%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI547_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:33:20 AM UTC 2026
% Result : Theorem 3.55s 1.05s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 51 ( 6 atm; 14 fun; 24 num; 7 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 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] :
( $less(8,X0)
& ( $product(X0,3) = 27 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_combined_problem_11) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] :
( $less(8,X0)
& ( $product(X0,3) = 27 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f21,plain,
! [X0: $int] :
( ~ $less(8,X0)
| ( $product(X0,3) != 27 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] :
( ( $product(X0,3) != 27 )
| ~ $less(8,X0) ),
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
! [X0: $int] :
( $less(0,$sum(9,$uminus(X0)))
| ( $product(X0,3) != 27 ) ),
inference(evaluation,[],[f22]) ).
tff(f24,plain,
! [X0: $int] :
( ( $product(X0,3) != 27 )
| ( $sum(9,$uminus(X0)) != 0 ) ),
inference(constrained_resolution,[],[f8,f23]) ).
tff(f25,plain,
27 != $product($uminus($sum(0,$uminus(9))),3),
inference(gaussian_variable_elimination,[],[f24]) ).
tff(f26,plain,
$false,
inference(evaluation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI547_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n006.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 20:51:40 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 3.55/1.05 % (180586)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.55/1.05 % (180674)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=147871325:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.55/1.05 % (180674)Instruction limit reached!
% 3.55/1.05 % (180674)------------------------------
% 3.55/1.05 % (180674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180674)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180674)Termination reason: Instruction limit
% 3.55/1.05 % (180674)Termination phase: Saturation
% 3.55/1.05 % (180674)Time elapsed: 0.026 s
% 3.55/1.05 % (180674)Peak memory usage: 112 MB
% 3.55/1.05 % (180674)Instructions burned: 35 (million)
% 3.55/1.05 % (180670)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1182106930:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.55/1.05 % (180667)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2711296165:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.55/1.05 % (180665)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=532614887:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.55/1.05 % (180672)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2267003964:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.55/1.05 % (180671)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3850388900:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.55/1.05 % (180668)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1183475058:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.55/1.05 % (180671)Instruction limit reached!
% 3.55/1.05 % (180671)------------------------------
% 3.55/1.05 % (180671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180671)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180671)Termination reason: Instruction limit
% 3.55/1.05 % (180671)Termination phase: Saturation
% 3.55/1.05 % (180671)Time elapsed: 0.004 s
% 3.55/1.05 % (180671)Peak memory usage: 88 MB
% 3.55/1.05 % (180671)Instructions burned: 5 (million)
% 3.55/1.05 % (180670)Instruction limit reached!
% 3.55/1.05 % (180670)------------------------------
% 3.55/1.05 % (180670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180670)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180670)Termination reason: Instruction limit
% 3.55/1.05 % (180670)Termination phase: Saturation
% 3.55/1.05 % (180670)Time elapsed: 0.005 s
% 3.55/1.05 % (180670)Peak memory usage: 88 MB
% 3.55/1.05 % (180670)Instructions burned: 7 (million)
% 3.55/1.05 % (180672)Refutation not found, incomplete strategy
% 3.55/1.05 % (180672)------------------------------
% 3.55/1.05 % (180672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180672)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180672)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.05 % (180672)Time elapsed: 0.027 s
% 3.55/1.05 % (180672)Peak memory usage: 111 MB
% 3.55/1.05 % (180672)Instructions burned: 5 (million)
% 3.55/1.05 % (180667)Refutation not found, incomplete strategy
% 3.55/1.05 % (180667)------------------------------
% 3.55/1.05 % (180667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180667)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180667)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.05 % (180667)Time elapsed: 0.028 s
% 3.55/1.05 % (180667)Peak memory usage: 111 MB
% 3.55/1.05 % (180667)Instructions burned: 5 (million)
% 3.55/1.05 % (180665)First to succeed.
% 3.55/1.05 % (180665)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-180586"
% 3.55/1.05 % (180668)Also succeeded, but the first one will report.
% 3.55/1.05 % (180706)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4133223558:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.55/1.05 % (180706)Refutation not found, incomplete strategy
% 3.55/1.05 % (180706)------------------------------
% 3.55/1.05 % (180706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180706)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180706)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.05 % (180706)Time elapsed: 0.001 s
% 3.55/1.05 % (180706)Peak memory usage: 89 MB
% 3.55/1.05 % (180713)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=128080957:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.55/1.05 % (180714)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3192710316:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.55/1.05 % (180714)Refutation not found, incomplete strategy
% 3.55/1.05 % (180714)------------------------------
% 3.55/1.05 % (180714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180714)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180714)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.05 % (180714)Time elapsed: 0.005 s
% 3.55/1.05 % (180714)Peak memory usage: 90 MB
% 3.55/1.05 % (180714)Instructions burned: 6 (million)
% 3.55/1.05 % (180713)Instruction limit reached!
% 3.55/1.05 % (180713)------------------------------
% 3.55/1.05 % (180713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180713)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180713)Termination reason: Instruction limit
% 3.55/1.05 % (180713)Termination phase: Saturation
% 3.55/1.05 % (180713)Time elapsed: 0.015 s
% 3.55/1.05 % (180713)Peak memory usage: 88 MB
% 3.55/1.05 % (180713)Instructions burned: 29 (million)
% 3.55/1.05 % (180706)------------------------------
% 3.55/1.05 % (180706)------------------------------
% 3.55/1.05 % (180667)------------------------------
% 3.55/1.05 % (180667)------------------------------
% 3.55/1.05 % (180672)------------------------------
% 3.55/1.05 % (180672)------------------------------
% 3.55/1.05 % (180665)Refutation found. Thanks to Tanya!
% 3.55/1.05 % SZS status Theorem for theBenchmark
% 3.55/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.05 % (180665)------------------------------
% 3.55/1.05 % (180665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05 % (180665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05 % (180665)CaDiCaL version: 2.1.3
% 3.55/1.05 % (180665)Termination reason: Refutation
% 3.55/1.05 % (180665)Time elapsed: 0.028 s
% 3.55/1.05 % (180665)Peak memory usage: 112 MB
% 3.55/1.05 % (180665)Instructions burned: 5 (million)
% 3.55/1.05 % (180665)------------------------------
% 3.55/1.05 % (180665)------------------------------
% 3.55/1.05 % (180586)Success in time 0.45 s
% 3.55/1.05 % Vampire exiting
%------------------------------------------------------------------------------