%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI690_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 : n019.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 09:33:40 AM UTC 2026
% Result : Theorem 0.17s 1.71s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 13 unt; 0 typ; 3 def)
% Number of atoms : 19 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 27 ( 0 atm; 15 fun; 12 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 : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 3 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
c: $int ).
tff(func_def_1,type,
d: $int ).
tff(func_def_2,type,
a: $int ).
tff(f1,axiom,
$product(2,d) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
tff(f2,axiom,
$difference(c,d) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).
tff(f3,conjecture,
a = $product(2,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f4,negated_conjecture,
( ( ~ a ) = $product(2,c) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
0 = $sum(c,$uminus(d)),
inference(theory_normalization,[],[f2]) ).
tff(f6,plain,
a != $product(2,c),
inference(flattening,[],[f4]) ).
tff(f7,plain,
$product(2,d) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f8,plain,
a != $product(2,c),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
0 = $sum(c,$uminus(d)),
inference(cnf_transformation,[],[f5]) ).
tff(f11,definition,
( spl0_1
<=> ( a = $product(2,c) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f14,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f8,f11]) ).
tff(f16,definition,
( spl0_2
<=> ( 0 = $sum(c,$uminus(d)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f19,plain,
spl0_2,
inference(avatar_split_clause,[],[f9,f16]) ).
tff(f21,definition,
( spl0_3
<=> ( $product(2,d) = a ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f24,plain,
spl0_3,
inference(avatar_split_clause,[],[f7,f21]) ).
tff(f25,plain,
$false,
inference(avatar_smt_refutation,[],[f24,f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI690_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:57:43 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 0.17/1.71 % (272242)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.17/1.71 % (272331)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2393269241:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.17/1.71 % (272331)Instruction limit reached!
% 0.17/1.71 % (272331)------------------------------
% 0.17/1.71 % (272331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.71 % (272331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.71 % (272331)CaDiCaL version: 2.1.3
% 0.17/1.71 % (272331)Termination reason: Instruction limit
% 0.17/1.71 % (272331)Termination phase: Saturation
% 0.17/1.71 % (272331)Time elapsed: 0.004 s
% 0.17/1.71 % (272331)Peak memory usage: 89 MB
% 0.17/1.71 % (272331)Instructions burned: 5 (million)
% 0.17/1.71 % (272333)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2069992591:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.17/1.71 % (272333)First to succeed.
% 0.17/1.71 % (272333)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-272242"
% 0.17/1.71 % (272326)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1802273533:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.17/1.71 % (272334)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3380923198:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.17/1.71 % (272329)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3279822597:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.17/1.71 % (272327)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3267296785:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.17/1.71 % (272328)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=188896173:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.17/1.71 % (272329)Instruction limit reached!
% 0.17/1.71 % (272329)------------------------------
% 0.17/1.71 % (272329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.71 % (272329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.71 % (272329)CaDiCaL version: 2.1.3
% 0.17/1.71 % (272329)Termination reason: Instruction limit
% 0.17/1.71 % (272329)Termination phase: Saturation
% 0.17/1.71 % (272329)Time elapsed: 0.010 s
% 0.17/1.71 % (272329)Peak memory usage: 88 MB
% 0.17/1.71 % (272329)Instructions burned: 8 (million)
% 0.17/1.71 % (272326)Also succeeded, but the first one will report.
% 0.17/1.71 % (272327)Also succeeded, but the first one will report.
% 0.17/1.71 % (272334)Also succeeded, but the first one will report.
% 0.17/1.71 % (272328)Also succeeded, but the first one will report.
% 0.17/1.71 % (272345)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1573948777:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 0.17/1.71 % (272345)Refutation not found, incomplete strategy
% 0.17/1.71 % (272345)------------------------------
% 0.17/1.71 % (272345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.71 % (272345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.71 % (272345)CaDiCaL version: 2.1.3
% 0.17/1.71 % (272345)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.71 % (272345)Time elapsed: 0.001 s
% 0.17/1.71 % (272345)Peak memory usage: 88 MB
% 0.17/1.71 % (272351)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2244837914:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 0.17/1.71 % (272351)Instruction limit reached!
% 0.17/1.71 % (272351)------------------------------
% 0.17/1.71 % (272351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.71 % (272351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.71 % (272351)CaDiCaL version: 2.1.3
% 0.17/1.71 % (272351)Termination reason: Instruction limit
% 0.17/1.71 % (272351)Termination phase: Saturation
% 0.17/1.71 % (272351)Time elapsed: 0.025 s
% 0.17/1.71 % (272351)Peak memory usage: 88 MB
% 0.17/1.71 % (272351)Instructions burned: 30 (million)
% 0.17/1.71 % (272333)Refutation found. Thanks to Tanya!
% 0.17/1.71 % SZS status Theorem for theBenchmark
% 0.17/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.71 % (272333)------------------------------
% 0.17/1.71 % (272333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.71 % (272333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.71 % (272333)CaDiCaL version: 2.1.3
% 0.17/1.71 % (272333)Termination reason: Refutation
% 0.17/1.71 % (272333)Time elapsed: 0.045 s
% 0.17/1.71 % (272333)Peak memory usage: 115 MB
% 0.17/1.71 % (272333)Instructions burned: 8 (million)
% 0.17/1.71 % (272333)------------------------------
% 0.17/1.71 % (272333)------------------------------
% 0.17/1.71 % (272242)Success in time 0.692 s
% 0.17/1.71 % Vampire exiting
%------------------------------------------------------------------------------