%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI738_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:33:46 AM UTC 2026
% Result : Theorem 3.32s 0.89s
% Output : Refutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 15 unt; 0 typ; 9 def)
% Number of atoms : 33 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 3 ~; 0 |; 2 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 43 ( 7 atm; 33 fun; 0 num; 3 var)
% Number of types : 2 ( 0 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 5 usr; 5 con; 0-1 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_11,type,
sK0: $real ).
tff(func_def_12,type,
sF1: $int ).
tff(func_def_13,type,
sF2: $real ).
tff(func_def_14,type,
sF3: $real ).
tff(func_def_15,type,
sF4: $int ).
tff(f1,conjecture,
! [X0: $real] :
( $less($to_int(X0),$to_int($ceiling(X0)))
=> ( $to_real($to_int(X0)) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g7) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( $less($to_int(X0),$to_int($ceiling(X0)))
=> ( $to_real($to_int(X0)) != X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f28,plain,
? [X0: $real] :
( ( $to_real($to_int(X0)) = X0 )
& $less($to_int(X0),$to_int($ceiling(X0))) ),
inference(ennf_transformation,[],[f2]) ).
tff(f29,plain,
( ( sK0 = $to_real($to_int(sK0)) )
& $less($to_int(sK0),$to_int($ceiling(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f28]) ).
tff(f30,plain,
$less($to_int(sK0),$to_int($ceiling(sK0))),
inference(cnf_transformation,[],[f29]) ).
tff(f31,plain,
sK0 = $to_real($to_int(sK0)),
inference(cnf_transformation,[],[f29]) ).
tff(f32,definition,
sF1 = $to_int(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f33,definition,
sF2 = $to_real(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f34,plain,
sK0 = sF2,
inference(definition_folding,[],[f31,f33,f32]) ).
tff(f35,definition,
sF3 = $ceiling(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f36,definition,
sF4 = $to_int(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f37,plain,
$to_int(sF3) = sF4,
inference(reorient_equations,[],[f36]) ).
tff(f38,plain,
$less(sF1,sF4),
inference(definition_folding,[],[f30,f37,f35,f32]) ).
tff(f40,definition,
( spl5_1
<=> ( sF3 = $ceiling(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f43,plain,
spl5_1,
inference(avatar_split_clause,[],[f35,f40]) ).
tff(f45,definition,
( spl5_2
<=> ( $to_int(sF3) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
tff(f48,plain,
spl5_2,
inference(avatar_split_clause,[],[f37,f45]) ).
tff(f50,definition,
( spl5_3
<=> ( sF2 = $to_real(sF1) ) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
tff(f53,plain,
spl5_3,
inference(avatar_split_clause,[],[f33,f50]) ).
tff(f55,definition,
( spl5_4
<=> ( sK0 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
tff(f58,plain,
spl5_4,
inference(avatar_split_clause,[],[f34,f55]) ).
tff(f60,definition,
( spl5_5
<=> $less(sF1,sF4) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
tff(f63,plain,
spl5_5,
inference(avatar_split_clause,[],[f38,f60]) ).
tff(f69,plain,
$false,
inference(avatar_smt_refutation,[],[f63,f58,f53,f48,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI738_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 21:01:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 3.32/0.89 % (3758032)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.32/0.89 % (3758045)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3980354086:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.32/0.89 % (3758049)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1767369951:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.32/0.89 % (3758050)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1105840859:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.32/0.89 % (3758051)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=395881879:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.32/0.89 % (3758048)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=822319089:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.32/0.89 % (3758047)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=583348895:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.32/0.89 % (3758049)Instruction limit reached!
% 3.32/0.89 % (3758049)------------------------------
% 3.32/0.89 % (3758049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758049)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758049)Termination reason: Instruction limit
% 3.32/0.89 % (3758049)Termination phase: Saturation
% 3.32/0.89 % (3758049)Time elapsed: 0.004 s
% 3.32/0.89 % (3758049)Peak memory usage: 88 MB
% 3.32/0.89 % (3758049)Instructions burned: 6 (million)
% 3.32/0.89 % (3758048)Instruction limit reached!
% 3.32/0.89 % (3758048)------------------------------
% 3.32/0.89 % (3758048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758048)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758048)Termination reason: Instruction limit
% 3.32/0.89 % (3758048)Termination phase: Saturation
% 3.32/0.89 % (3758048)Time elapsed: 0.005 s
% 3.32/0.89 % (3758048)Peak memory usage: 88 MB
% 3.32/0.89 % (3758048)Instructions burned: 8 (million)
% 3.32/0.89 % (3758046)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3427596855:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.32/0.89 % (3758045)Instruction limit reached!
