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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : BOO017-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:35:54 AM UTC 2026

% Result   : Unsatisfiable 21.31s 4.09s
% Output   : Refutation 22.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   71 (  71 unt;   0 def)
%            Number of atoms       :   71 (  70 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-4 aty)
%            Number of variables   :  155 ( 155   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).

fof(f3,axiom,
    ! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).

fof(f4,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).

fof(f5,plain,
    ! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
    inference(reorient_equations,[],[f4]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).

fof(f7,plain,
    ! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true),
    inference(reorient_equations,[],[f6]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiplication) ).

fof(f9,plain,
    ! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true),
    inference(reorient_equations,[],[f8]) ).

fof(f12,axiom,
    ! [X0] : sum(X0,additive_identity,X0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).

fof(f13,plain,
    ! [X0] : true = sum(X0,additive_identity,X0),
    inference(reorient_equations,[],[f12]) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X1,X5),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X1,X5),true),true),true),true),
    inference(reorient_equations,[],[f24]) ).

fof(f28,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X4,X5),true,ifeq(sum(X6,X4,X1),true,ifeq(sum(X6,X3,X0),true,sum(X6,X5,X2),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity6) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X4,X5),true,ifeq(sum(X6,X4,X1),true,ifeq(sum(X6,X3,X0),true,sum(X6,X5,X2),true),true),true),true),
    inference(reorient_equations,[],[f28]) ).

fof(f38,axiom,
    ! [X0] : product(inverse(X0),X0,additive_identity) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).

fof(f39,plain,
    ! [X0] : true = product(inverse(X0),X0,additive_identity),
    inference(reorient_equations,[],[f38]) ).

fof(f42,axiom,
    ! [X2,X3,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).

fof(f43,axiom,
    ! [X2,X3,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

fof(f44,axiom,
    sum(x,y,z) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_y) ).

fof(f45,plain,
    true = sum(x,y,z),
    inference(reorient_equations,[],[f44]) ).

fof(f46,negated_conjecture,
    product(x,z,x) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product) ).

fof(f47,plain,
    true != product(x,z,x),
    inference(reorient_equations,[],[f46]) ).

fof(f49,plain,
    ! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(true,true,multiply(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f43,f5]) ).

fof(f50,plain,
    ! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,multiply(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f49,f1]) ).

fof(f55,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f42,f3]) ).

fof(f56,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(z,X0,X1),true,ifeq(product(y,X2,X3),true,ifeq(sum(x,X2,X0),true,ifeq(true,true,sum(x,X3,X1),true),true),true),true),
    inference(superposition,[],[f29,f45]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(z,X0,X1),true,ifeq(product(y,X2,X3),true,ifeq(sum(x,X2,X0),true,sum(x,X3,X1),true),true),true),
    inference(forward_demodulation,[],[f142,f2]) ).

fof(f255,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(product(X2,X0,X3),true,ifeq(sum(X3,X1,X4),true,ifeq(true,true,product(X2,X0,X4),true),true),true),true),
    inference(superposition,[],[f25,f13]) ).

fof(f269,plain,
    ! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
    inference(superposition,[],[f42,f13]) ).

fof(f270,plain,
    ! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,X0,X1) = X1,
    inference(forward_demodulation,[],[f269,f1]) ).

fof(f282,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(product(X2,X0,X3),true,ifeq(sum(X3,X1,X4),true,product(X2,X0,X4),true),true),true),
    inference(forward_demodulation,[],[f255,f2]) ).

fof(f329,plain,
    ! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
    inference(superposition,[],[f7,f3]) ).

fof(f344,plain,
    ! [X0,X1] : true = sum(X1,X0,add(X0,X1)),
    inference(forward_demodulation,[],[f329,f2]) ).

fof(f410,plain,
    ! [X0,X1] : additive_identity = ifeq2(true,true,ifeq2(product(inverse(X0),X0,X1),true,X1,additive_identity),additive_identity),
    inference(superposition,[],[f43,f39]) ).

