%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI188_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 : n010.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 09:32:39 AM UTC 2026
% Result : Theorem 5.95s 1.78s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 17 ( 0 atm; 4 fun; 8 num; 5 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(f1,conjecture,
( ! [X0: $int] : p($sum(X0,3))
=> p(5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : p($sum(X0,3))
=> p(5) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
( ~ p(5)
& ! [X0: $int] : p($sum(X0,3)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : p($sum(X0,3)),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
~ p(5),
inference(cnf_transformation,[],[f15]) ).
tff(f21,plain,
! [X0: $int] : p(X0),
inference(arithmetic_subterm_generalization,[],[f16]) ).
tff(f40,plain,
$false,
inference(resolution,[],[f21,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI188_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n010.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Mon Sep 28 20:44:17 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 5.95/1.78 % (2297600)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.95/1.78 % (2297609)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3505838226:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.95/1.78 % (2297612)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1807396132:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.95/1.78 % (2297612)Instruction limit reached!
% 5.95/1.78 % (2297612)------------------------------
% 5.95/1.78 % (2297612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297612)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297612)Termination reason: Instruction limit
% 5.95/1.78 % (2297612)Termination phase: Saturation
% 5.95/1.78 % (2297612)Time elapsed: 0.005 s
% 5.95/1.78 % (2297612)Peak memory usage: 89 MB
% 5.95/1.78 % (2297612)Instructions burned: 6 (million)
% 5.95/1.78 % (2297609)Refutation not found, incomplete strategy
% 5.95/1.78 % (2297609)------------------------------
% 5.95/1.78 % (2297609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297609)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297609)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.78 % (2297609)Time elapsed: 0.023 s
% 5.95/1.78 % (2297609)Peak memory usage: 114 MB
% 5.95/1.78 % (2297609)Instructions burned: 5 (million)
% 5.95/1.78 % (2297608)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=336243920:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.95/1.78 % (2297611)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3285836396:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.95/1.78 % (2297610)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=728230694:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.95/1.78 % (2297611)Instruction limit reached!
% 5.95/1.78 % (2297611)------------------------------
% 5.95/1.78 % (2297611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297611)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297611)Termination reason: Instruction limit
% 5.95/1.78 % (2297611)Termination phase: Saturation
% 5.95/1.78 % (2297611)Time elapsed: 0.010 s
% 5.95/1.78 % (2297611)Peak memory usage: 88 MB
% 5.95/1.78 % (2297611)Instructions burned: 7 (million)
% 5.95/1.78 % (2297613)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=588494237:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.95/1.78 % (2297614)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=10864519:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.95/1.78 % (2297608)Refutation not found, incomplete strategy
% 5.95/1.78 % (2297608)------------------------------
% 5.95/1.78 % (2297608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297608)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297608)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.78 % (2297608)Time elapsed: 0.041 s
% 5.95/1.78 % (2297608)Peak memory usage: 115 MB
% 5.95/1.78 % (2297608)Instructions burned: 6 (million)
% 5.95/1.78 % (2297610)First to succeed.
% 5.95/1.78 % (2297610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2297600"
% 5.95/1.78 % (2297613)Refutation not found, incomplete strategy
% 5.95/1.78 % (2297613)------------------------------
% 5.95/1.78 % (2297613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297613)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297613)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.78 % (2297613)Time elapsed: 0.040 s
% 5.95/1.78 % (2297613)Peak memory usage: 114 MB
% 5.95/1.78 % (2297613)Instructions burned: 6 (million)
% 5.95/1.78 % (2297614)Also succeeded, but the first one will report.
% 5.95/1.78 % (2297609)------------------------------
% 5.95/1.78 % (2297609)------------------------------
% 5.95/1.78 % (2297617)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4177382736:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.95/1.78 % (2297617)Refutation not found, incomplete strategy
% 5.95/1.78 % (2297617)------------------------------
% 5.95/1.78 % (2297617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297617)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297617)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.78 % (2297617)Time elapsed: 0.001 s
% 5.95/1.78 % (2297617)Peak memory usage: 88 MB
% 5.95/1.78 % (2297624)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=65700974:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.95/1.78 % (2297624)Instruction limit reached!
% 5.95/1.78 % (2297624)------------------------------
% 5.95/1.78 % (2297624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297624)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297624)Termination reason: Instruction limit
% 5.95/1.78 % (2297624)Termination phase: Saturation
% 5.95/1.78 % (2297624)Time elapsed: 0.023 s
% 5.95/1.78 % (2297624)Peak memory usage: 88 MB
% 5.95/1.78 % (2297624)Instructions burned: 29 (million)
% 5.95/1.78 % (2297625)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=143153392:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/16Mi)
% 5.95/1.78 % (2297625)Also succeeded, but the first one will report.
% 5.95/1.78 % (2297613)------------------------------
% 5.95/1.78 % (2297613)------------------------------
% 5.95/1.78 % (2297608)------------------------------
% 5.95/1.78 % (2297608)------------------------------
% 5.95/1.78 % (2297610)Refutation found. Thanks to Tanya!
% 5.95/1.78 % SZS status Theorem for theBenchmark
% 5.95/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.78 % (2297610)------------------------------
% 5.95/1.78 % (2297610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (2297610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (2297610)CaDiCaL version: 2.1.3
% 5.95/1.78 % (2297610)Termination reason: Refutation
% 5.95/1.78 % (2297610)Time elapsed: 0.042 s
% 5.95/1.78 % (2297610)Peak memory usage: 113 MB
% 5.95/1.78 % (2297610)Instructions burned: 7 (million)
% 5.95/1.78 % (2297610)------------------------------
% 5.95/1.78 % (2297610)------------------------------
% 5.95/1.78 % (2297600)Success in time 0.733 s
% 5.95/1.78 % Vampire exiting
%------------------------------------------------------------------------------