%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM918_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 : n007.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 3.68s 1.51s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 29 ( 0 atm; 12 fun; 0 num; 17 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 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 11 !; 6 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
? [X2: $int] : ( $difference(X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $difference(X2,X0) = X1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,$uminus(X0)) = X1 ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,$uminus(X1)) = X0 ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,$uminus(X1)) != X0 ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
! [X2: $int] : ( $sum(X2,$uminus(sK1)) != sK0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f17]) ).
tff(f19,plain,
! [X2: $int] : ( $sum(X2,$uminus(sK1)) != sK0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
$false,
inference(gaussian_variable_elimination,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM918_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 21:37:26 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 3.68/1.51 % (1802208)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.68/1.51 % (1802226)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=156063218:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.68/1.51 % (1802226)Refutation not found, incomplete strategy
% 3.68/1.51 % (1802226)------------------------------
% 3.68/1.51 % (1802226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802226)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802226)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.51 % (1802226)Time elapsed: 0.017 s
% 3.68/1.51 % (1802226)Peak memory usage: 115 MB
% 3.68/1.51 % (1802226)Instructions burned: 6 (million)
% 3.68/1.51 % (1802228)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1484957439:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.68/1.51 % (1802224)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=403581101:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.68/1.51 % (1802233)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2027930048:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.68/1.51 % (1802229)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4184003574:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.68/1.51 % (1802231)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3242916827:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.68/1.51 % (1802229)Instruction limit reached!
% 3.68/1.51 % (1802229)------------------------------
% 3.68/1.51 % (1802229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802229)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802229)Termination reason: Instruction limit
% 3.68/1.51 % (1802229)Termination phase: Saturation
% 3.68/1.51 % (1802229)Time elapsed: 0.005 s
% 3.68/1.51 % (1802229)Peak memory usage: 88 MB
% 3.68/1.51 % (1802229)Instructions burned: 7 (million)
% 3.68/1.51 % (1802231)Instruction limit reached!
% 3.68/1.51 % (1802231)------------------------------
% 3.68/1.51 % (1802231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802231)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802231)Termination reason: Instruction limit
% 3.68/1.51 % (1802231)Termination phase: Saturation
% 3.68/1.51 % (1802231)Time elapsed: 0.003 s
% 3.68/1.51 % (1802231)Peak memory usage: 88 MB
% 3.68/1.51 % (1802231)Instructions burned: 4 (million)
% 3.68/1.51 % (1802234)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1719875885:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.68/1.51 % (1802233)Refutation not found, incomplete strategy
% 3.68/1.51 % (1802233)------------------------------
% 3.68/1.51 % (1802233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802224)First to succeed.
% 3.68/1.51 % (1802233)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802233)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.51 % (1802233)Time elapsed: 0.026 s
% 3.68/1.51 % (1802233)Peak memory usage: 112 MB
% 3.68/1.51 % (1802233)Instructions burned: 5 (million)
% 3.68/1.51 % (1802224)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1802208"
% 3.68/1.51 % (1802228)Also succeeded, but the first one will report.
% 3.68/1.51 % (1802234)Also succeeded, but the first one will report.
% 3.68/1.51 % (1802226)------------------------------
% 3.68/1.51 % (1802226)------------------------------
% 3.68/1.51 % (1802296)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2082473247:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.68/1.51 % (1802296)Refutation not found, incomplete strategy
% 3.68/1.51 % (1802296)------------------------------
% 3.68/1.51 % (1802296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802296)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802296)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.51 % (1802296)Time elapsed: 0.001 s
% 3.68/1.51 % (1802296)Peak memory usage: 89 MB
% 3.68/1.51 % (1802299)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=966200949:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.68/1.51 % (1802299)Instruction limit reached!
% 3.68/1.51 % (1802299)------------------------------
% 3.68/1.51 % (1802299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802299)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802299)Termination reason: Instruction limit
% 3.68/1.51 % (1802299)Termination phase: Saturation
% 3.68/1.51 % (1802299)Time elapsed: 0.015 s
% 3.68/1.51 % (1802299)Peak memory usage: 88 MB
% 3.68/1.51 % (1802299)Instructions burned: 29 (million)
% 3.68/1.51 % (1802335)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4016292739:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.68/1.51 % (1802335)Also succeeded, but the first one will report.
% 3.68/1.51 % (1802233)------------------------------
% 3.68/1.51 % (1802233)------------------------------
% 3.68/1.51 % (1802224)Refutation found. Thanks to Tanya!
% 3.68/1.51 % SZS status Theorem for theBenchmark
% 3.68/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.51 % (1802224)------------------------------
% 3.68/1.51 % (1802224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.51 % (1802224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.51 % (1802224)CaDiCaL version: 2.1.3
% 3.68/1.51 % (1802224)Termination reason: Refutation
% 3.68/1.51 % (1802224)Time elapsed: 0.027 s
% 3.68/1.51 % (1802224)Peak memory usage: 112 MB
% 3.68/1.51 % (1802224)Instructions burned: 5 (million)
% 3.68/1.51 % (1802224)------------------------------
% 3.68/1.51 % (1802224)------------------------------
% 3.68/1.51 % (1802208)Success in time 0.423 s
% 3.68/1.51 % Vampire exiting
%------------------------------------------------------------------------------