% 3.32/0.89 % (3758045)------------------------------
% 3.32/0.89 % (3758045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758045)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758045)Termination reason: Instruction limit
% 3.32/0.89 % (3758045)Termination phase: Saturation
% 3.32/0.89 % (3758045)Time elapsed: 0.026 s
% 3.32/0.89 % (3758045)Peak memory usage: 115 MB
% 3.32/0.89 % (3758045)Instructions burned: 13 (million)
% 3.32/0.89 % (3758051)First to succeed.
% 3.32/0.89 % (3758051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3758032"
% 3.32/0.89 % (3758050)Instruction limit reached!
% 3.32/0.89 % (3758050)------------------------------
% 3.32/0.89 % (3758050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758050)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758050)Termination reason: Instruction limit
% 3.32/0.89 % (3758050)Termination phase: Saturation
% 3.32/0.89 % (3758050)Time elapsed: 0.047 s
% 3.32/0.89 % (3758050)Peak memory usage: 115 MB
% 3.32/0.89 % (3758050)Instructions burned: 47 (million)
% 3.32/0.89 % (3758046)Also succeeded, but the first one will report.
% 3.32/0.89 % (3758047)Instruction limit reached!
% 3.32/0.89 % (3758047)------------------------------
% 3.32/0.89 % (3758047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758047)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758047)Termination reason: Instruction limit
% 3.32/0.89 % (3758047)Termination phase: Saturation
% 3.32/0.89 % (3758047)Time elapsed: 0.108 s
% 3.32/0.89 % (3758047)Peak memory usage: 113 MB
% 3.32/0.89 % (3758047)Instructions burned: 202 (million)
% 3.32/0.89 % (3758065)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=469460094:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.32/0.89 % (3758065)Refutation not found, incomplete strategy
% 3.32/0.89 % (3758065)------------------------------
% 3.32/0.89 % (3758065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758065)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758065)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.89 % (3758065)Time elapsed: 0.001 s
% 3.32/0.89 % (3758065)Peak memory usage: 88 MB
% 3.32/0.89 % (3758066)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=794340985:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.32/0.89 % (3758066)Instruction limit reached!
% 3.32/0.89 % (3758066)------------------------------
% 3.32/0.89 % (3758066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758066)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758066)Termination reason: Instruction limit
% 3.32/0.89 % (3758066)Termination phase: Saturation
% 3.32/0.89 % (3758066)Time elapsed: 0.009 s
% 3.32/0.89 % (3758066)Peak memory usage: 88 MB
% 3.32/0.89 % (3758066)Instructions burned: 30 (million)
% 3.32/0.89 % (3758068)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4206091297:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.32/0.89 % (3758068)Refutation not found, incomplete strategy
% 3.32/0.89 % (3758068)------------------------------
% 3.32/0.89 % (3758068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758068)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758068)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.89 % (3758068)Time elapsed: 0.002 s
% 3.32/0.89 % (3758068)Peak memory usage: 90 MB
% 3.32/0.89 % (3758068)Instructions burned: 2 (million)
% 3.32/0.89 % (3758069)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3469237654:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.32/0.89 % (3758069)Instruction limit reached!
% 3.32/0.89 % (3758069)------------------------------
% 3.32/0.89 % (3758069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758069)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758069)Termination reason: Instruction limit
% 3.32/0.89 % (3758069)Termination phase: Saturation
% 3.32/0.89 % (3758069)Time elapsed: 0.010 s
% 3.32/0.89 % (3758069)Peak memory usage: 89 MB
% 3.32/0.89 % (3758069)Instructions burned: 25 (million)
% 3.32/0.89 % (3758051)Refutation found. Thanks to Tanya!
% 3.32/0.89 % SZS status Theorem for theBenchmark
% 3.32/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 3.32/0.89 % (3758051)------------------------------
% 3.32/0.89 % (3758051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/0.89 % (3758051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.89 % (3758051)CaDiCaL version: 2.1.3
% 3.32/0.89 % (3758051)Termination reason: Refutation
% 3.32/0.89 % (3758051)Time elapsed: 0.028 s
% 3.32/0.89 % (3758051)Peak memory usage: 115 MB
% 3.32/0.89 % (3758051)Instructions burned: 12 (million)
% 3.32/0.89 % (3758051)------------------------------
% 3.32/0.89 % (3758051)------------------------------
% 3.32/0.89 % (3758032)Success in time 0.441 s
% 3.32/0.89 % Vampire exiting
%------------------------------------------------------------------------------