fof(f413,plain,
    ! [X0,X1] : additive_identity = ifeq2(product(inverse(X0),X0,X1),true,X1,additive_identity),
    inference(forward_demodulation,[],[f410,f1]) ).

fof(f430,plain,
    ! [X0,X1] : true = ifeq(true,true,product(X1,X0,multiply(X0,X1)),true),
    inference(superposition,[],[f9,f5]) ).

fof(f444,plain,
    ! [X0,X1] : true = product(X1,X0,multiply(X0,X1)),
    inference(forward_demodulation,[],[f430,f2]) ).

fof(f632,plain,
    ! [X0,X1] : multiply(X1,X0) = ifeq2(true,true,multiply(X0,X1),multiply(X1,X0)),
    inference(superposition,[],[f50,f444]) ).

fof(f635,plain,
    ! [X0] : additive_identity = ifeq2(true,true,multiply(inverse(X0),X0),additive_identity),
    inference(superposition,[],[f50,f39]) ).

fof(f639,plain,
    ! [X0] : additive_identity = multiply(inverse(X0),X0),
    inference(forward_demodulation,[],[f635,f1]) ).

fof(f642,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[],[f632,f1]) ).

fof(f707,plain,
    ! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
    inference(superposition,[],[f56,f344]) ).

fof(f708,plain,
    ! [X0] : ifeq2(true,true,add(X0,additive_identity),X0) = X0,
    inference(superposition,[],[f56,f13]) ).

fof(f720,plain,
    ! [X0] : add(X0,additive_identity) = X0,
    inference(forward_demodulation,[],[f708,f1]) ).

fof(f721,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(forward_demodulation,[],[f707,f1]) ).

fof(f827,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(product(X2,X0,X3),true,ifeq(true,true,product(X2,X0,add(X3,X1)),true),true),true),
    inference(superposition,[],[f282,f3]) ).

fof(f848,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(product(X2,X0,X3),true,product(X2,X0,add(X3,X1)),true),true),
    inference(forward_demodulation,[],[f827,f2]) ).

fof(f1218,plain,
    ! [X2,X0,X1] : true = ifeq(product(z,X0,X1),true,ifeq(true,true,ifeq(sum(x,X2,X0),true,sum(x,multiply(y,X2),X1),true),true),true),
    inference(superposition,[],[f147,f5]) ).

fof(f1241,plain,
    ! [X2,X0,X1] : true = ifeq(product(z,X0,X1),true,ifeq(sum(x,X2,X0),true,sum(x,multiply(y,X2),X1),true),true),
    inference(forward_demodulation,[],[f1218,f2]) ).

fof(f3289,plain,
    ! [X2,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(true,true,product(X2,X0,add(multiply(X2,X0),X1)),true),true),
    inference(superposition,[],[f848,f5]) ).

fof(f3311,plain,
    ! [X2,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,product(X2,X0,add(multiply(X2,X0),X1)),true),
    inference(forward_demodulation,[],[f3289,f2]) ).

fof(f3321,plain,
    ! [X0,X1] : true = ifeq(true,true,product(X1,X0,add(multiply(X1,X0),multiply(additive_identity,X0))),true),
    inference(superposition,[],[f3311,f5]) ).

fof(f3341,plain,
    ! [X0,X1] : true = product(X1,X0,add(multiply(X1,X0),multiply(additive_identity,X0))),
    inference(forward_demodulation,[],[f3321,f2]) ).

fof(f3472,plain,
    ! [X0] : additive_identity = ifeq2(true,true,add(multiply(inverse(X0),X0),multiply(additive_identity,X0)),additive_identity),
    inference(superposition,[],[f413,f3341]) ).

fof(f3521,plain,
    ! [X0] : additive_identity = add(multiply(inverse(X0),X0),multiply(additive_identity,X0)),
    inference(forward_demodulation,[],[f3472,f1]) ).

fof(f3645,plain,
    ! [X0] : additive_identity = add(multiply(additive_identity,X0),multiply(inverse(X0),X0)),
    inference(forward_demodulation,[],[f3521,f721]) ).

