%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI715_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:33:43 AM UTC 2026
% Result : Theorem 2.70s 1.16s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 18 unt; 0 typ; 8 def)
% Number of atoms : 26 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 47 ( 0 atm; 30 fun; 14 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 : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $real ).
tff(func_def_7,type,
sF1: $real ).
tff(func_def_8,type,
sF2: $real ).
tff(func_def_9,type,
sF3: $real ).
tff(func_def_10,type,
sF4: $real ).
tff(f1,conjecture,
! [X0: $real] : ( $floor($sum(X0,3/10)) != $sum($floor(X0),3/10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : ( $floor($sum(X0,3/10)) != $sum($floor(X0),3/10) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f16,plain,
? [X0: $real] : ( $floor($sum(X0,3/10)) = $sum($floor(X0),3/10) ),
inference(ennf_transformation,[],[f2]) ).
tff(f17,plain,
$floor($sum(sK0,3/10)) = $sum($floor(sK0),3/10),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
$floor($sum(sK0,3/10)) = $sum($floor(sK0),3/10),
inference(cnf_transformation,[],[f17]) ).
tff(f19,definition,
sF1 = $sum(sK0,3/10),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f20,definition,
sF2 = $floor(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f21,plain,
$floor(sF1) = sF2,
inference(reorient_equations,[],[f20]) ).
tff(f22,definition,
sF3 = $floor(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f23,plain,
$floor(sK0) = sF3,
inference(reorient_equations,[],[f22]) ).
tff(f24,definition,
sF4 = $sum(sF3,3/10),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f25,plain,
$sum(sF3,3/10) = sF4,
inference(reorient_equations,[],[f24]) ).
tff(f26,plain,
sF4 = sF2,
inference(definition_folding,[],[f18,f25,f23,f21,f19]) ).
tff(f28,definition,
( spl5_1
<=> ( sF4 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f31,plain,
spl5_1,
inference(avatar_split_clause,[],[f26,f28]) ).
tff(f38,definition,
( spl5_3
<=> ( $sum(sF3,3/10) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
tff(f41,plain,
spl5_3,
inference(avatar_split_clause,[],[f25,f38]) ).
tff(f43,definition,
( spl5_4
<=> ( $floor(sF1) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
tff(f46,plain,
spl5_4,
inference(avatar_split_clause,[],[f21,f43]) ).
tff(f48,definition,
( spl5_5
<=> ( $floor(sK0) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
tff(f51,plain,
spl5_5,
inference(avatar_split_clause,[],[f23,f48]) ).
tff(f52,plain,
$false,
inference(avatar_smt_refutation,[],[f51,f46,f41,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI715_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:01:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 2.70/1.16 % (2328437)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.70/1.16 % (2328448)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1673423446:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.70/1.16 % (2328448)First to succeed.
% 2.70/1.16 % (2328448)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2328437"
% 2.70/1.16 % (2328446)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3781720129:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.70/1.16 % (2328447)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2018152916:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.70/1.16 % (2328445)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2621956584:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.70/1.16 % (2328442)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3633685531:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.70/1.16 % (2328443)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3299691830:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.70/1.16 % (2328444)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3303158845:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.70/1.16 % (2328446)Instruction limit reached!
% 2.70/1.16 % (2328446)------------------------------
% 2.70/1.16 % (2328446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.16 % (2328446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.16 % (2328446)CaDiCaL version: 2.1.3
% 2.70/1.16 % (2328446)Termination reason: Instruction limit
% 2.70/1.16 % (2328446)Termination phase: Saturation
% 2.70/1.16 % (2328446)Time elapsed: 0.003 s
% 2.70/1.16 % (2328446)Peak memory usage: 88 MB
% 2.70/1.16 % (2328446)Instructions burned: 4 (million)
% 2.70/1.16 % (2328445)Instruction limit reached!
% 2.70/1.16 % (2328445)------------------------------
% 2.70/1.16 % (2328445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.16 % (2328445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.16 % (2328445)CaDiCaL version: 2.1.3
% 2.70/1.16 % (2328445)Termination reason: Instruction limit
% 2.70/1.16 % (2328445)Termination phase: Saturation
% 2.70/1.16 % (2328445)Time elapsed: 0.005 s
% 2.70/1.16 % (2328445)Peak memory usage: 88 MB
% 2.70/1.16 % (2328445)Instructions burned: 9 (million)
% 2.70/1.16 % (2328447)Also succeeded, but the first one will report.
% 2.70/1.16 % (2328442)Also succeeded, but the first one will report.
% 2.70/1.16 % (2328443)Also succeeded, but the first one will report.
% 2.70/1.16 % (2328448)Refutation found. Thanks to Tanya!
% 2.70/1.16 % SZS status Theorem for theBenchmark
% 2.70/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.16 % (2328448)------------------------------
% 2.70/1.16 % (2328448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.16 % (2328448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.16 % (2328448)CaDiCaL version: 2.1.3
% 2.70/1.16 % (2328448)Termination reason: Refutation
% 2.70/1.16 % (2328448)Time elapsed: 0.020 s
% 2.70/1.16 % (2328448)Peak memory usage: 116 MB
% 2.70/1.16 % (2328448)Instructions burned: 11 (million)
% 2.70/1.16 % (2328448)------------------------------
% 2.70/1.16 % (2328448)------------------------------
% 2.70/1.16 % (2328437)Success in time 0.29 s
% 2.70/1.16 % Vampire exiting
%------------------------------------------------------------------------------