) = additive_identity
% 44.12/6.65 & multiply(x,additive_identity) = additive_identity
% 44.12/6.65 & multiply(x,x) = fmb_$i_4
% 44.12/6.65 & multiply(x,y) = fmb_$i_5
% 44.12/6.65 & multiply(x,fmb_$i_4) = x
% 44.12/6.65 & multiply(x,fmb_$i_5) = fmb_$i_5
% 44.12/6.65 & multiply(x,fmb_$i_6) = additive_identity
% 44.12/6.65 & multiply(x,fmb_$i_7) = fmb_$i_4
% 44.12/6.65 & multiply(x,fmb_$i_8) = x
% 44.12/6.65 & multiply(y,additive_identity) = additive_identity
% 44.12/6.65 & multiply(y,x) = x
% 44.12/6.65 & multiply(y,y) = fmb_$i_4
% 44.12/6.65 & multiply(y,fmb_$i_4) = fmb_$i_4
% 44.12/6.65 & multiply(y,fmb_$i_5) = fmb_$i_5
% 44.12/6.65 & multiply(y,fmb_$i_6) = x
% 44.12/6.65 & multiply(y,fmb_$i_7) = additive_identity
% 44.12/6.65 & multiply(y,fmb_$i_8) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_4,additive_identity) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_4,x) = x
% 44.12/6.65 & multiply(fmb_$i_4,y) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_4,fmb_$i_6) = x
% 44.12/6.65 & multiply(fmb_$i_4,fmb_$i_7) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_4,fmb_$i_8) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_5,additive_identity) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_5,x) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_5,y) = x
% 44.12/6.65 & multiply(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_5,fmb_$i_5) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_5,fmb_$i_6) = x
% 44.12/6.65 & multiply(fmb_$i_5,fmb_$i_7) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_5,fmb_$i_8) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_6,additive_identity) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_6,x) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_6,y) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_6,fmb_$i_4) = x
% 44.12/6.65 & multiply(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_6,fmb_$i_6) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_6,fmb_$i_7) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_6,fmb_$i_8) = x
% 44.12/6.65 & multiply(fmb_$i_7,additive_identity) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,x) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,y) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,fmb_$i_4) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,fmb_$i_5) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,fmb_$i_6) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,fmb_$i_7) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_7,fmb_$i_8) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_8,additive_identity) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_8,x) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_8,y) = x
% 44.12/6.65 & multiply(fmb_$i_8,fmb_$i_4) = fmb_$i_5
% 44.12/6.65 & multiply(fmb_$i_8,fmb_$i_5) = additive_identity
% 44.12/6.65 & multiply(fmb_$i_8,fmb_$i_6) = x
% 44.12/6.65 & multiply(fmb_$i_8,fmb_$i_7) = fmb_$i_4
% 44.12/6.65 & multiply(fmb_$i_8,fmb_$i_8) = fmb_$i_4
% 44.12/6.65
% 44.12/6.65 ).
% 44.12/6.65
% 44.12/6.65 tff(declare_add,type,add: $i * $i > $i).
% 44.12/6.65 tff(function_add,axiom,
% 44.12/6.65 add(additive_identity,additive_identity) = additive_identity
% 44.12/6.65 & add(additive_identity,x) = x
% 44.12/6.65 & add(additive_identity,y) = y
% 44.12/6.65 & add(additive_identity,fmb_$i_4) = fmb_$i_4
