%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM917_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 : n001.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 2.81s 1.39s
% Output : Refutation 2.81s
% 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(X0,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $difference(X0,X2) = X1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X0,$uminus(X2)) = X1 ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X1,$uminus(X2)) = X0 ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X1,$uminus(X2)) != X0 ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
! [X2: $int] : ( sK0 != $sum(sK1,$uminus(X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f17]) ).
tff(f19,plain,
! [X2: $int] : ( sK0 != $sum(sK1,$uminus(X2)) ),
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
$false,
inference(gaussian_variable_elimination,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM917_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % 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 21:45:01 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.81/1.39 % (3983316)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.81/1.39 % (3983321)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=440693296:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.81/1.39 % (3983321)First to succeed.
% 2.81/1.39 % (3983321)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3983316"
% 2.81/1.39 % (3983323)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1583264745:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.81/1.39 % (3983322)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2234284314:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.81/1.39 % (3983327)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2119730838:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.81/1.39 % (3983324)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4278694990:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.81/1.39 % (3983326)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=664144294:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.81/1.39 % (3983325)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1582449851:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.81/1.39 % (3983325)Instruction limit reached!
% 2.81/1.39 % (3983325)------------------------------
% 2.81/1.39 % (3983325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.39 % (3983325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.39 % (3983325)CaDiCaL version: 2.1.3
% 2.81/1.39 % (3983325)Termination reason: Instruction limit
% 2.81/1.39 % (3983325)Termination phase: Saturation
% 2.81/1.39 % (3983325)Time elapsed: 0.004 s
% 2.81/1.39 % (3983325)Peak memory usage: 88 MB
% 2.81/1.39 % (3983325)Instructions burned: 5 (million)
% 2.81/1.39 % (3983324)Instruction limit reached!
% 2.81/1.39 % (3983324)------------------------------
% 2.81/1.39 % (3983324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.39 % (3983324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.39 % (3983324)CaDiCaL version: 2.1.3
% 2.81/1.39 % (3983324)Termination reason: Instruction limit
% 2.81/1.39 % (3983324)Termination phase: Saturation
% 2.81/1.39 % (3983324)Time elapsed: 0.006 s
% 2.81/1.39 % (3983324)Peak memory usage: 88 MB
% 2.81/1.39 % (3983324)Instructions burned: 7 (million)
% 2.81/1.39 % (3983326)Refutation not found, incomplete strategy
% 2.81/1.39 % (3983326)------------------------------
% 2.81/1.39 % (3983326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.39 % (3983326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.39 % (3983322)Refutation not found, incomplete strategy
% 2.81/1.39 % (3983322)------------------------------
% 2.81/1.39 % (3983322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.39 % (3983322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.39 % (3983326)CaDiCaL version: 2.1.3
% 2.81/1.39 % (3983322)CaDiCaL version: 2.1.3
% 2.81/1.39 % (3983326)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.39 % (3983326)Time elapsed: 0.028 s
% 2.81/1.39 % (3983322)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.39 % (3983322)Time elapsed: 0.028 s
% 2.81/1.39 % (3983326)Peak memory usage: 111 MB
% 2.81/1.39 % (3983322)Peak memory usage: 111 MB
% 2.81/1.39 % (3983326)Instructions burned: 5 (million)
% 2.81/1.39 % (3983322)Instructions burned: 5 (million)
% 2.81/1.39 % (3983323)Also succeeded, but the first one will report.
% 2.81/1.39 % (3983327)Also succeeded, but the first one will report.
% 2.81/1.39 % (3983321)Refutation found. Thanks to Tanya!
% 2.81/1.39 % SZS status Theorem for theBenchmark
% 2.81/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.81/1.39 % (3983321)------------------------------
% 2.81/1.39 % (3983321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.39 % (3983321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.39 % (3983321)CaDiCaL version: 2.1.3
% 2.81/1.39 % (3983321)Termination reason: Refutation
% 2.81/1.39 % (3983321)Time elapsed: 0.017 s
% 2.81/1.39 % (3983321)Peak memory usage: 112 MB
% 2.81/1.39 % (3983321)Instructions burned: 5 (million)
% 2.81/1.39 % (3983321)------------------------------
% 2.81/1.39 % (3983321)------------------------------
% 2.81/1.39 % (3983316)Success in time 0.315 s
% 2.81/1.39 % Vampire exiting
%------------------------------------------------------------------------------