%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI763_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:33:50 AM UTC 2026
% Result : Theorem 3.71s 1.29s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 1 def)
% Number of atoms : 15 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 3 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 39 ( 0 atm; 26 fun; 10 num; 3 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 : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_10,type,
sK0: $int ).
tff(f1,conjecture,
( ( $abs(-3) = 3 )
& ! [X0: $int] : ( $abs($abs(X0)) = $abs(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_abs) ).
tff(f2,negated_conjecture,
~ ( ( $abs(-3) = 3 )
& ! [X0: $int] : ( $abs($abs(X0)) = $abs(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f26,plain,
( ( $abs(-3) != 3 )
| ? [X0: $int] : ( $abs(X0) != $abs($abs(X0)) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f27,plain,
( ( $abs(-3) != 3 )
| ( $abs(sK0) != $abs($abs(sK0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f26]) ).
tff(f28,plain,
( ( $abs(-3) != 3 )
| ( $abs(sK0) != $abs($abs(sK0)) ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f29,plain,
$abs(sK0) != $abs($abs(sK0)),
inference(evaluation,[],[f28]) ).
tff(f31,definition,
( spl1_1
<=> ( $abs(sK0) = $abs($abs(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f34,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f29,f31]) ).
tff(f35,plain,
$false,
inference(avatar_smt_refutation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI763_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:02:18 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.71/1.29 % (275664)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.71/1.29 % (275672)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1820462392:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.71/1.29 % (275672)Instruction limit reached!
% 3.71/1.29 % (275672)------------------------------
% 3.71/1.29 % (275672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275672)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275672)Termination reason: Instruction limit
% 3.71/1.29 % (275672)Termination phase: Saturation
% 3.71/1.29 % (275672)Time elapsed: 0.004 s
% 3.71/1.29 % (275672)Peak memory usage: 88 MB
% 3.71/1.29 % (275672)Instructions burned: 10 (million)
% 3.71/1.29 % (275670)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4152700207:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.71/1.29 % (275671)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3369135602:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.71/1.29 % (275669)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3500592833:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.71/1.29 % (275675)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=354269621:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.71/1.29 % (275674)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2302791635:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.71/1.29 % (275673)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2503573557:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.71/1.29 % (275673)Instruction limit reached!
% 3.71/1.29 % (275673)------------------------------
% 3.71/1.29 % (275673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275673)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275673)Termination reason: Instruction limit
% 3.71/1.29 % (275673)Termination phase: Saturation
% 3.71/1.29 % (275673)Time elapsed: 0.004 s
% 3.71/1.29 % (275673)Peak memory usage: 88 MB
% 3.71/1.29 % (275673)Instructions burned: 5 (million)
% 3.71/1.29 % (275669)First to succeed.
% 3.71/1.29 % (275670)Also succeeded, but the first one will report.
% 3.71/1.29 % (275669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-275664"
% 3.71/1.29 % (275674)Also succeeded, but the first one will report.
% 3.71/1.29 % (275675)Also succeeded, but the first one will report.
% 3.71/1.29 % (275677)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=792791185:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.71/1.29 % (275677)Refutation not found, incomplete strategy
% 3.71/1.29 % (275677)------------------------------
% 3.71/1.29 % (275677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275677)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275677)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.29 % (275677)Time elapsed: 0.0000 s
% 3.71/1.29 % (275677)Peak memory usage: 89 MB
% 3.71/1.29 % (275671)Instruction limit reached!
% 3.71/1.29 % (275671)------------------------------
% 3.71/1.29 % (275671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275671)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275671)Termination reason: Instruction limit
% 3.71/1.29 % (275671)Termination phase: Saturation
% 3.71/1.29 % (275671)Time elapsed: 0.131 s
% 3.71/1.29 % (275671)Peak memory usage: 113 MB
% 3.71/1.29 % (275671)Instructions burned: 202 (million)
% 3.71/1.29 % (275684)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=170746147:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.71/1.29 % (275684)Instruction limit reached!
% 3.71/1.29 % (275684)------------------------------
% 3.71/1.29 % (275684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275684)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275684)Termination reason: Instruction limit
% 3.71/1.29 % (275684)Termination phase: Saturation
% 3.71/1.29 % (275684)Time elapsed: 0.016 s
% 3.71/1.29 % (275684)Peak memory usage: 88 MB
% 3.71/1.29 % (275684)Instructions burned: 30 (million)
% 3.71/1.29 % (275677)------------------------------
% 3.71/1.29 % (275677)------------------------------
% 3.71/1.29 % (275686)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=232613923:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.71/1.29 % (275686)Refutation not found, incomplete strategy
% 3.71/1.29 % (275686)------------------------------
% 3.71/1.29 % (275686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275686)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275686)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.29 % (275686)Time elapsed: 0.002 s
% 3.71/1.29 % (275686)Peak memory usage: 90 MB
% 3.71/1.29 % (275686)Instructions burned: 1 (million)
% 3.71/1.29 % (275669)Refutation found. Thanks to Tanya!
% 3.71/1.29 % SZS status Theorem for theBenchmark
% 3.71/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.29 % (275669)------------------------------
% 3.71/1.29 % (275669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (275669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (275669)CaDiCaL version: 2.1.3
% 3.71/1.29 % (275669)Termination reason: Refutation
% 3.71/1.29 % (275669)Time elapsed: 0.031 s
% 3.71/1.29 % (275669)Peak memory usage: 116 MB
% 3.71/1.29 % (275669)Instructions burned: 8 (million)
% 3.71/1.29 % (275669)------------------------------
% 3.71/1.29 % (275669)------------------------------
% 3.71/1.29 % (275664)Success in time 0.441 s
% 3.71/1.29 % Vampire exiting
%------------------------------------------------------------------------------