%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI652_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 : 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 09:33:34 AM UTC 2026
% Result : Theorem 3.64s 1.29s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 19 unt; 0 typ; 5 def)
% Number of atoms : 27 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 0 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 52 ( 8 atm; 20 fun; 22 num; 2 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 : 8 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 2 usr; 7 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_11,type,
sF0: $int ).
tff(f1,axiom,
$less(2,$sum(a,4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,axiom,
$lesseq(-2,$difference(-3,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f3,conjecture,
$product(a,a) = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_002) ).
tff(f4,negated_conjecture,
( ( ~ $product(a,a) ) = 1 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
~ $less($sum(-3,$uminus(a)),-2),
inference(theory_normalization,[],[f2]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f24,plain,
$product(a,a) != 1,
inference(flattening,[],[f4]) ).
tff(f25,plain,
~ $less($sum(-3,$uminus(a)),-2),
inference(cnf_transformation,[],[f5]) ).
tff(f26,plain,
$product(a,a) != 1,
inference(cnf_transformation,[],[f24]) ).
tff(f27,plain,
$less(2,$sum(a,4)),
inference(cnf_transformation,[],[f1]) ).
tff(f29,definition,
sF0 = $product(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f30,plain,
$product(a,a) = sF0,
inference(reorient_equations,[],[f29]) ).
tff(f31,plain,
1 != sF0,
inference(definition_folding,[],[f26,f30]) ).
tff(f33,definition,
( spl1_1
<=> ( 1 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f36,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f31,f33]) ).
tff(f38,definition,
( spl1_2
<=> $less($sum(-3,$uminus(a)),-2) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f41,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f25,f38]) ).
tff(f43,definition,
( spl1_3
<=> ( $product(a,a) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f46,plain,
spl1_3,
inference(avatar_split_clause,[],[f30,f43]) ).
tff(f47,plain,
$less(2,$sum(4,a)),
inference(forward_demodulation,[],[f27,f6]) ).
tff(f49,definition,
( spl1_4
<=> $less(2,$sum(4,a)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f52,plain,
spl1_4,
inference(avatar_split_clause,[],[f47,f49]) ).
tff(f53,plain,
$false,
inference(avatar_smt_refutation,[],[f52,f46,f41,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI652_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:55:03 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.64/1.29 % (270477)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.64/1.29 % (270486)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2135760274:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.64/1.29 % (270486)Instruction limit reached!
% 3.64/1.29 % (270486)------------------------------
% 3.64/1.29 % (270486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270486)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270486)Termination reason: Instruction limit
% 3.64/1.29 % (270486)Termination phase: Saturation
% 3.64/1.29 % (270486)Time elapsed: 0.003 s
% 3.64/1.29 % (270486)Peak memory usage: 89 MB
% 3.64/1.29 % (270486)Instructions burned: 8 (million)
% 3.64/1.29 % (270488)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=795029848:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.64/1.29 % (270483)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=771062071:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.64/1.29 % (270485)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3085429766:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.64/1.29 % (270484)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3260856052:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.64/1.29 % (270482)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4077464707:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.64/1.29 % (270485)Instruction limit reached!
% 3.64/1.29 % (270485)------------------------------
% 3.64/1.29 % (270485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270485)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270485)Termination reason: Instruction limit
% 3.64/1.29 % (270485)Termination phase: Saturation
% 3.64/1.29 % (270485)Time elapsed: 0.005 s
% 3.64/1.29 % (270485)Peak memory usage: 88 MB
% 3.64/1.29 % (270485)Instructions burned: 7 (million)
% 3.64/1.29 % (270487)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2101546470:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.64/1.29 % (270488)First to succeed.
% 3.64/1.29 % (270488)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-270477"
% 3.64/1.29 % (270483)Also succeeded, but the first one will report.
% 3.64/1.29 % (270482)Instruction limit reached!
% 3.64/1.29 % (270482)------------------------------
% 3.64/1.29 % (270482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270482)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270482)Termination reason: Instruction limit
% 3.64/1.29 % (270482)Termination phase: Saturation
% 3.64/1.29 % (270482)Time elapsed: 0.031 s
% 3.64/1.29 % (270482)Peak memory usage: 116 MB
% 3.64/1.29 % (270482)Instructions burned: 14 (million)
% 3.64/1.29 % (270487)Also succeeded, but the first one will report.
% 3.64/1.29 % (270490)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2592991507:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.64/1.29 % (270490)Refutation not found, incomplete strategy
% 3.64/1.29 % (270490)------------------------------
% 3.64/1.29 % (270490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270490)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270490)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.29 % (270490)Time elapsed: 0.0000 s
% 3.64/1.29 % (270490)Peak memory usage: 88 MB
% 3.64/1.29 % (270497)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=327984172:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.64/1.29 % (270484)Instruction limit reached!
% 3.64/1.29 % (270484)------------------------------
% 3.64/1.29 % (270484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270484)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270484)Termination reason: Instruction limit
% 3.64/1.29 % (270484)Termination phase: Saturation
% 3.64/1.29 % (270484)Time elapsed: 0.165 s
% 3.64/1.29 % (270484)Peak memory usage: 118 MB
% 3.64/1.29 % (270484)Instructions burned: 202 (million)
% 3.64/1.29 % (270497)Instruction limit reached!
% 3.64/1.29 % (270497)------------------------------
% 3.64/1.29 % (270497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270497)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270497)Termination reason: Instruction limit
% 3.64/1.29 % (270497)Termination phase: Saturation
% 3.64/1.29 % (270497)Time elapsed: 0.020 s
% 3.64/1.29 % (270497)Peak memory usage: 88 MB
% 3.64/1.29 % (270497)Instructions burned: 30 (million)
% 3.64/1.29 % (270498)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=204855936:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.64/1.29 % (270498)Instruction limit reached!
% 3.64/1.29 % (270498)------------------------------
% 3.64/1.29 % (270498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270498)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270498)Termination reason: Instruction limit
% 3.64/1.29 % (270498)Termination phase: Saturation
% 3.64/1.29 % (270498)Time elapsed: 0.009 s
% 3.64/1.29 % (270498)Peak memory usage: 90 MB
% 3.64/1.29 % (270498)Instructions burned: 16 (million)
% 3.64/1.29 % (270490)------------------------------
% 3.64/1.29 % (270490)------------------------------
% 3.64/1.29 % (270488)Refutation found. Thanks to Tanya!
% 3.64/1.29 % SZS status Theorem for theBenchmark
% 3.64/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.29 % (270488)------------------------------
% 3.64/1.29 % (270488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (270488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (270488)CaDiCaL version: 2.1.3
% 3.64/1.29 % (270488)Termination reason: Refutation
% 3.64/1.29 % (270488)Time elapsed: 0.033 s
% 3.64/1.29 % (270488)Peak memory usage: 117 MB
% 3.64/1.29 % (270488)Instructions burned: 10 (million)
% 3.64/1.29 % (270488)------------------------------
% 3.64/1.29 % (270488)------------------------------
% 3.64/1.29 % (270477)Success in time 0.434 s
% 3.64/1.29 % Vampire exiting
%------------------------------------------------------------------------------