%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM902_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 : n010.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 12:17:24 PM UTC 2026
% Result : Theorem 2.68s 6.28s
% Output : Refutation 2.68s
% 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_4,type,
sK0: $rat ).
tff(func_def_5,type,
sK1: $rat ).
tff(f1,conjecture,
! [X1: $rat,X0: $rat] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_13) ).
tff(f2,negated_conjecture,
~ ! [X1: $rat,X0: $rat] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X1: $rat,X0: $rat] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ ! [X1: $rat,X0: $rat] :
( ( 0/1 = $sum(X1,$uminus(X0)) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
? [X1: $rat,X0: $rat] :
( ( 0/1 = $sum(X1,$uminus(X0)) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
? [X0: $rat,X1: $rat] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
& ( X0 != X1 ) ),
inference(rectify,[],[f5]) ).
tff(f7,plain,
( ( 0/1 = $sum(sK0,$uminus(sK1)) )
& ( sK1 != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
tff(f8,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f7]) ).
tff(f9,plain,
0/1 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f7]) ).
tff(f11,definition,
( spl2_1
<=> ( sK1 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f14,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f8,f11]) ).
tff(f16,definition,
( spl2_2
<=> ( 0/1 = $sum(sK0,$uminus(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f19,plain,
spl2_2,
inference(avatar_split_clause,[],[f9,f16]) ).
tff(f20,plain,
$false,
inference(avatar_smt_refutation,[],[f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM902_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n010.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 27 21:39:23 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 2.68/6.28 % (1331313)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.68/6.28 % (1331323)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4271904832:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.68/6.28 % (1331323)First to succeed.
% 2.68/6.28 % (1331323)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1331313"
% 2.68/6.28 % (1331319)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3099140488:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.68/6.28 % (1331321)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3616840269:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.68/6.28 % (1331322)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3213631247:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.68/6.28 % (1331320)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=682961616:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.68/6.28 % (1331318)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1411915932:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.68/6.28 % (1331321)Also succeeded, but the first one will report.
% 2.68/6.28 % (1331322)Instruction limit reached!
% 2.68/6.28 % (1331322)------------------------------
% 2.68/6.28 % (1331322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/6.28 % (1331322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/6.28 % (1331322)CaDiCaL version: 2.1.3
% 2.68/6.28 % (1331322)Termination reason: Instruction limit
% 2.68/6.28 % (1331322)Termination phase: Saturation
% 2.68/6.28 % (1331322)Time elapsed: 0.004 s
% 2.68/6.28 % (1331322)Peak memory usage: 88 MB
% 2.68/6.28 % (1331322)Instructions burned: 5 (million)
% 2.68/6.28 % (1331324)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4154379654:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.68/6.28 % (1331318)Also succeeded, but the first one will report.
% 2.68/6.28 % (1331319)Also succeeded, but the first one will report.
% 2.68/6.28 % (1331320)Also succeeded, but the first one will report.
% 2.68/6.28 % (1331324)Also succeeded, but the first one will report.
% 2.68/6.28 % (1331323)Refutation found. Thanks to Tanya!
% 2.68/6.28 % SZS status Theorem for theBenchmark
% 2.68/6.28 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/6.28 % (1331323)------------------------------
% 2.68/6.28 % (1331323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/6.28 % (1331323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/6.28 % (1331323)CaDiCaL version: 2.1.3
% 2.68/6.28 % (1331323)Termination reason: Refutation
% 2.68/6.28 % (1331323)Time elapsed: 0.019 s
% 2.68/6.28 % (1331323)Peak memory usage: 115 MB
% 2.68/6.28 % (1331323)Instructions burned: 8 (million)
% 2.68/6.28 % (1331323)------------------------------
% 2.68/6.28 % (1331323)------------------------------
% 2.68/6.28 % (1331313)Success in time 0.317 s
% 2.68/6.28 % Vampire exiting
%------------------------------------------------------------------------------