%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI175_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 : n005.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 09:32:37 AM UTC 2026
% Result : Theorem 5.97s 1.84s
% Output : Refutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 48 ( 0 atm; 18 fun; 20 num; 10 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 : 9 ( 2 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 4 !; 6 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
'$inst0': $int ).
tff(func_def_9,type,
'$inst1': $int ).
tff(f1,conjecture,
? [X1: $int,X0: $int] : ( $sum($product(3,X0),$product(5,X1)) = 23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ? [X1: $int,X0: $int] : ( $sum($product(3,X0),$product(5,X1)) = 23 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
~ ? [X1: $int,X0: $int] : ( 23 = $sum($product(3,X1),$product(5,X0)) ),
inference(rectify,[],[f2]) ).
tff(f22,plain,
! [X0: $int,X1: $int] : ( 23 != $sum($product(3,X1),$product(5,X0)) ),
inference(ennf_transformation,[],[f21]) ).
tff(f23,plain,
! [X0: $int,X1: $int] : ( 23 != $sum($product(3,X1),$product(5,X0)) ),
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
23 != $sum($product(3,6),$product(5,1)),
inference(instantiation,[],[f23]) ).
tff(f26,plain,
$false,
inference(interpreted_simplification,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI175_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n005.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 20:43:31 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 Running first-order theorem proving
% 0.28/0.32 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
% 5.97/1.84 % (1136419)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.97/1.84 % (1136441)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4241153754:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.97/1.84 % (1136441)Instruction limit reached!
% 5.97/1.84 % (1136441)------------------------------
% 5.97/1.84 % (1136441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136441)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136441)Termination reason: Instruction limit
% 5.97/1.84 % (1136441)Termination phase: Saturation
% 5.97/1.84 % (1136441)Time elapsed: 0.005 s
% 5.97/1.84 % (1136441)Peak memory usage: 88 MB
% 5.97/1.84 % (1136441)Instructions burned: 8 (million)
% 5.97/1.84 % (1136444)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2079483176:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.97/1.84 % (1136438)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3437214642:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.97/1.84 % (1136440)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1924361451:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.97/1.84 % (1136439)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=930135422:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.97/1.84 % (1136442)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=761993193:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.97/1.84 % (1136443)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1125335158:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.97/1.84 % (1136442)Instruction limit reached!
% 5.97/1.84 % (1136442)------------------------------
% 5.97/1.84 % (1136442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136442)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136442)Termination reason: Instruction limit
% 5.97/1.84 % (1136442)Termination phase: Saturation
% 5.97/1.84 % (1136442)Time elapsed: 0.006 s
% 5.97/1.84 % (1136442)Peak memory usage: 88 MB
% 5.97/1.84 % (1136442)Instructions burned: 4 (million)
% 5.97/1.84 % (1136439)Refutation not found, incomplete strategy
% 5.97/1.84 % (1136439)------------------------------
% 5.97/1.84 % (1136439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136439)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136439)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.84 % (1136439)Time elapsed: 0.038 s
% 5.97/1.84 % (1136439)Peak memory usage: 111 MB
% 5.97/1.84 % (1136439)Instructions burned: 5 (million)
% 5.97/1.84 % (1136438)Refutation not found, incomplete strategy
% 5.97/1.84 % (1136438)------------------------------
% 5.97/1.84 % (1136438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136438)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136438)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.84 % (1136438)Time elapsed: 0.039 s
% 5.97/1.84 % (1136438)Peak memory usage: 112 MB
% 5.97/1.84 % (1136438)Instructions burned: 5 (million)
% 5.97/1.84 % (1136444)Instruction limit reached!
% 5.97/1.84 % (1136444)------------------------------
% 5.97/1.84 % (1136444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136444)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136444)Termination reason: Instruction limit
% 5.97/1.84 % (1136444)Termination phase: Saturation
% 5.97/1.84 % (1136444)Time elapsed: 0.068 s
% 5.97/1.84 % (1136444)Peak memory usage: 112 MB
% 5.97/1.84 % (1136444)Instructions burned: 33 (million)
% 5.97/1.84 % (1136440)First to succeed.
% 5.97/1.84 % (1136440)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1136419"
% 5.97/1.84 % (1136443)Refutation not found, incomplete strategy
% 5.97/1.84 % (1136443)------------------------------
% 5.97/1.84 % (1136443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136443)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136443)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.84 % (1136443)Time elapsed: 0.038 s
% 5.97/1.84 % (1136443)Peak memory usage: 112 MB
% 5.97/1.84 % (1136443)Instructions burned: 5 (million)
% 5.97/1.84 % (1136446)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=818567535:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.97/1.84 % (1136446)Refutation not found, incomplete strategy
% 5.97/1.84 % (1136446)------------------------------
% 5.97/1.84 % (1136446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136446)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136446)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.84 % (1136446)Time elapsed: 0.002 s
% 5.97/1.84 % (1136446)Peak memory usage: 88 MB
% 5.97/1.84 % (1136453)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=1481231337:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.97/1.84 % (1136453)Instruction limit reached!
% 5.97/1.84 % (1136453)------------------------------
% 5.97/1.84 % (1136453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136453)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136453)Termination reason: Instruction limit
% 5.97/1.84 % (1136453)Termination phase: Saturation
% 5.97/1.84 % (1136453)Time elapsed: 0.013 s
% 5.97/1.84 % (1136453)Peak memory usage: 88 MB
% 5.97/1.84 % (1136453)Instructions burned: 30 (million)
% 5.97/1.84 % (1136454)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2440008306:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 5.97/1.84 % (1136454)Refutation not found, incomplete strategy
% 5.97/1.84 % (1136454)------------------------------
% 5.97/1.84 % (1136454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136454)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136454)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.84 % (1136454)Time elapsed: 0.007 s
% 5.97/1.84 % (1136454)Peak memory usage: 90 MB
% 5.97/1.84 % (1136454)Instructions burned: 5 (million)
% 5.97/1.84 % (1136438)------------------------------
% 5.97/1.84 % (1136438)------------------------------
% 5.97/1.84 % (1136439)------------------------------
% 5.97/1.84 % (1136439)------------------------------
% 5.97/1.84 % (1136443)------------------------------
% 5.97/1.84 % (1136443)------------------------------
% 5.97/1.84 % (1136440)Refutation found. Thanks to Tanya!
% 5.97/1.84 % SZS status Theorem for theBenchmark
% 5.97/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 5.97/1.84 % (1136440)------------------------------
% 5.97/1.84 % (1136440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.84 % (1136440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.84 % (1136440)CaDiCaL version: 2.1.3
% 5.97/1.84 % (1136440)Termination reason: Refutation
% 5.97/1.84 % (1136440)Time elapsed: 0.042 s
% 5.97/1.84 % (1136440)Peak memory usage: 116 MB
% 5.97/1.84 % (1136440)Instructions burned: 7 (million)
% 5.97/1.84 % (1136440)------------------------------
% 5.97/1.84 % (1136440)------------------------------
% 5.97/1.84 % (1136419)Success in time 0.72 s
% 5.97/1.84 % Vampire exiting
%------------------------------------------------------------------------------