%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM909_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 : n008.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 0.16s 1.30s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 23 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 0 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 37 ( 0 atm; 16 fun; 9 num; 12 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 8 !; 4 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $real ).
tff(func_def_6,type,
sK1: $real ).
tff(f1,conjecture,
! [X1: $real,X0: $real] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_13) ).
tff(f2,negated_conjecture,
~ ! [X1: $real,X0: $real] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X1: $real,X0: $real] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
~ ! [X0: $real,X1: $real] :
( ( 0/1 = $sum(X1,$uminus(X0)) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f3]) ).
tff(f16,plain,
? [X1: $real,X0: $real] :
( ( X0 != X1 )
& ( 0/1 = $sum(X1,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
? [X0: $real,X1: $real] :
( ( X0 != X1 )
& ( 0/1 = $sum(X0,$uminus(X1)) ) ),
inference(rectify,[],[f16]) ).
tff(f18,plain,
( ( sK1 != sK0 )
& ( 0/1 = $sum(sK0,$uminus(sK1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f17]) ).
tff(f19,plain,
0/1 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f18]) ).
tff(f22,definition,
( spl2_1
<=> ( sK1 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f25,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f20,f22]) ).
tff(f27,definition,
( spl2_2
<=> ( 0/1 = $sum(sK0,$uminus(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f30,plain,
spl2_2,
inference(avatar_split_clause,[],[f19,f27]) ).
tff(f31,plain,
$false,
inference(avatar_smt_refutation,[],[f30,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM909_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 21:39:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.16/1.30 % (1625945)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.16/1.30 % (1625962)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1804275387:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 0.16/1.30 % (1625962)First to succeed.
% 0.16/1.30 % (1625962)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1625945"
% 0.16/1.30 % (1625963)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2639569665:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 0.16/1.30 % (1625964)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1983567843:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 0.16/1.30 % (1625965)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4216921641:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 0.16/1.30 % (1625968)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2383897537:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 0.16/1.30 % (1625967)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3258809559:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 0.16/1.30 % (1625966)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1160338191:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 0.16/1.30 % (1625965)Also succeeded, but the first one will report.
% 0.16/1.30 % (1625966)Instruction limit reached!
% 0.16/1.30 % (1625966)------------------------------
% 0.16/1.30 % (1625966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.30 % (1625966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.30 % (1625966)CaDiCaL version: 2.1.3
% 0.16/1.30 % (1625966)Termination reason: Instruction limit
% 0.16/1.30 % (1625966)Termination phase: Saturation
% 0.16/1.30 % (1625966)Time elapsed: 0.004 s
% 0.16/1.30 % (1625966)Peak memory usage: 89 MB
% 0.16/1.30 % (1625966)Instructions burned: 5 (million)
% 0.16/1.30 % (1625963)Also succeeded, but the first one will report.
% 0.16/1.30 % (1625964)Also succeeded, but the first one will report.
% 0.16/1.30 % (1625967)Also succeeded, but the first one will report.
% 0.16/1.30 % (1625968)Also succeeded, but the first one will report.
% 0.16/1.30 % (1625962)Refutation found. Thanks to Tanya!
% 0.16/1.30 % SZS status Theorem for theBenchmark
% 0.16/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.30 % (1625962)------------------------------
% 0.16/1.30 % (1625962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.30 % (1625962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.30 % (1625962)CaDiCaL version: 2.1.3
% 0.16/1.30 % (1625962)Termination reason: Refutation
% 0.16/1.30 % (1625962)Time elapsed: 0.018 s
% 0.16/1.30 % (1625962)Peak memory usage: 115 MB
% 0.16/1.30 % (1625962)Instructions burned: 8 (million)
% 0.16/1.30 % (1625962)------------------------------
% 0.16/1.30 % (1625962)------------------------------
% 0.16/1.30 % (1625945)Success in time 0.268 s
% 0.16/1.30 % Vampire exiting
%------------------------------------------------------------------------------