%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI640_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:33:33 AM UTC 2026
% Result : ContradictoryAxioms 3.95s 1.33s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 16 unt; 0 typ; 4 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 0 ~; 0 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 34 ( 15 atm; 8 fun; 11 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 : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $real ).
tff(func_def_1,type,
y: $real ).
tff(f1,axiom,
$greater(x,0/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis) ).
tff(f2,axiom,
$greater(y,0/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_01) ).
tff(f3,axiom,
$less(y,1/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_02) ).
tff(f4,axiom,
$greater($product(x,y),$sum(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_03) ).
tff(f7,plain,
$less($sum(x,y),$product(x,y)),
inference(theory_normalization,[],[f4]) ).
tff(f8,plain,
$less(0/1,y),
inference(theory_normalization,[],[f2]) ).
tff(f9,plain,
$less(0/1,x),
inference(theory_normalization,[],[f1]) ).
tff(f11,plain,
$less(y,1/1),
inference(cnf_transformation,[],[f3]) ).
tff(f12,plain,
$less(0/1,y),
inference(cnf_transformation,[],[f8]) ).
tff(f13,plain,
$less(0/1,x),
inference(cnf_transformation,[],[f9]) ).
tff(f14,plain,
$less($sum(x,y),$product(x,y)),
inference(cnf_transformation,[],[f7]) ).
tff(f16,definition,
( spl0_1
<=> $less(y,1/1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f19,plain,
spl0_1,
inference(avatar_split_clause,[],[f11,f16]) ).
tff(f21,definition,
( spl0_2
<=> $less($sum(x,y),$product(x,y)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f24,plain,
spl0_2,
inference(avatar_split_clause,[],[f14,f21]) ).
tff(f26,definition,
( spl0_3
<=> $less(0/1,y) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f29,plain,
spl0_3,
inference(avatar_split_clause,[],[f12,f26]) ).
tff(f31,definition,
( spl0_4
<=> $less(0/1,x) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f13,f31]) ).
tff(f35,plain,
$false,
inference(avatar_smt_refutation,[],[f34,f29,f24,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI640_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:54:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.95/1.32 % (2321575)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.95/1.32 % (2321660)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3388270679:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.95/1.32 % (2321664)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3313861509:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.95/1.32 % (2321659)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1928320919:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.95/1.32 % (2321658)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1059293611:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.95/1.32 % (2321663)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3333620581:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.95/1.32 % (2321661)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=819734279:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.95/1.32 % (2321662)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1421593019:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.95/1.32 % (2321662)Instruction limit reached!
% 3.95/1.32 % (2321662)------------------------------
% 3.95/1.32 % (2321662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.32 % (2321662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.32 % (2321662)CaDiCaL version: 2.1.3
% 3.95/1.32 % (2321662)Termination reason: Instruction limit
% 3.95/1.32 % (2321662)Termination phase: Saturation
% 3.95/1.32 % (2321662)Time elapsed: 0.004 s
% 3.95/1.32 % (2321662)Peak memory usage: 89 MB
% 3.95/1.32 % (2321662)Instructions burned: 6 (million)
% 3.95/1.32 % (2321661)Instruction limit reached!
% 3.95/1.32 % (2321661)------------------------------
% 3.95/1.32 % (2321661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.32 % (2321661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.32 % (2321661)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321661)Termination reason: Instruction limit
% 3.95/1.33 % (2321661)Termination phase: Saturation
% 3.95/1.33 % (2321661)Time elapsed: 0.005 s
% 3.95/1.33 % (2321661)Peak memory usage: 88 MB
% 3.95/1.33 % (2321661)Instructions burned: 7 (million)
% 3.95/1.33 % (2321658)Refutation not found, incomplete strategy
% 3.95/1.33 % (2321658)------------------------------
% 3.95/1.33 % (2321658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.33 % (2321658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.33 % (2321658)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321658)Termination reason: Refutation not found, incomplete strategy
% 3.95/1.33 % (2321658)Time elapsed: 0.026 s
% 3.95/1.33 % (2321658)Peak memory usage: 111 MB
% 3.95/1.33 % (2321658)Instructions burned: 5 (million)
% 3.95/1.33 % (2321663)Also succeeded, but the first one will report.
% 3.95/1.33 % (2321659)First to succeed.
% 3.95/1.33 % (2321664)Also succeeded, but the first one will report.
% 3.95/1.33 % (2321659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2321575"
% 3.95/1.33 % (2321660)Instruction limit reached!
% 3.95/1.33 % (2321660)------------------------------
% 3.95/1.33 % (2321660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.33 % (2321660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.33 % (2321660)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321660)Termination reason: Instruction limit
% 3.95/1.33 % (2321660)Termination phase: Saturation
% 3.95/1.33 % (2321660)Time elapsed: 0.117 s
% 3.95/1.33 % (2321660)Peak memory usage: 117 MB
% 3.95/1.33 % (2321660)Instructions burned: 201 (million)
% 3.95/1.33 % (2321672)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1775494833:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.95/1.33 % (2321673)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=935729327:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.95/1.33 % (2321672)Refutation not found, incomplete strategy
% 3.95/1.33 % (2321672)------------------------------
% 3.95/1.33 % (2321672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.33 % (2321672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.33 % (2321672)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321672)Termination reason: Refutation not found, incomplete strategy
% 3.95/1.33 % (2321672)Time elapsed: 0.001 s
% 3.95/1.33 % (2321672)Peak memory usage: 88 MB
% 3.95/1.33 % (2321673)Instruction limit reached!
% 3.95/1.33 % (2321673)------------------------------
% 3.95/1.33 % (2321673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.33 % (2321673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.33 % (2321673)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321673)Termination reason: Instruction limit
% 3.95/1.33 % (2321673)Termination phase: Saturation
% 3.95/1.33 % (2321673)Time elapsed: 0.019 s
% 3.95/1.33 % (2321673)Peak memory usage: 88 MB
% 3.95/1.33 % (2321673)Instructions burned: 29 (million)
% 3.95/1.33 % (2321674)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2154613621:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.95/1.33 % (2321674)Instruction limit reached!
% 3.95/1.33 % (2321674)------------------------------
% 3.95/1.33 % (2321674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.33 % (2321674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.33 % (2321674)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321674)Termination reason: Instruction limit
% 3.95/1.33 % (2321674)Termination phase: Saturation
% 3.95/1.33 % (2321674)Time elapsed: 0.009 s
% 3.95/1.33 % (2321674)Peak memory usage: 90 MB
% 3.95/1.33 % (2321674)Instructions burned: 17 (million)
% 3.95/1.33 % (2321658)------------------------------
% 3.95/1.33 % (2321658)------------------------------
% 3.95/1.33 % (2321659)Refutation found. Thanks to Tanya!
% 3.95/1.33 % SZS status ContradictoryAxioms for theBenchmark
% 3.95/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.95/1.33 % (2321659)------------------------------
% 3.95/1.33 % (2321659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.33 % (2321659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.33 % (2321659)CaDiCaL version: 2.1.3
% 3.95/1.33 % (2321659)Termination reason: Refutation
% 3.95/1.33 % (2321659)Time elapsed: 0.033 s
% 3.95/1.33 % (2321659)Peak memory usage: 115 MB
% 3.95/1.33 % (2321659)Instructions burned: 9 (million)
% 3.95/1.33 % (2321659)------------------------------
% 3.95/1.33 % (2321659)------------------------------
% 3.95/1.33 % (2321575)Success in time 0.469 s
% 3.95/1.33 % Vampire exiting
%------------------------------------------------------------------------------