fof(f3687,plain,
    ! [X0] : additive_identity = add(multiply(additive_identity,X0),additive_identity),
    inference(forward_demodulation,[],[f3645,f639]) ).

fof(f3709,plain,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    inference(forward_demodulation,[],[f3687,f720]) ).

fof(f4190,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(sum(x,X1,X0),true,sum(x,multiply(y,X1),multiply(z,X0)),true),true),
    inference(superposition,[],[f1241,f5]) ).

fof(f4223,plain,
    ! [X0,X1] : true = ifeq(sum(x,X1,X0),true,sum(x,multiply(y,X1),multiply(z,X0)),true),
    inference(forward_demodulation,[],[f4190,f2]) ).

fof(f4233,plain,
    true = ifeq(true,true,sum(x,multiply(y,additive_identity),multiply(z,x)),true),
    inference(superposition,[],[f4223,f13]) ).

fof(f4263,plain,
    true = sum(x,multiply(y,additive_identity),multiply(z,x)),
    inference(forward_demodulation,[],[f4233,f2]) ).

fof(f4270,plain,
    true = sum(x,multiply(y,additive_identity),multiply(x,z)),
    inference(forward_demodulation,[],[f4263,f642]) ).

fof(f4271,plain,
    true = sum(x,multiply(additive_identity,y),multiply(x,z)),
    inference(forward_demodulation,[],[f4270,f642]) ).

fof(f4272,plain,
    true = sum(x,additive_identity,multiply(x,z)),
    inference(forward_demodulation,[],[f4271,f3709]) ).

fof(f4293,plain,
    multiply(x,z) = ifeq2(true,true,x,multiply(x,z)),
    inference(superposition,[],[f270,f4272]) ).

fof(f4451,plain,
    x = multiply(x,z),
    inference(forward_demodulation,[],[f4293,f1]) ).

fof(f4540,plain,
    true = product(x,z,x),
    inference(superposition,[],[f5,f4451]) ).

