%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI102_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 : n020.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 3.77s 1.35s
% Output : Refutation 3.77s
% 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(11,X0) = 121 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_11_something_121) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $product(11,X0) = 121 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
! [X0: $int] : ( $product(11,X0) != 121 ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : ( $product(11,X0) != 121 ),
inference(cnf_transformation,[],[f21]) ).
tff(f26,plain,
121 != $product(11,11),
inference(instantiation,[],[f22]) ).
tff(f28,plain,
$false,
inference(evaluation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI102_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n020.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:43:34 UTC 2026
% 0.26/0.27 % CPUTime :
% 0.26/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 3.77/1.35 % (517370)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.77/1.35 % (517382)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2029361269:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.77/1.35 % (517382)First to succeed.
% 3.77/1.35 % (517382)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-517370"
% 3.77/1.35 % (517380)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3422506010:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.77/1.35 % (517381)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3849290851:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.77/1.35 % (517379)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2443673759:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.77/1.35 % (517384)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2431491879:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.77/1.35 % (517385)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1670748072:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.77/1.35 % (517383)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=700755559:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.77/1.35 % (517383)Instruction limit reached!
% 3.77/1.35 % (517383)------------------------------
% 3.77/1.35 % (517383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.35 % (517383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.35 % (517383)CaDiCaL version: 2.1.3
% 3.77/1.35 % (517383)Termination reason: Instruction limit
% 3.77/1.35 % (517383)Termination phase: Saturation
% 3.77/1.35 % (517383)Time elapsed: 0.006 s
% 3.77/1.35 % (517383)Peak memory usage: 88 MB
% 3.77/1.35 % (517383)Instructions burned: 4 (million)
% 3.77/1.35 % (517380)Refutation not found, incomplete strategy
% 3.77/1.35 % (517380)------------------------------
% 3.77/1.35 % (517380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.35 % (517380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.35 % (517380)CaDiCaL version: 2.1.3
% 3.77/1.35 % (517380)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.35 % (517380)Time elapsed: 0.037 s
% 3.77/1.35 % (517380)Peak memory usage: 111 MB
% 3.77/1.35 % (517380)Instructions burned: 5 (million)
% 3.77/1.35 % (517379)Refutation not found, incomplete strategy
% 3.77/1.35 % (517379)------------------------------
% 3.77/1.35 % (517379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.35 % (517379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.35 % (517379)CaDiCaL version: 2.1.3
% 3.77/1.35 % (517379)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.35 % (517379)Time elapsed: 0.039 s
% 3.77/1.35 % (517379)Peak memory usage: 112 MB
% 3.77/1.35 % (517379)Instructions burned: 5 (million)
% 3.77/1.35 % (517381)Also succeeded, but the first one will report.
% 3.77/1.35 % (517384)Refutation not found, incomplete strategy
% 3.77/1.35 % (517384)------------------------------
% 3.77/1.35 % (517384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.35 % (517384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.35 % (517384)CaDiCaL version: 2.1.3
% 3.77/1.35 % (517384)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.35 % (517384)Time elapsed: 0.038 s
% 3.77/1.35 % (517384)Peak memory usage: 111 MB
% 3.77/1.35 % (517384)Instructions burned: 5 (million)
% 3.77/1.35 % (517385)Instruction limit reached!
% 3.77/1.35 % (517385)------------------------------
% 3.77/1.35 % (517385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.35 % (517385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.35 % (517385)CaDiCaL version: 2.1.3
% 3.77/1.35 % (517385)Termination reason: Instruction limit
% 3.77/1.35 % (517385)Termination phase: Saturation
% 3.77/1.35 % (517385)Time elapsed: 0.062 s
% 3.77/1.35 % (517385)Peak memory usage: 112 MB
% 3.77/1.35 % (517385)Instructions burned: 33 (million)
% 3.77/1.35 % (517382)Refutation found. Thanks to Tanya!
% 3.77/1.35 % SZS status Theorem for theBenchmark
% 3.77/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.35 % (517382)------------------------------
% 3.77/1.35 % (517382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.35 % (517382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.35 % (517382)CaDiCaL version: 2.1.3
% 3.77/1.35 % (517382)Termination reason: Refutation
% 3.77/1.35 % (517382)Time elapsed: 0.001 s
% 3.77/1.35 % (517382)Peak memory usage: 88 MB
% 3.77/1.35 % (517382)Instructions burned: 1 (million)
% 3.77/1.35 % (517382)------------------------------
% 3.77/1.35 % (517382)------------------------------
% 3.77/1.35 % (517370)Success in time 0.445 s
% 3.77/1.35 % Vampire exiting
%------------------------------------------------------------------------------