%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI115_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 : 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 09:32:33 AM UTC 2026
% Result : Theorem 6.04s 1.72s
% Output : Refutation 6.04s
% 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 : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
'$inst0': $int ).
tff(f1,conjecture,
? [X0: $int] : ( $product(X0,-5) = 10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_what_n5_10) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $product(X0,-5) = 10 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
! [X0: $int] : ( $product(X0,-5) != 10 ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : ( $product(X0,-5) != 10 ),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
10 != $product(-2,-5),
inference(instantiation,[],[f22]) ).
tff(f25,plain,
$false,
inference(interpreted_simplification,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI115_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.25 % Computer : n013.cluster.edu
% 0.13/0.25 % Model : x86_64 x86_64
% 0.13/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.25 % Memory : 8046.5625MB
% 0.13/0.25 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Mon Sep 28 20:42:51 UTC 2026
% 0.13/0.26 % CPUTime :
% 0.13/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 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
% 6.04/1.72 % (1540074)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 6.04/1.72 % (1540079)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1462433467:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 6.04/1.72 % (1540079)Refutation not found, incomplete strategy
% 6.04/1.72 % (1540079)------------------------------
% 6.04/1.72 % (1540079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540079)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540079)Termination reason: Refutation not found, incomplete strategy
% 6.04/1.72 % (1540079)Time elapsed: 0.023 s
% 6.04/1.72 % (1540079)Peak memory usage: 112 MB
% 6.04/1.72 % (1540079)Instructions burned: 5 (million)
% 6.04/1.72 % (1540085)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3952163705:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 6.04/1.72 % (1540084)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3897803842:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 6.04/1.72 % (1540083)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4112228917:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 6.04/1.72 % (1540080)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2596567217:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 6.04/1.72 % (1540082)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1982019952:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 6.04/1.72 % (1540081)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=930030277:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 6.04/1.72 % (1540083)Instruction limit reached!
% 6.04/1.72 % (1540083)------------------------------
% 6.04/1.72 % (1540083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540083)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540083)Termination reason: Instruction limit
% 6.04/1.72 % (1540083)Termination phase: Saturation
% 6.04/1.72 % (1540083)Time elapsed: 0.006 s
% 6.04/1.72 % (1540083)Peak memory usage: 89 MB
% 6.04/1.72 % (1540083)Instructions burned: 5 (million)
% 6.04/1.72 % (1540082)Instruction limit reached!
% 6.04/1.72 % (1540082)------------------------------
% 6.04/1.72 % (1540082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540082)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540082)Termination reason: Instruction limit
% 6.04/1.72 % (1540082)Termination phase: Saturation
% 6.04/1.72 % (1540082)Time elapsed: 0.009 s
% 6.04/1.72 % (1540082)Peak memory usage: 88 MB
% 6.04/1.72 % (1540082)Instructions burned: 7 (million)
% 6.04/1.72 % (1540080)Refutation not found, incomplete strategy
% 6.04/1.72 % (1540080)------------------------------
% 6.04/1.72 % (1540080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540080)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540080)Termination reason: Refutation not found, incomplete strategy
% 6.04/1.72 % (1540080)Time elapsed: 0.038 s
% 6.04/1.72 % (1540080)Peak memory usage: 111 MB
% 6.04/1.72 % (1540080)Instructions burned: 5 (million)
% 6.04/1.72 % (1540084)Refutation not found, incomplete strategy
% 6.04/1.72 % (1540084)------------------------------
% 6.04/1.72 % (1540084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540084)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540084)Termination reason: Refutation not found, incomplete strategy
% 6.04/1.72 % (1540084)Time elapsed: 0.038 s
% 6.04/1.72 % (1540084)Peak memory usage: 111 MB
% 6.04/1.72 % (1540084)Instructions burned: 5 (million)
% 6.04/1.72 % (1540081)First to succeed.
% 6.04/1.72 % (1540081)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1540074"
% 6.04/1.72 % (1540085)Instruction limit reached!
% 6.04/1.72 % (1540085)------------------------------
% 6.04/1.72 % (1540085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540085)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540085)Termination reason: Instruction limit
% 6.04/1.72 % (1540085)Termination phase: Saturation
% 6.04/1.72 % (1540085)Time elapsed: 0.063 s
% 6.04/1.72 % (1540085)Peak memory usage: 112 MB
% 6.04/1.72 % (1540085)Instructions burned: 33 (million)
% 6.04/1.72 % (1540079)------------------------------
% 6.04/1.72 % (1540079)------------------------------
% 6.04/1.72 % (1540093)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4067963535:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.04/1.72 % (1540094)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=815071644:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.04/1.72 % (1540093)Refutation not found, incomplete strategy
% 6.04/1.72 % (1540093)------------------------------
% 6.04/1.72 % (1540093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540093)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540093)Termination reason: Refutation not found, incomplete strategy
% 6.04/1.72 % (1540093)Time elapsed: 0.002 s
% 6.04/1.72 % (1540093)Peak memory usage: 88 MB
% 6.04/1.72 % (1540094)Instruction limit reached!
% 6.04/1.72 % (1540094)------------------------------
% 6.04/1.72 % (1540094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540094)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540094)Termination reason: Instruction limit
% 6.04/1.72 % (1540094)Termination phase: Saturation
% 6.04/1.72 % (1540094)Time elapsed: 0.025 s
% 6.04/1.72 % (1540094)Peak memory usage: 88 MB
% 6.04/1.72 % (1540094)Instructions burned: 30 (million)
% 6.04/1.72 % (1540095)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=267458679:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.04/1.72 % (1540095)Also succeeded, but the first one will report.
% 6.04/1.72 % (1540096)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=835692559:i=24:canc=force:rtra=on_2995 on theBenchmark for (2995ds/24Mi)
% 6.04/1.72 % (1540096)Instruction limit reached!
% 6.04/1.72 % (1540096)------------------------------
% 6.04/1.72 % (1540096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540096)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540096)Termination reason: Instruction limit
% 6.04/1.72 % (1540096)Termination phase: Saturation
% 6.04/1.72 % (1540096)Time elapsed: 0.015 s
% 6.04/1.72 % (1540096)Peak memory usage: 89 MB
% 6.04/1.72 % (1540096)Instructions burned: 25 (million)
% 6.04/1.72 % (1540080)------------------------------
% 6.04/1.72 % (1540080)------------------------------
% 6.04/1.72 % (1540084)------------------------------
% 6.04/1.72 % (1540084)------------------------------
% 6.04/1.72 % (1540081)Refutation found. Thanks to Tanya!
% 6.04/1.72 % SZS status Theorem for theBenchmark
% 6.04/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 6.04/1.72 % (1540081)------------------------------
% 6.04/1.72 % (1540081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.04/1.72 % (1540081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.72 % (1540081)CaDiCaL version: 2.1.3
% 6.04/1.72 % (1540081)Termination reason: Refutation
% 6.04/1.72 % (1540081)Time elapsed: 0.042 s
% 6.04/1.72 % (1540081)Peak memory usage: 116 MB
% 6.04/1.72 % (1540081)Instructions burned: 6 (million)
% 6.04/1.72 % (1540081)------------------------------
% 6.04/1.72 % (1540081)------------------------------
% 6.04/1.72 % (1540074)Success in time 0.742 s
% 6.04/1.72 % Vampire exiting
%------------------------------------------------------------------------------