%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM916_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 : n014.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 12:17:26 PM UTC 2026
% Result : Theorem 0.15s 1.51s
% Output : Refutation 0.15s
% 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 : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 16 ( 0 atm; 5 fun; 0 num; 11 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 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 7 !; 4 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,X0) = X1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,X0) != X1 ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X2: $int] : ( $sum(X2,sK0) != sK1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f15]) ).
tff(f17,plain,
! [X2: $int] : ( $sum(X2,sK0) != sK1 ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
$false,
inference(gaussian_variable_elimination,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM916_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 21:39:01 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.15/1.51 % (1192737)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.15/1.51 % (1192747)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=707572303:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.15/1.51 % (1192747)Refutation not found, incomplete strategy
% 0.15/1.51 % (1192747)------------------------------
% 0.15/1.51 % (1192747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192747)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192747)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.51 % (1192747)Time elapsed: 0.017 s
% 0.15/1.51 % (1192747)Peak memory usage: 112 MB
% 0.15/1.51 % (1192747)Instructions burned: 5 (million)
% 0.15/1.51 % (1192746)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=72360438:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.15/1.51 % (1192744)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=128507462:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.15/1.51 % (1192742)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1767542366:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.15/1.51 % (1192743)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3699642149:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.15/1.51 % (1192745)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2261201119:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.15/1.51 % (1192746)Instruction limit reached!
% 0.15/1.51 % (1192746)------------------------------
% 0.15/1.51 % (1192746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192746)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192746)Termination reason: Instruction limit
% 0.15/1.51 % (1192746)Termination phase: Saturation
% 0.15/1.51 % (1192746)Time elapsed: 0.004 s
% 0.15/1.51 % (1192746)Peak memory usage: 88 MB
% 0.15/1.51 % (1192746)Instructions burned: 5 (million)
% 0.15/1.51 % (1192745)Instruction limit reached!
% 0.15/1.51 % (1192745)------------------------------
% 0.15/1.51 % (1192745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192745)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192745)Termination reason: Instruction limit
% 0.15/1.51 % (1192745)Termination phase: Saturation
% 0.15/1.51 % (1192745)Time elapsed: 0.006 s
% 0.15/1.51 % (1192745)Peak memory usage: 88 MB
% 0.15/1.51 % (1192745)Instructions burned: 7 (million)
% 0.15/1.51 % (1192748)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=305540937:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.15/1.51 % (1192743)Refutation not found, incomplete strategy
% 0.15/1.51 % (1192743)------------------------------
% 0.15/1.51 % (1192743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192742)First to succeed.
% 0.15/1.51 % (1192743)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192743)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.51 % (1192743)Time elapsed: 0.028 s
% 0.15/1.51 % (1192743)Peak memory usage: 112 MB
% 0.15/1.51 % (1192743)Instructions burned: 5 (million)
% 0.15/1.51 % (1192744)Also succeeded, but the first one will report.
% 0.15/1.51 % (1192742)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1192737"
% 0.15/1.51 % (1192748)Also succeeded, but the first one will report.
% 0.15/1.51 % (1192747)------------------------------
% 0.15/1.51 % (1192747)------------------------------
% 0.15/1.51 % (1192755)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3982687722:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.15/1.51 % (1192755)Refutation not found, incomplete strategy
% 0.15/1.51 % (1192755)------------------------------
% 0.15/1.51 % (1192755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192755)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192755)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.51 % (1192755)Time elapsed: 0.001 s
% 0.15/1.51 % (1192755)Peak memory usage: 89 MB
% 0.15/1.51 % (1192756)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=798161041:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 0.15/1.51 % (1192756)Instruction limit reached!
% 0.15/1.51 % (1192756)------------------------------
% 0.15/1.51 % (1192756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192756)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192756)Termination reason: Instruction limit
% 0.15/1.51 % (1192756)Termination phase: Saturation
% 0.15/1.51 % (1192756)Time elapsed: 0.016 s
% 0.15/1.51 % (1192756)Peak memory usage: 88 MB
% 0.15/1.51 % (1192756)Instructions burned: 30 (million)
% 0.15/1.51 % (1192743)------------------------------
% 0.15/1.51 % (1192743)------------------------------
% 0.15/1.51 % (1192758)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=830866088:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 0.15/1.51 % (1192758)Also succeeded, but the first one will report.
% 0.15/1.51 % (1192742)Refutation found. Thanks to Tanya!
% 0.15/1.51 % SZS status Theorem for theBenchmark
% 0.15/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (1192742)------------------------------
% 0.15/1.51 % (1192742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1192742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1192742)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1192742)Termination reason: Refutation
% 0.15/1.51 % (1192742)Time elapsed: 0.028 s
% 0.15/1.51 % (1192742)Peak memory usage: 111 MB
% 0.15/1.51 % (1192742)Instructions burned: 5 (million)
% 0.15/1.51 % (1192742)------------------------------
% 0.15/1.51 % (1192742)------------------------------
% 0.15/1.51 % (1192737)Success in time 0.473 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------