fof(f4546,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4540,f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : BOO017-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.31  % Computer : n003.cluster.edu
% 0.27/0.31  % Model    : x86_64 x86_64
% 0.27/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31  % Memory   : 8046.5625MB
% 0.27/0.31  % OS       : Linux 6.8.0-71-generic
% 0.27/0.31  % CPULimit : 300
% 0.27/0.31  % WCLimit  : 300
% 0.27/0.31  % DateTime : Mon Sep 28 21:05:58 UTC 2026
% 0.27/0.31  % CPUTime  : 
% 0.27/0.31  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.37  Running first-order theorem proving
% 0.27/0.37  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.31/4.09  % (2018681)Detected a unit-equality problem, will run specialized UEQ schedule.
% 21.31/4.09  % (2018686)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=606661131:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 21.31/4.09  % (2018689)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1813501836:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 21.31/4.09  % (2018687)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=683595532:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 21.31/4.09  % (2018690)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1280746033:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 21.31/4.09  % (2018692)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3368688477:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 21.31/4.09  % (2018691)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1882035538:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 21.31/4.09  % (2018688)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2962397816:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 21.31/4.09  % (2018689)Instruction limit reached! 
% 21.31/4.09  % (2018689)------------------------------
% 21.31/4.09  % (2018689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018689)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018689)Termination reason: Instruction limit
% 21.31/4.09  % (2018689)Termination phase: Saturation
% 21.31/4.09  % (2018689)Time elapsed: 0.127 s
% 21.31/4.09  % (2018689)Peak memory usage: 89 MB
% 21.31/4.09  % (2018689)Instructions burned: 137 (million)
% 21.31/4.09  % (2018690)Instruction limit reached! 
% 21.31/4.09  % (2018690)------------------------------
% 21.31/4.09  % (2018690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018690)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018690)Termination reason: Instruction limit
% 21.31/4.09  % (2018690)Termination phase: Saturation
% 21.31/4.09  % (2018690)Time elapsed: 0.175 s
% 21.31/4.09  % (2018690)Peak memory usage: 89 MB
% 21.31/4.09  % (2018690)Instructions burned: 181 (million)
% 21.31/4.09  % (2018691)Instruction limit reached! 
% 21.31/4.09  % (2018691)------------------------------
% 21.31/4.09  % (2018691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018691)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018691)Termination reason: Instruction limit
% 21.31/4.09  % (2018691)Termination phase: Saturation
% 21.31/4.09  % (2018691)Time elapsed: 0.253 s
% 21.31/4.09  % (2018691)Peak memory usage: 91 MB
% 21.31/4.09  % (2018691)Instructions burned: 258 (million)
% 21.31/4.09  % (2018700)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1656061573:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 21.31/4.09  % (2018701)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=16852215:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 21.31/4.09  % (2018702)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4019324595:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 21.31/4.09  % (2018702)Instruction limit reached! 
% 21.31/4.09  % (2018702)------------------------------
% 21.31/4.09  % (2018702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018702)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018702)Termination reason: Instruction limit
% 21.31/4.09  % (2018702)Termination phase: Saturation
% 21.31/4.09  % (2018702)Time elapsed: 0.181 s
% 21.31/4.09  % (2018702)Peak memory usage: 91 MB
% 21.31/4.09  % (2018702)Instructions burned: 215 (million)
% 21.31/4.09  % (2018706)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3543827807:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 21.31/4.09  % (2018692)Instruction limit reached! 
% 21.31/4.09  % (2018692)------------------------------
% 21.31/4.09  % (2018692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018692)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018692)Termination reason: Instruction limit
% 21.31/4.09  % (2018692)Termination phase: Saturation
% 21.31/4.09  % (2018692)Time elapsed: 1.138 s
% 21.31/4.09  % (2018692)Peak memory usage: 101 MB
% 21.31/4.09  % (2018692)Instructions burned: 1187 (million)
% 21.31/4.09  % (2018706)Instruction limit reached! 
% 21.31/4.09  % (2018706)------------------------------
% 21.31/4.09  % (2018706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018706)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018706)Termination reason: Instruction limit
% 21.31/4.09  % (2018706)Termination phase: Saturation
% 21.31/4.09  % (2018706)Time elapsed: 0.309 s
% 21.31/4.09  % (2018706)Peak memory usage: 93 MB
% 21.31/4.09  % (2018706)Instructions burned: 317 (million)
% 21.31/4.09  % (2018708)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2532333800:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 21.31/4.09  % (2018709)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2088743050:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 21.31/4.09  % (2018687)First to succeed.
% 21.31/4.09  % (2018687)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2018681"
% 21.31/4.09  % (2018700)Instruction limit reached! 
% 21.31/4.09  % (2018700)------------------------------
% 21.31/4.09  % (2018700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.31/4.09  % (2018700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/4.09  % (2018700)CaDiCaL version: 2.1.3
% 21.31/4.09  % (2018700)Termination reason: Instruction limit
% 21.31/4.09  % (2018700)Termination phase: Saturation
% 21.31/4.09  % (2018700)Time elapsed: 2.140 s
% 21.31/4.09  % (2018700)Peak memory usage: 141 MB
% 21.31/4.09  % (2018700)Instructions burned: 2051 (million)
% 21.31/4.09  % (2018687)Refutation found. Thanks to Tanya!
% 21.31/4.09  % SZS status Unsatisfiable for theBenchmark
% 21.31/4.09  % SZS output start Proof for theBenchmark
% See solution above
% 22.69/4.43  % (2018687)------------------------------
% 22.69/4.43  % (2018687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.43  % (2018687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.43  % (2018687)CaDiCaL version: 2.1.3
% 22.69/4.43  % (2018687)Termination reason: Refutation
% 22.69/4.43  % (2018687)Time elapsed: 2.344 s
% 22.69/4.43  % (2018687)Peak memory usage: 141 MB
% 22.69/4.43  % (2018687)Instructions burned: 2239 (million)
% 22.69/4.43  % (2018687)------------------------------
% 22.69/4.43  % (2018687)------------------------------
% 22.69/4.43  % (2018681)Success in time 3.099 s
% 22.69/4.43  % Vampire exiting
%------------------------------------------------------------------------------