% 44.12/6.65 & add(additive_identity,fmb_$i_5) = fmb_$i_5
% 44.12/6.65 & add(additive_identity,fmb_$i_6) = fmb_$i_6
% 44.12/6.65 & add(additive_identity,fmb_$i_7) = fmb_$i_7
% 44.12/6.65 & add(additive_identity,fmb_$i_8) = fmb_$i_8
% 44.12/6.65 & add(x,additive_identity) = x
% 44.12/6.65 & add(x,x) = additive_identity
% 44.12/6.65 & add(x,y) = fmb_$i_8
% 44.12/6.65 & add(x,fmb_$i_4) = fmb_$i_5
% 44.12/6.65 & add(x,fmb_$i_5) = fmb_$i_4
% 44.12/6.65 & add(x,fmb_$i_6) = fmb_$i_7
% 44.12/6.65 & add(x,fmb_$i_7) = fmb_$i_6
% 44.12/6.65 & add(x,fmb_$i_8) = y
% 44.12/6.65 & add(y,additive_identity) = y
% 44.12/6.65 & add(y,x) = fmb_$i_8
% 44.12/6.65 & add(y,y) = additive_identity
% 44.12/6.65 & add(y,fmb_$i_4) = fmb_$i_7
% 44.12/6.65 & add(y,fmb_$i_5) = fmb_$i_6
% 44.12/6.65 & add(y,fmb_$i_6) = fmb_$i_5
% 44.12/6.65 & add(y,fmb_$i_7) = fmb_$i_4
% 44.12/6.65 & add(y,fmb_$i_8) = x
% 44.12/6.65 & add(fmb_$i_4,additive_identity) = fmb_$i_4
% 44.12/6.65 & add(fmb_$i_4,x) = fmb_$i_5
% 44.12/6.65 & add(fmb_$i_4,y) = fmb_$i_7
% 44.12/6.65 & add(fmb_$i_4,fmb_$i_4) = additive_identity
% 44.12/6.65 & add(fmb_$i_4,fmb_$i_5) = x
% 44.12/6.65 & add(fmb_$i_4,fmb_$i_6) = fmb_$i_8
% 44.12/6.65 & add(fmb_$i_4,fmb_$i_7) = y
% 44.12/6.65 & add(fmb_$i_4,fmb_$i_8) = fmb_$i_6
% 44.12/6.65 & add(fmb_$i_5,additive_identity) = fmb_$i_5
% 44.12/6.65 & add(fmb_$i_5,x) = fmb_$i_4
% 44.12/6.65 & add(fmb_$i_5,y) = fmb_$i_6
% 44.12/6.65 & add(fmb_$i_5,fmb_$i_4) = x
% 44.12/6.65 & add(fmb_$i_5,fmb_$i_5) = additive_identity
% 44.12/6.65 & add(fmb_$i_5,fmb_$i_6) = y
% 44.12/6.65 & add(fmb_$i_5,fmb_$i_7) = fmb_$i_8
% 44.12/6.65 & add(fmb_$i_5,fmb_$i_8) = fmb_$i_7
% 44.12/6.65 & add(fmb_$i_6,additive_identity) = fmb_$i_6
% 44.12/6.65 & add(fmb_$i_6,x) = fmb_$i_7
% 44.12/6.65 & add(fmb_$i_6,y) = fmb_$i_5
% 44.12/6.65 & add(fmb_$i_6,fmb_$i_4) = fmb_$i_8
% 44.12/6.65 & add(fmb_$i_6,fmb_$i_5) = y
% 44.12/6.65 & add(fmb_$i_6,fmb_$i_6) = additive_identity
% 44.12/6.65 & add(fmb_$i_6,fmb_$i_7) = x
% 44.12/6.65 & add(fmb_$i_6,fmb_$i_8) = fmb_$i_4
% 44.12/6.65 & add(fmb_$i_7,additive_identity) = fmb_$i_7
% 44.12/6.65 & add(fmb_$i_7,x) = fmb_$i_6
% 44.12/6.65 & add(fmb_$i_7,y) = fmb_$i_4
% 44.12/6.65 & add(fmb_$i_7,fmb_$i_4) = y
% 44.12/6.65 & add(fmb_$i_7,fmb_$i_5) = fmb_$i_8
% 44.12/6.65 & add(fmb_$i_7,fmb_$i_6) = x
% 44.12/6.65 & add(fmb_$i_7,fmb_$i_7) = additive_identity
% 44.12/6.65 & add(fmb_$i_7,fmb_$i_8) = fmb_$i_5
% 44.12/6.65 & add(fmb_$i_8,additive_identity) = fmb_$i_8
% 44.12/6.65 & add(fmb_$i_8,x) = y
% 44.12/6.65 & add(fmb_$i_8,y) = x
% 44.12/6.65 & add(fmb_$i_8,fmb_$i_4) = fmb_$i_6
% 44.12/6.65 & add(fmb_$i_8,fmb_$i_5) = fmb_$i_7
% 44.12/6.65 & add(fmb_$i_8,fmb_$i_6) = fmb_$i_4
% 44.12/6.65 & add(fmb_$i_8,fmb_$i_7) = fmb_$i_5
% 44.12/6.65 & add(fmb_$i_8,fmb_$i_8) = additive_identity
% 44.12/6.65
% 44.12/6.65 ).
% 44.12/6.65
% 44.12/6.65 % SZS output end FiniteModel for theBenchmark
% 44.12/6.65 % (5023)------------------------------
% 44.12/6.65 % (5023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 44.12/6.65 % (5023)Termination reason: Satisfiable
% 44.12/6.65
% 44.12/6.65 % (5023)Memory used [KB]: 36584
% 44.12/6.65 % (5023)Time elapsed: 6.264 s
% 44.12/6.65 % (5023)Instructions burned: 21930 (million)
% 44.12/6.65 % (5017)Success in time 6.25 s
%------------------------------------------------------------------------------