TSTP Solution File: KLE172+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE172+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 13:12:06 EDT 2024
% Result : CounterSatisfiable 0.19s 0.40s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE172+1 : TPTP v8.1.2. Released v5.5.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 05:35:58 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.34 % (26709)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.35 % (26712)WARNING: value z3 for option sas not known
% 0.19/0.35 % (26713)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.35 % (26716)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)
% 0.19/0.35 % (26711)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36 % (26714)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)
% 0.19/0.36 % (26712)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)
% 0.19/0.36 % (26715)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)
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.36 TRYING [3]
% 0.19/0.36 % (26710)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [4]
% 0.19/0.37 TRYING [2]
% 0.19/0.39 TRYING [3]
% 0.19/0.40 Finite Model Found!
% 0.19/0.40 % SZS status CounterSatisfiable for theBenchmark
% 0.19/0.40 % (26713)First to succeed.
% 0.19/0.40 % SZS output start FiniteModel for theBenchmark
% 0.19/0.40 tff(declare_$i,type,$i:$tType).
% 0.19/0.40 tff(declare_$i1,type,zero:$i).
% 0.19/0.40 tff(declare_$i2,type,one:$i).
% 0.19/0.40 tff(declare_$i3,type,sigma:$i).
% 0.19/0.40 tff(declare_$i4,type,a:$i).
% 0.19/0.40 tff(finite_domain,axiom,
% 0.19/0.40 ! [X:$i] : (
% 0.19/0.40 X = zero | X = one | X = sigma | X = a
% 0.19/0.40 ) ).
% 0.19/0.40
% 0.19/0.40 tff(distinct_domain,axiom,
% 0.19/0.40 zero != one & zero != sigma & zero != a & one != sigma & one != a &
% 0.19/0.40 sigma != a
% 0.19/0.40 ).
% 0.19/0.40
% 0.19/0.40 tff(declare_bool,type,$o:$tType).
% 0.19/0.40 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.19/0.40 tff(finite_domain,axiom,
% 0.19/0.40 ! [X:$o] : (
% 0.19/0.40 X = fmb_bool_1
% 0.19/0.40 ) ).
% 0.19/0.40
% 0.19/0.40 tff(declare_b,type,b:$i).
% 0.19/0.40 tff(b_definition,axiom,b = sigma).
% 0.19/0.40 tff(declare_addition,type,addition: $i * $i > $i).
% 0.19/0.40 tff(function_addition,axiom,
% 0.19/0.40 addition(zero,zero) = zero
% 0.19/0.40 & addition(zero,one) = one
% 0.19/0.40 & addition(zero,sigma) = sigma
% 0.19/0.40 & addition(zero,a) = a
% 0.19/0.40 & addition(one,zero) = one
% 0.19/0.40 & addition(one,one) = one
% 0.19/0.40 & addition(one,sigma) = sigma
% 0.19/0.40 & addition(one,a) = one
% 0.19/0.40 & addition(sigma,zero) = sigma
% 0.19/0.40 & addition(sigma,one) = sigma
% 0.19/0.40 & addition(sigma,sigma) = sigma
% 0.19/0.40 & addition(sigma,a) = sigma
% 0.19/0.40 & addition(a,zero) = a
% 0.19/0.40 & addition(a,one) = one
% 0.19/0.40 & addition(a,sigma) = sigma
% 0.19/0.40 & addition(a,a) = a
% 0.19/0.40
% 0.19/0.40 ).
% 0.19/0.40
% 0.19/0.40 tff(declare_multiplication,type,multiplication: $i * $i > $i).
% 0.19/0.40 tff(function_multiplication,axiom,
% 0.19/0.40 multiplication(zero,zero) = zero
% 0.19/0.40 & multiplication(zero,one) = zero
% 0.19/0.40 & multiplication(zero,sigma) = zero
% 0.19/0.40 & multiplication(zero,a) = zero
% 0.19/0.40 & multiplication(one,zero) = zero
% 0.19/0.40 & multiplication(one,one) = one
% 0.19/0.40 & multiplication(one,sigma) = sigma
% 0.19/0.40 & multiplication(one,a) = a
% 0.19/0.40 & multiplication(sigma,zero) = zero
% 0.19/0.40 & multiplication(sigma,one) = sigma
% 0.19/0.40 & multiplication(sigma,sigma) = sigma
% 0.19/0.40 & multiplication(sigma,a) = a
% 0.19/0.40 & multiplication(a,zero) = zero
% 0.19/0.40 & multiplication(a,one) = a
% 0.19/0.40 & multiplication(a,sigma) = sigma
% 0.19/0.40 & multiplication(a,a) = a
% 0.19/0.40
% 0.19/0.40 ).
% 0.19/0.40
% 0.19/0.40 tff(declare_star,type,star: $i > $i).
% 0.19/0.40 tff(function_star,axiom,
% 0.19/0.40 star(zero) = one
% 0.19/0.40 & star(one) = one
% 0.19/0.40 & star(sigma) = sigma
% 0.19/0.40 & star(a) = one
% 0.19/0.40
% 0.19/0.40 ).
% 0.19/0.40
% 0.19/0.40 tff(declare_leq,type,leq: $i * $i > $o ).
% 0.19/0.40 tff(predicate_leq,axiom,
% 0.19/0.40 leq(zero,zero)
% 0.19/0.40 & leq(zero,one)
% 0.19/0.40 & leq(zero,sigma)
% 0.19/0.40 & leq(zero,a)
% 0.19/0.40 & ~leq(one,zero)
% 0.19/0.40 & leq(one,one)
% 0.19/0.40 & leq(one,sigma)
% 0.19/0.40 & ~leq(one,a)
% 0.19/0.40 & ~leq(sigma,zero)
% 0.19/0.40 & ~leq(sigma,one)
% 0.19/0.40 & leq(sigma,sigma)
% 0.19/0.40 & ~leq(sigma,a)
% 0.19/0.40 & ~leq(a,zero)
% 0.19/0.40 & leq(a,one)
% 0.19/0.40 & leq(a,sigma)
% 0.19/0.40 & leq(a,a)
% 0.19/0.40
% 0.19/0.40 ).
% 0.19/0.40
% 0.19/0.40 % SZS output end FiniteModel for theBenchmark
% 0.19/0.40 % (26713)------------------------------
% 0.19/0.40 % (26713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.40 % (26713)Termination reason: Satisfiable
% 0.19/0.40
% 0.19/0.40 % (26713)Memory used [KB]: 1506
% 0.19/0.40 % (26713)Time elapsed: 0.047 s
% 0.19/0.40 % (26713)Instructions burned: 118 (million)
% 0.19/0.40 % (26713)------------------------------
% 0.19/0.40 % (26713)------------------------------
% 0.19/0.40 % (26709)Success in time 0.061 s
%------------------------------------------------------------------------------