TSTP Solution File: BOO008-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO008-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 10:42:00 EDT 2024
% Result : Satisfiable 0.14s 0.42s
% Output : FiniteModel 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : BOO008-10 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.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 02:15:18 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27880)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27883)WARNING: value z3 for option sas not known
% 0.14/0.38 % (27882)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (27881)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (27883)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)
% 0.14/0.38 % (27885)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)
% 0.14/0.38 % (27886)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)
% 0.14/0.38 % (27887)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)
% 0.14/0.39 % (27884)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.42 Finite Model Found!
% 0.14/0.42 % SZS status Satisfiable for theBenchmark
% 0.14/0.42 % (27884)First to succeed.
% 0.14/0.42 % SZS output start FiniteModel for theBenchmark
% 0.14/0.42 tff(declare_$i,type,$i:$tType).
% 0.14/0.42 tff(declare_$i1,type,true:$i).
% 0.14/0.42 tff(declare_$i2,type,y_plus_z:$i).
% 0.14/0.42 tff(finite_domain,axiom,
% 0.14/0.42 ! [X:$i] : (
% 0.14/0.42 X = true | X = y_plus_z
% 0.14/0.42 ) ).
% 0.14/0.42
% 0.14/0.42 tff(distinct_domain,axiom,
% 0.14/0.42 true != y_plus_z
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 tff(declare_bool,type,$o:$tType).
% 0.14/0.42 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.14/0.42 tff(finite_domain,axiom,
% 0.14/0.42 ! [X:$o] : (
% 0.14/0.42 X = fmb_bool_1
% 0.14/0.42 ) ).
% 0.14/0.42
% 0.14/0.42 tff(declare_additive_identity,type,additive_identity:$i).
% 0.14/0.42 tff(additive_identity_definition,axiom,additive_identity = true).
% 0.14/0.42 tff(declare_multiplicative_identity,type,multiplicative_identity:$i).
% 0.14/0.42 tff(multiplicative_identity_definition,axiom,multiplicative_identity = true).
% 0.14/0.42 tff(declare_y,type,y:$i).
% 0.14/0.42 tff(y_definition,axiom,y = true).
% 0.14/0.42 tff(declare_z,type,z:$i).
% 0.14/0.42 tff(z_definition,axiom,z = true).
% 0.14/0.42 tff(declare_x,type,x:$i).
% 0.14/0.42 tff(x_definition,axiom,x = true).
% 0.14/0.42 tff(declare_x__plus_y_plus_z,type,x__plus_y_plus_z:$i).
% 0.14/0.42 tff(x__plus_y_plus_z_definition,axiom,x__plus_y_plus_z = y_plus_z).
% 0.14/0.42 tff(declare_x_plus_y,type,x_plus_y:$i).
% 0.14/0.42 tff(x_plus_y_definition,axiom,x_plus_y = true).
% 0.14/0.42 tff(declare_x_plus_y__plus_z,type,x_plus_y__plus_z:$i).
% 0.14/0.42 tff(x_plus_y__plus_z_definition,axiom,x_plus_y__plus_z = true).
% 0.14/0.42 tff(declare_ifeq,type,ifeq: $i * $i * $i * $i > $i).
% 0.14/0.42 tff(function_ifeq,axiom,
% 0.14/0.42 ifeq(true,true,true,true) = true
% 0.14/0.42 & ifeq(true,true,true,y_plus_z) = true
% 0.14/0.42 & ifeq(true,true,y_plus_z,true) = y_plus_z
% 0.14/0.42 & ifeq(true,true,y_plus_z,y_plus_z) = y_plus_z
% 0.14/0.42 & ifeq(true,y_plus_z,true,true) = y_plus_z
% 0.14/0.42 & ifeq(true,y_plus_z,true,y_plus_z) = y_plus_z
% 0.14/0.42 & ifeq(true,y_plus_z,y_plus_z,true) = y_plus_z
% 0.14/0.42 & ifeq(true,y_plus_z,y_plus_z,y_plus_z) = true
% 0.14/0.42 & ifeq(y_plus_z,true,true,true) = true
% 0.14/0.42 & ifeq(y_plus_z,true,true,y_plus_z) = y_plus_z
% 0.14/0.42 & ifeq(y_plus_z,true,y_plus_z,true) = true
% 0.14/0.42 & ifeq(y_plus_z,true,y_plus_z,y_plus_z) = true
% 0.14/0.42 & ifeq(y_plus_z,y_plus_z,true,true) = true
% 0.14/0.42 & ifeq(y_plus_z,y_plus_z,true,y_plus_z) = true
% 0.14/0.42 & ifeq(y_plus_z,y_plus_z,y_plus_z,true) = y_plus_z
% 0.14/0.42 & ifeq(y_plus_z,y_plus_z,y_plus_z,y_plus_z) = y_plus_z
% 0.14/0.42
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 tff(declare_add,type,add: $i * $i > $i).
