%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI433_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 : n013.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 09:33:08 AM UTC 2026
% Result : Theorem 2.61s 0.88s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 2 def)
% Number of atoms : 20 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 30 ( 0 atm; 12 fun; 11 num; 7 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 : 7 ( 4 !; 3 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sF0: $real ).
tff(f1,conjecture,
? [X0: $real] : ( $difference(X0,0/1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_9) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : ( $difference(X0,0/1) = X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $real] : ( $sum(X0,$uminus(0/1)) = X0 ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
! [X0: $real] : ( $sum(X0,$uminus(0/1)) != X0 ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $real] : ( $sum(X0,$uminus(0/1)) != X0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f17,definition,
sF0 = $uminus(0/1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f18,plain,
$uminus(0/1) = sF0,
inference(reorient_equations,[],[f17]) ).
tff(f19,plain,
! [X0: $real] : ( $sum(X0,sF0) != X0 ),
inference(definition_folding,[],[f16,f18]) ).
tff(f20,plain,
0/1 = sF0,
inference(evaluation,[],[f18]) ).
tff(f22,definition,
( spl1_1
<=> ( 0/1 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f24,plain,
( ( 0/1 = sF0 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f25,plain,
spl1_1,
inference(avatar_split_clause,[],[f20,f22]) ).
tff(f26,plain,
( ! [X0: $real] : ( $sum(X0,0/1) != X0 )
| ~ spl1_1 ),
inference(superposition,[],[f19,f24]) ).
tff(f27,plain,
( $false
| ~ spl1_1 ),
inference(evaluation,[],[f26]) ).
tff(f28,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f27]) ).
tff(f29,plain,
$false,
inference(avatar_smt_refutation,[],[f28,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI433_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:49:21 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.61/0.88 % (1554118)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.61/0.88 % (1554134)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3129134743:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.61/0.88 % (1554134)First to succeed.
% 2.61/0.88 % (1554134)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1554118"
% 2.61/0.88 % (1554130)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4013666081:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.61/0.88 % (1554132)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2903643889:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.61/0.88 % (1554127)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3488841550:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.61/0.88 % (1554128)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3991760885:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.61/0.88 % (1554131)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3700134190:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.61/0.88 % (1554126)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1838010017:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.61/0.88 % (1554131)Also succeeded, but the first one will report.
% 2.61/0.88 % (1554130)Also succeeded, but the first one will report.
% 2.61/0.88 % (1554132)Also succeeded, but the first one will report.
% 2.61/0.88 % (1554126)Also succeeded, but the first one will report.
% 2.61/0.88 % (1554128)Also succeeded, but the first one will report.
% 2.61/0.88 % (1554127)Also succeeded, but the first one will report.
% 2.61/0.88 % (1554134)Refutation found. Thanks to Tanya!
% 2.61/0.88 % SZS status Theorem for theBenchmark
% 2.61/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/0.88 % (1554134)------------------------------
% 2.61/0.88 % (1554134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/0.88 % (1554134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.88 % (1554134)CaDiCaL version: 2.1.3
% 2.61/0.88 % (1554134)Termination reason: Refutation
% 2.61/0.88 % (1554134)Time elapsed: 0.019 s
% 2.61/0.88 % (1554134)Peak memory usage: 116 MB
% 2.61/0.88 % (1554134)Instructions burned: 8 (million)
% 2.61/0.88 % (1554134)------------------------------
% 2.61/0.88 % (1554134)------------------------------
% 2.61/0.88 % (1554118)Success in time 0.328 s
% 2.61/0.88 % Vampire exiting
%------------------------------------------------------------------------------