%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM915_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 12:17:26 PM UTC 2026
% Result : Theorem 5.69s 1.93s
% Output : Refutation 5.69s
% 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 : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 0 atm; 6 fun; 0 num; 14 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 : 14 ( 8 !; 6 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X0,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X0,X2) = X1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X1: $int,X0: $int] :
! [X2: $int] : ( $sum(X0,X2) != X1 ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X1,X2) != X0 ),
inference(rectify,[],[f15]) ).
tff(f17,plain,
! [X2: $int] : ( $sum(sK1,X2) != sK0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
tff(f18,plain,
! [X2: $int] : ( $sum(sK1,X2) != sK0 ),
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
$false,
inference(gaussian_variable_elimination,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM915_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n020.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 21:40:04 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 5.69/1.92 % (3779765)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.69/1.92 % (3779774)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1502888093:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.69/1.92 % (3779774)Instruction limit reached!
% 5.69/1.92 % (3779774)------------------------------
% 5.69/1.92 % (3779774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.92 % (3779774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.92 % (3779774)CaDiCaL version: 2.1.3
% 5.69/1.92 % (3779774)Termination reason: Instruction limit
% 5.69/1.92 % (3779774)Termination phase: Saturation
% 5.69/1.92 % (3779774)Time elapsed: 0.002 s
% 5.69/1.92 % (3779774)Peak memory usage: 88 MB
% 5.69/1.92 % (3779774)Instructions burned: 5 (million)
% 5.69/1.92 % (3779772)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4089312329:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.69/1.92 % (3779770)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1664904805:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.69/1.92 % (3779773)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3680729166:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.69/1.92 % (3779776)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2740537299:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.69/1.92 % (3779771)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1748806346:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.69/1.92 % (3779773)Instruction limit reached!
% 5.69/1.92 % (3779773)------------------------------
% 5.69/1.92 % (3779773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.92 % (3779773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.92 % (3779773)CaDiCaL version: 2.1.3
% 5.69/1.92 % (3779773)Termination reason: Instruction limit
% 5.69/1.92 % (3779773)Termination phase: Saturation
% 5.69/1.92 % (3779773)Time elapsed: 0.009 s
% 5.69/1.92 % (3779773)Peak memory usage: 88 MB
% 5.69/1.92 % (3779773)Instructions burned: 7 (million)
% 5.69/1.92 % (3779775)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2333084635:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.69/1.92 % (3779770)First to succeed.
% 5.69/1.92 % (3779771)Refutation not found, incomplete strategy
% 5.69/1.92 % (3779771)------------------------------
% 5.69/1.92 % (3779771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.92 % (3779771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.92 % (3779771)CaDiCaL version: 2.1.3
% 5.69/1.92 % (3779771)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.92 % (3779771)Time elapsed: 0.038 s
% 5.69/1.92 % (3779771)Peak memory usage: 112 MB
% 5.69/1.92 % (3779771)Instructions burned: 5 (million)
% 5.69/1.92 % (3779770)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3779765"
% 5.69/1.92 % (3779772)Also succeeded, but the first one will report.
% 5.69/1.92 % (3779776)Also succeeded, but the first one will report.
% 5.69/1.92 % (3779775)Refutation not found, incomplete strategy
% 5.69/1.92 % (3779775)------------------------------
% 5.69/1.92 % (3779775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.92 % (3779775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.92 % (3779775)CaDiCaL version: 2.1.3
% 5.69/1.92 % (3779775)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.92 % (3779775)Time elapsed: 0.038 s
% 5.69/1.92 % (3779775)Peak memory usage: 112 MB
% 5.69/1.92 % (3779775)Instructions burned: 5 (million)
% 5.69/1.92 % (3779778)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3067601041:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.69/1.92 % (3779778)Refutation not found, incomplete strategy
% 5.69/1.92 % (3779778)------------------------------
% 5.69/1.92 % (3779778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.92 % (3779778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.92 % (3779778)CaDiCaL version: 2.1.3
% 5.69/1.92 % (3779778)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.92 % (3779778)Time elapsed: 0.001 s
% 5.69/1.92 % (3779778)Peak memory usage: 89 MB
% 5.69/1.92 % (3779784)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=930442977:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.69/1.92 % (3779784)Instruction limit reached!
% 5.69/1.92 % (3779784)------------------------------
% 5.69/1.92 % (3779784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.92 % (3779784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.92 % (3779784)CaDiCaL version: 2.1.3
% 5.69/1.92 % (3779784)Termination reason: Instruction limit
% 5.69/1.92 % (3779784)Termination phase: Saturation
% 5.69/1.92 % (3779784)Time elapsed: 0.019 s
% 5.69/1.92 % (3779784)Peak memory usage: 88 MB
% 5.69/1.92 % (3779784)Instructions burned: 30 (million)
% 5.69/1.92 % (3779778)------------------------------
% 5.69/1.92 % (3779778)------------------------------
% 5.69/1.92 % (3779771)------------------------------
% 5.69/1.92 % (3779771)------------------------------
% 5.69/1.92 % (3779770)Refutation found. Thanks to Tanya!
% 5.69/1.93 % SZS status Theorem for theBenchmark
% 5.69/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 5.69/1.93 % (3779770)------------------------------
% 5.69/1.93 % (3779770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.93 % (3779770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.93 % (3779770)CaDiCaL version: 2.1.3
% 5.69/1.93 % (3779770)Termination reason: Refutation
% 5.69/1.93 % (3779770)Time elapsed: 0.038 s
% 5.69/1.93 % (3779770)Peak memory usage: 112 MB
% 5.69/1.93 % (3779770)Instructions burned: 5 (million)
% 5.69/1.93 % (3779770)------------------------------
% 5.69/1.93 % (3779770)------------------------------
% 5.69/1.93 % (3779765)Success in time 0.692 s
% 5.69/1.93 % Vampire exiting
%------------------------------------------------------------------------------