%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM890_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 : n014.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 12:17:22 PM UTC 2026
% Result : Theorem 2.87s 1.39s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 12 unt; 0 typ; 5 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 24 ( 0 atm; 14 fun; 7 num; 3 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 : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_3,type,
sK0: $int ).
tff(func_def_4,type,
sF1: $int ).
tff(func_def_5,type,
sF2: $int ).
tff(f1,conjecture,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_uminus_to_0) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
? [X0: $int] : ( $sum(X0,$uminus(X0)) != 0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
0 != $sum(sK0,$uminus(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f3]) ).
tff(f5,plain,
0 != $sum(sK0,$uminus(sK0)),
inference(cnf_transformation,[],[f4]) ).
tff(f6,definition,
sF1 = $uminus(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f7,definition,
sF2 = $sum(sK0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f8,plain,
0 != sF2,
inference(definition_folding,[],[f5,f7,f6]) ).
tff(f10,definition,
( spl3_1
<=> ( sF1 = $uminus(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f13,plain,
spl3_1,
inference(avatar_split_clause,[],[f6,f10]) ).
tff(f15,definition,
( spl3_2
<=> ( sF2 = $sum(sK0,sF1) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f18,plain,
spl3_2,
inference(avatar_split_clause,[],[f7,f15]) ).
tff(f20,definition,
( spl3_3
<=> ( 0 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f23,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f8,f20]) ).
tff(f24,plain,
$false,
inference(avatar_smt_refutation,[],[f23,f18,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM890_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:38:03 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.87/1.39 % (1190263)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.87/1.39 % (1190353)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3904749229:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.87/1.39 % (1190353)First to succeed.
% 2.87/1.39 % (1190353)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1190263"
% 2.87/1.39 % (1190352)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3045030641:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.87/1.39 % (1190356)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1030846329:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.87/1.39 % (1190354)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=928921188:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.87/1.39 % (1190355)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=655093449:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.87/1.39 % (1190355)Also succeeded, but the first one will report.
% 2.87/1.39 % (1190356)Instruction limit reached!
% 2.87/1.39 % (1190356)------------------------------
% 2.87/1.39 % (1190356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.39 % (1190356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.39 % (1190356)CaDiCaL version: 2.1.3
% 2.87/1.39 % (1190356)Termination reason: Instruction limit
% 2.87/1.39 % (1190356)Termination phase: Saturation
% 2.87/1.39 % (1190356)Time elapsed: 0.004 s
% 2.87/1.39 % (1190356)Peak memory usage: 88 MB
% 2.87/1.39 % (1190356)Instructions burned: 5 (million)
% 2.87/1.39 % (1190358)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2747996970:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.87/1.39 % (1190352)Also succeeded, but the first one will report.
% 2.87/1.39 % (1190354)Also succeeded, but the first one will report.
% 2.87/1.39 % (1190357)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4126727561:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.87/1.39 % (1190358)Also succeeded, but the first one will report.
% 2.87/1.39 % (1190357)Also succeeded, but the first one will report.
% 2.87/1.39 % (1190353)Refutation found. Thanks to Tanya!
% 2.87/1.39 % SZS status Theorem for theBenchmark
% 2.87/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.39 % (1190353)------------------------------
% 2.87/1.39 % (1190353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.39 % (1190353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.39 % (1190353)CaDiCaL version: 2.1.3
% 2.87/1.39 % (1190353)Termination reason: Refutation
% 2.87/1.39 % (1190353)Time elapsed: 0.020 s
% 2.87/1.39 % (1190353)Peak memory usage: 115 MB
% 2.87/1.39 % (1190353)Instructions burned: 8 (million)
% 2.87/1.39 % (1190353)------------------------------
% 2.87/1.39 % (1190353)------------------------------
% 2.87/1.39 % (1190263)Success in time 0.325 s
% 2.87/1.39 % Vampire exiting
%------------------------------------------------------------------------------