%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM908_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 : n011.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 12:17:25 PM UTC 2026
% Result : Theorem 0.17s 1.30s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 1 def)
% Number of atoms : 10 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 23 ( 0 atm; 12 fun; 7 num; 4 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 : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 3 !; 1 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] : ( $difference(X0,X0) = 0/1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_12) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : ( $difference(X0,X0) = 0/1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] : ( 0/1 = $sum(X0,$uminus(X0)) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
? [X0: $real] : ( 0/1 != $sum(X0,$uminus(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
0/1 != $sum(sK0,$uminus(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f17,plain,
0/1 != $sum(sK0,$uminus(sK0)),
inference(cnf_transformation,[],[f16]) ).
tff(f19,definition,
( spl1_1
<=> ( 0/1 = $sum(sK0,$uminus(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f22,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f17,f19]) ).
tff(f23,plain,
$false,
inference(avatar_smt_refutation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM908_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.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
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:39:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.17/1.30 % (2780827)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.17/1.30 % (2780906)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1636695382:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.17/1.30 % (2780906)First to succeed.
% 0.17/1.30 % (2780906)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2780827"
% 0.17/1.30 % (2780907)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=230431018:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.17/1.30 % (2780909)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2440030339:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.17/1.30 % (2780908)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2214218762:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.17/1.30 % (2780909)Also succeeded, but the first one will report.
% 0.17/1.30 % (2780911)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1903285709:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.17/1.30 % (2780912)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=598997527:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.17/1.30 % (2780908)Also succeeded, but the first one will report.
% 0.17/1.30 % (2780907)Also succeeded, but the first one will report.
% 0.17/1.30 % (2780911)Also succeeded, but the first one will report.
% 0.17/1.30 % (2780912)Also succeeded, but the first one will report.
% 0.17/1.30 % (2780910)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1829589096:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.17/1.30 % (2780910)Instruction limit reached!
% 0.17/1.30 % (2780910)------------------------------
% 0.17/1.30 % (2780910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.30 % (2780910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.30 % (2780910)CaDiCaL version: 2.1.3
% 0.17/1.30 % (2780910)Termination reason: Instruction limit
% 0.17/1.30 % (2780910)Termination phase: Saturation
% 0.17/1.30 % (2780910)Time elapsed: 0.006 s
% 0.17/1.30 % (2780910)Peak memory usage: 88 MB
% 0.17/1.30 % (2780910)Instructions burned: 4 (million)
% 0.17/1.30 % (2780906)Refutation found. Thanks to Tanya!
% 0.17/1.30 % SZS status Theorem for theBenchmark
% 0.17/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.30 % (2780906)------------------------------
% 0.17/1.30 % (2780906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.30 % (2780906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.30 % (2780906)CaDiCaL version: 2.1.3
% 0.17/1.30 % (2780906)Termination reason: Refutation
% 0.17/1.30 % (2780906)Time elapsed: 0.019 s
% 0.17/1.30 % (2780906)Peak memory usage: 115 MB
% 0.17/1.30 % (2780906)Instructions burned: 7 (million)
% 0.17/1.30 % (2780906)------------------------------
% 0.17/1.30 % (2780906)------------------------------
% 0.17/1.30 % (2780827)Success in time 0.317 s
% 0.17/1.30 % Vampire exiting
%------------------------------------------------------------------------------