%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI101_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:32:32 AM UTC 2026
% Result : Theorem 3.55s 1.29s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 0 atm; 5 fun; 11 num; 4 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : ( $product(X0,11) = 121 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_something_11_121) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $product(X0,11) = 121 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
! [X0: $int] : ( $product(X0,11) != 121 ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : ( $product(X0,11) != 121 ),
inference(cnf_transformation,[],[f21]) ).
tff(f27,plain,
121 != $product(11,11),
inference(instantiation,[],[f22]) ).
tff(f28,plain,
$false,
inference(evaluation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI101_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:42:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.55/1.29 % (1538067)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.55/1.29 % (1538120)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2971609290:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.55/1.29 % (1538120)Refutation not found, incomplete strategy
% 3.55/1.29 % (1538120)------------------------------
% 3.55/1.29 % (1538120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538120)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538120)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29 % (1538120)Time elapsed: 0.017 s
% 3.55/1.29 % (1538120)Peak memory usage: 112 MB
% 3.55/1.29 % (1538120)Instructions burned: 5 (million)
% 3.55/1.29 % (1538119)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2202672783:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.55/1.29 % (1538124)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3093381881:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.55/1.29 % (1538122)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=91741703:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.55/1.29 % (1538123)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2442937839:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.55/1.29 % (1538121)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=669016957:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.55/1.29 % (1538125)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2639098445:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.55/1.29 % (1538122)First to succeed.
% 3.55/1.29 % (1538122)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1538067"
% 3.55/1.29 % (1538123)Instruction limit reached!
% 3.55/1.29 % (1538123)------------------------------
% 3.55/1.29 % (1538123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538123)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538123)Termination reason: Instruction limit
% 3.55/1.29 % (1538123)Termination phase: Saturation
% 3.55/1.29 % (1538123)Time elapsed: 0.004 s
% 3.55/1.29 % (1538123)Peak memory usage: 89 MB
% 3.55/1.29 % (1538123)Instructions burned: 5 (million)
% 3.55/1.29 % (1538119)Refutation not found, incomplete strategy
% 3.55/1.29 % (1538119)------------------------------
% 3.55/1.29 % (1538119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538119)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538119)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29 % (1538119)Time elapsed: 0.028 s
% 3.55/1.29 % (1538119)Peak memory usage: 112 MB
% 3.55/1.29 % (1538119)Instructions burned: 5 (million)
% 3.55/1.29 % (1538124)Refutation not found, incomplete strategy
% 3.55/1.29 % (1538124)------------------------------
% 3.55/1.29 % (1538124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538124)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538124)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29 % (1538124)Time elapsed: 0.027 s
% 3.55/1.29 % (1538124)Peak memory usage: 112 MB
% 3.55/1.29 % (1538124)Instructions burned: 5 (million)
% 3.55/1.29 % (1538121)Also succeeded, but the first one will report.
% 3.55/1.29 % (1538125)Instruction limit reached!
% 3.55/1.29 % (1538125)------------------------------
% 3.55/1.29 % (1538125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538125)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538125)Termination reason: Instruction limit
% 3.55/1.29 % (1538125)Termination phase: Saturation
% 3.55/1.29 % (1538125)Time elapsed: 0.043 s
% 3.55/1.29 % (1538125)Peak memory usage: 112 MB
% 3.55/1.29 % (1538125)Instructions burned: 34 (million)
% 3.55/1.29 % (1538120)------------------------------
% 3.55/1.29 % (1538120)------------------------------
% 3.55/1.29 % (1538133)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1603923885:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.55/1.29 % (1538133)Refutation not found, incomplete strategy
% 3.55/1.29 % (1538133)------------------------------
% 3.55/1.29 % (1538133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538133)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538133)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29 % (1538133)Time elapsed: 0.001 s
% 3.55/1.29 % (1538133)Peak memory usage: 88 MB
% 3.55/1.29 % (1538134)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=1192923153:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.55/1.29 % (1538134)Instruction limit reached!
% 3.55/1.29 % (1538134)------------------------------
% 3.55/1.29 % (1538134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538134)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538134)Termination reason: Instruction limit
% 3.55/1.29 % (1538134)Termination phase: Saturation
% 3.55/1.29 % (1538134)Time elapsed: 0.015 s
% 3.55/1.29 % (1538134)Peak memory usage: 88 MB
% 3.55/1.29 % (1538134)Instructions burned: 30 (million)
% 3.55/1.29 % (1538135)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1590185453:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.55/1.29 % (1538135)Also succeeded, but the first one will report.
% 3.55/1.29 % (1538122)Refutation found. Thanks to Tanya!
% 3.55/1.29 % SZS status Theorem for theBenchmark
% 3.55/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.29 % (1538122)------------------------------
% 3.55/1.29 % (1538122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (1538122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (1538122)CaDiCaL version: 2.1.3
% 3.55/1.29 % (1538122)Termination reason: Refutation
% 3.55/1.29 % (1538122)Time elapsed: 0.002 s
% 3.55/1.29 % (1538122)Peak memory usage: 89 MB
% 3.55/1.29 % (1538122)Instructions burned: 1 (million)
% 3.55/1.29 % (1538122)------------------------------
% 3.55/1.29 % (1538122)------------------------------
% 3.55/1.29 % (1538067)Success in time 0.412 s
% 3.55/1.29 % Vampire exiting
%------------------------------------------------------------------------------