%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM891_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 : n020.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 4.33s 1.72s
% Output : Refutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 1 unt; 0 typ; 2 def)
% Number of atoms : 27 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 24 ( 9 ~; 8 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 24 ( 0 atm; 10 fun; 10 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( X0 = $uminus(X0) )
<=> ( X0 = 0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uminus_equal) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( X0 = $uminus(X0) )
<=> ( X0 = 0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int] :
( ( X0 = 0 )
<~> ( X0 = $uminus(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
? [X0: $int] :
( ( ( $uminus(X0) != X0 )
| ( 0 != X0 ) )
& ( ( X0 = $uminus(X0) )
| ( X0 = 0 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f17,plain,
( ( ( sK0 != $uminus(sK0) )
| ( 0 != sK0 ) )
& ( ( sK0 = $uminus(sK0) )
| ( 0 = sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
( ( sK0 = $uminus(sK0) )
| ( 0 = sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
( ( sK0 != $uminus(sK0) )
| ( 0 != sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f21,definition,
( spl1_1
<=> ( sK0 = $uminus(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f25,definition,
( spl1_2
<=> ( 0 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f28,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
tff(f29,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f18,f25,f21]) ).
tff(f30,plain,
$false,
inference(avatar_smt_refutation,[],[f29,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM891_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 21:39:05 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 4.33/1.72 % (3777621)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.33/1.72 % (3777626)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2131929621:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 4.33/1.72 % (3777626)First to succeed.
% 4.33/1.72 % (3777626)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3777621"
% 4.33/1.72 % (3777630)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=561140956:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 4.33/1.72 % (3777632)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2119748024:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 4.33/1.72 % (3777627)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3021458297:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 4.33/1.72 % (3777629)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4081997145:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 4.33/1.72 % (3777628)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2384148664:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 4.33/1.72 % (3777630)Instruction limit reached!
% 4.33/1.72 % (3777630)------------------------------
% 4.33/1.72 % (3777630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.72 % (3777630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.72 % (3777630)CaDiCaL version: 2.1.3
% 4.33/1.72 % (3777630)Termination reason: Instruction limit
% 4.33/1.72 % (3777630)Termination phase: Saturation
% 4.33/1.72 % (3777630)Time elapsed: 0.006 s
% 4.33/1.72 % (3777630)Peak memory usage: 88 MB
% 4.33/1.72 % (3777630)Instructions burned: 5 (million)
% 4.33/1.72 % (3777629)Instruction limit reached!
% 4.33/1.72 % (3777629)------------------------------
% 4.33/1.72 % (3777629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.72 % (3777629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.72 % (3777629)CaDiCaL version: 2.1.3
% 4.33/1.72 % (3777629)Termination reason: Instruction limit
% 4.33/1.72 % (3777629)Termination phase: Saturation
% 4.33/1.72 % (3777629)Time elapsed: 0.009 s
% 4.33/1.72 % (3777629)Peak memory usage: 88 MB
% 4.33/1.72 % (3777629)Instructions burned: 7 (million)
% 4.33/1.72 % (3777631)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1521153473:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 4.33/1.72 % (3777627)Also succeeded, but the first one will report.
% 4.33/1.72 % (3777632)Also succeeded, but the first one will report.
% 4.33/1.72 % (3777631)Also succeeded, but the first one will report.
% 4.33/1.72 % (3777628)Also succeeded, but the first one will report.
% 4.33/1.72 % (3777626)Refutation found. Thanks to Tanya!
% 4.33/1.72 % SZS status Theorem for theBenchmark
% 4.33/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.33/1.72 % (3777626)------------------------------
% 4.33/1.72 % (3777626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.72 % (3777626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.72 % (3777626)CaDiCaL version: 2.1.3
% 4.33/1.72 % (3777626)Termination reason: Refutation
% 4.33/1.72 % (3777626)Time elapsed: 0.025 s
% 4.33/1.72 % (3777626)Peak memory usage: 115 MB
% 4.33/1.72 % (3777626)Instructions burned: 8 (million)
% 4.33/1.72 % (3777626)------------------------------
% 4.33/1.72 % (3777626)------------------------------
% 4.33/1.72 % (3777621)Success in time 0.499 s
% 4.33/1.72 % Vampire exiting
%------------------------------------------------------------------------------