%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI449_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 : n003.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 09:33:10 AM UTC 2026
% Result : Theorem 2.61s 1.12s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 4 def)
% Number of atoms : 23 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 0 |; 2 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 32 ( 0 atm; 8 fun; 21 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 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(func_def_9,type,
sF1: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $product(29/4,X0) = 29/1 )
=> ( X0 = 4/1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_14) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $product(29/4,X0) = 29/1 )
=> ( X0 = 4/1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
? [X0: $real] :
( ( 4/1 != X0 )
& ( $product(29/4,X0) = 29/1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
( ( 4/1 != sK0 )
& ( 29/1 = $product(29/4,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
tff(f22,plain,
29/1 = $product(29/4,sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
4/1 != sK0,
inference(cnf_transformation,[],[f21]) ).
tff(f25,definition,
sF1 = $product(29/4,sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f26,plain,
$product(29/4,sK0) = sF1,
inference(reorient_equations,[],[f25]) ).
tff(f27,plain,
29/1 = sF1,
inference(definition_folding,[],[f22,f26]) ).
tff(f29,definition,
( spl2_1
<=> ( 29/1 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f32,plain,
spl2_1,
inference(avatar_split_clause,[],[f27,f29]) ).
tff(f34,definition,
( spl2_2
<=> ( $product(29/4,sK0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f37,plain,
spl2_2,
inference(avatar_split_clause,[],[f26,f34]) ).
tff(f39,definition,
( spl2_3
<=> ( 4/1 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f42,plain,
~ spl2_3,
inference(avatar_split_clause,[],[f23,f39]) ).
tff(f43,plain,
$false,
inference(avatar_smt_refutation,[],[f42,f37,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI449_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n003.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 20:52:13 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 2.61/1.12 % (1995379)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.61/1.12 % (1995390)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3263810926:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.61/1.12 % (1995390)First to succeed.
% 2.61/1.12 % (1995390)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1995379"
% 2.61/1.12 % (1995389)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3870343706:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.61/1.12 % (1995387)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1692974609:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.61/1.12 % (1995388)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=154783289:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.61/1.12 % (1995385)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4130314947:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.61/1.12 % (1995384)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4259575053:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.61/1.12 % (1995386)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3427920825:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.61/1.12 % (1995388)Instruction limit reached!
% 2.61/1.12 % (1995388)------------------------------
% 2.61/1.12 % (1995388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.12 % (1995388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.12 % (1995388)CaDiCaL version: 2.1.3
% 2.61/1.12 % (1995388)Termination reason: Instruction limit
% 2.61/1.12 % (1995388)Termination phase: Saturation
% 2.61/1.12 % (1995388)Time elapsed: 0.003 s
% 2.61/1.12 % (1995388)Peak memory usage: 88 MB
% 2.61/1.12 % (1995388)Instructions burned: 4 (million)
% 2.61/1.12 % (1995387)Instruction limit reached!
% 2.61/1.12 % (1995387)------------------------------
% 2.61/1.12 % (1995387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.12 % (1995387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.12 % (1995387)CaDiCaL version: 2.1.3
% 2.61/1.12 % (1995387)Termination reason: Instruction limit
% 2.61/1.12 % (1995387)Termination phase: Saturation
% 2.61/1.12 % (1995387)Time elapsed: 0.005 s
% 2.61/1.12 % (1995387)Peak memory usage: 88 MB
% 2.61/1.12 % (1995387)Instructions burned: 8 (million)
% 2.61/1.12 % (1995389)Also succeeded, but the first one will report.
% 2.61/1.12 % (1995384)Also succeeded, but the first one will report.
% 2.61/1.12 % (1995385)Also succeeded, but the first one will report.
% 2.61/1.12 % (1995386)Also succeeded, but the first one will report.
% 2.61/1.12 % (1995390)Refutation found. Thanks to Tanya!
% 2.61/1.12 % SZS status Theorem for theBenchmark
% 2.61/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.12 % (1995390)------------------------------
% 2.61/1.12 % (1995390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.12 % (1995390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.12 % (1995390)CaDiCaL version: 2.1.3
% 2.61/1.12 % (1995390)Termination reason: Refutation
% 2.61/1.12 % (1995390)Time elapsed: 0.020 s
% 2.61/1.12 % (1995390)Peak memory usage: 116 MB
% 2.61/1.12 % (1995390)Instructions burned: 9 (million)
% 2.61/1.12 % (1995390)------------------------------
% 2.61/1.12 % (1995390)------------------------------
% 2.61/1.12 % (1995379)Success in time 0.295 s
% 2.61/1.12 % Vampire exiting
%------------------------------------------------------------------------------