% 0.14/0.42 tff(function_add,axiom,
% 0.14/0.42 add(true,true) = true
% 0.14/0.42 & add(true,y_plus_z) = y_plus_z
% 0.14/0.42 & add(y_plus_z,true) = y_plus_z
% 0.14/0.42 & add(y_plus_z,y_plus_z) = true
% 0.14/0.42
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 tff(declare_sum,type,sum: $i * $i * $i > $i).
% 0.14/0.42 tff(function_sum,axiom,
% 0.14/0.42 sum(true,true,true) = true
% 0.14/0.42 & sum(true,true,y_plus_z) = true
% 0.14/0.42 & sum(true,y_plus_z,true) = true
% 0.14/0.42 & sum(true,y_plus_z,y_plus_z) = true
% 0.14/0.42 & sum(y_plus_z,true,true) = true
% 0.14/0.42 & sum(y_plus_z,true,y_plus_z) = true
% 0.14/0.42 & sum(y_plus_z,y_plus_z,true) = true
% 0.14/0.42 & sum(y_plus_z,y_plus_z,y_plus_z) = true
% 0.14/0.42
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 tff(declare_multiply,type,multiply: $i * $i > $i).
% 0.14/0.42 tff(function_multiply,axiom,
% 0.14/0.42 multiply(true,true) = true
% 0.14/0.42 & multiply(true,y_plus_z) = y_plus_z
% 0.14/0.42 & multiply(y_plus_z,true) = y_plus_z
% 0.14/0.42 & multiply(y_plus_z,y_plus_z) = y_plus_z
% 0.14/0.42
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 tff(declare_product,type,product: $i * $i * $i > $i).
% 0.14/0.42 tff(function_product,axiom,
% 0.14/0.42 product(true,true,true) = true
% 0.14/0.42 & product(true,true,y_plus_z) = true
% 0.14/0.42 & product(true,y_plus_z,true) = true
% 0.14/0.42 & product(true,y_plus_z,y_plus_z) = true
% 0.14/0.42 & product(y_plus_z,true,true) = true
% 0.14/0.42 & product(y_plus_z,true,y_plus_z) = true
% 0.14/0.42 & product(y_plus_z,y_plus_z,true) = true
% 0.14/0.42 & product(y_plus_z,y_plus_z,y_plus_z) = true
% 0.14/0.42
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 tff(declare_inverse,type,inverse: $i > $i).
% 0.14/0.42 tff(function_inverse,axiom,
% 0.14/0.42 inverse(true) = true
% 0.14/0.42 & inverse(y_plus_z) = y_plus_z
% 0.14/0.42
% 0.14/0.42 ).
% 0.14/0.42
% 0.14/0.42 % SZS output end FiniteModel for theBenchmark
% 0.14/0.42 % (27884)------------------------------
% 0.14/0.42 % (27884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.42 % (27884)Termination reason: Satisfiable
% 0.14/0.42
% 0.14/0.42 % (27884)Memory used [KB]: 1173
% 0.14/0.42 % (27884)Time elapsed: 0.034 s
% 0.14/0.42 % (27884)Instructions burned: 81 (million)
% 0.14/0.42 % (27884)------------------------------
% 0.14/0.42 % (27884)------------------------------
% 0.14/0.42 % (27880)Success in time 0.048 s
%------------------------------------------------------------------------------