%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI710_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:33:42 AM UTC 2026
% Result : Theorem 0.27s 1.81s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 14 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 22 ( 0 atm; 20 fun; 2 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
b: $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
c: $int ).
tff(func_def_3,type,
d: $int ).
tff(f1,axiom,
$product(b,1) = $product($product(a,c),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(f2,conjecture,
b = $product($product(d,a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f3,negated_conjecture,
( ( ~ b ) = $product($product(d,a),c) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
b != $product($product(d,a),c),
inference(flattening,[],[f3]) ).
tff(f5,plain,
$product(b,1) = $product($product(a,c),d),
inference(cnf_transformation,[],[f1]) ).
tff(f6,plain,
b != $product($product(d,a),c),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
b = $product($product(a,c),d),
inference(evaluation,[],[f5]) ).
tff(f9,definition,
( spl0_1
<=> ( b = $product($product(d,a),c) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f9]) ).
tff(f14,definition,
( spl0_2
<=> ( b = $product($product(a,c),d) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f17,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f14]) ).
tff(f18,plain,
$false,
inference(avatar_smt_refutation,[],[f17,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI710_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n009.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 20:58:00 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 0.27/1.81 % (3469371)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.27/1.81 % (3469383)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1770651713:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.27/1.81 % (3469383)Instruction limit reached!
% 0.27/1.81 % (3469383)------------------------------
% 0.27/1.81 % (3469383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/1.81 % (3469383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/1.81 % (3469383)CaDiCaL version: 2.1.3
% 0.27/1.81 % (3469383)Termination reason: Instruction limit
% 0.27/1.81 % (3469383)Termination phase: Saturation
% 0.27/1.81 % (3469383)Time elapsed: 0.004 s
% 0.27/1.81 % (3469383)Peak memory usage: 89 MB
% 0.27/1.81 % (3469383)Instructions burned: 6 (million)
% 0.27/1.81 % (3469384)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1258724936:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.27/1.81 % (3469385)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1628889355:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.27/1.81 % (3469380)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4269281117:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.27/1.81 % (3469382)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1214151249:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.27/1.81 % (3469379)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=517821759:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.27/1.81 % (3469381)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1202204597:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.27/1.81 % (3469384)First to succeed.
% 0.27/1.81 % (3469384)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3469371"
% 0.27/1.81 % (3469382)Also succeeded, but the first one will report.
% 0.27/1.81 % (3469385)Also succeeded, but the first one will report.
% 0.27/1.81 % (3469379)Also succeeded, but the first one will report.
% 0.27/1.81 % (3469381)Also succeeded, but the first one will report.
% 0.27/1.81 % (3469380)Also succeeded, but the first one will report.
% 0.27/1.81 % (3469389)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2370835323:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.27/1.81 % (3469389)Refutation not found, incomplete strategy
% 0.27/1.81 % (3469389)------------------------------
% 0.27/1.81 % (3469389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/1.81 % (3469389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/1.81 % (3469389)CaDiCaL version: 2.1.3
% 0.27/1.81 % (3469389)Termination reason: Refutation not found, incomplete strategy
% 0.27/1.81 % (3469389)Time elapsed: 0.002 s
% 0.27/1.81 % (3469389)Peak memory usage: 88 MB
% 0.27/1.81 % (3469384)Refutation found. Thanks to Tanya!
% 0.27/1.81 % SZS status Theorem for theBenchmark
% 0.27/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/1.81 % (3469384)------------------------------
% 0.27/1.81 % (3469384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/1.81 % (3469384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/1.81 % (3469384)CaDiCaL version: 2.1.3
% 0.27/1.81 % (3469384)Termination reason: Refutation
% 0.27/1.81 % (3469384)Time elapsed: 0.046 s
% 0.27/1.81 % (3469384)Peak memory usage: 115 MB
% 0.27/1.81 % (3469384)Instructions burned: 7 (million)
% 0.27/1.81 % (3469384)------------------------------
% 0.27/1.81 % (3469384)------------------------------
% 0.27/1.81 % (3469371)Success in time 0.623 s
% 0.27/1.81 % Vampire exiting
%------------------------------------------------------------------------------