%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI642_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:33:33 AM UTC 2026
% Result : Theorem 8.17s 2.23s
% Output : Refutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 25 unt; 0 typ; 10 def)
% Number of atoms : 66 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 13 |; 0 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 158 ( 34 atm; 88 fun; 31 num; 5 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 : 13 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 15 ( 7 usr; 9 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
m: $real ).
tff(func_def_1,type,
x: $real ).
tff(func_def_2,type,
a: $real ).
tff(func_def_3,type,
b: $real ).
tff(func_def_4,type,
f: $real > $real ).
tff(func_def_12,type,
sF0: $real ).
tff(func_def_13,type,
sF1: $real ).
tff(f1,axiom,
! [X0: $real] :
( $greater(X0,0/1)
=> $less(f($ceiling(X0)),$sum(a,$product($quotient(1/1,$ceiling(X0)),$sum($product(-1/1,a),b)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceiling_property) ).
tff(f2,axiom,
$less(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis) ).
tff(f3,axiom,
$greater(x,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_01) ).
tff(f4,axiom,
$greatereq(m,$product($quotient(1/1,$sum($product(-1/1,a),x)),$sum($product(-1/1,a),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_02) ).
tff(f5,conjecture,
$less(f($ceiling(m)),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion) ).
tff(f6,negated_conjecture,
~ $less(f($ceiling(m)),x),
inference(negated_conjecture,[status(cth)],[f5]) ).
tff(f7,plain,
~ $less(m,$product($quotient(1/1,$sum($product(-1/1,a),x)),$sum($product(-1/1,a),b))),
inference(theory_normalization,[],[f4]) ).
tff(f8,plain,
$less(a,x),
inference(theory_normalization,[],[f3]) ).
tff(f9,plain,
! [X0: $real] :
( $less(0/1,X0)
=> $less(f($ceiling(X0)),$sum(a,$product($quotient(1/1,$ceiling(X0)),$sum($product(-1/1,a),b)))) ),
inference(theory_normalization,[],[f1]) ).
tff(f10,plain,
~ $less(f($ceiling(m)),x),
inference(flattening,[],[f6]) ).
tff(f11,plain,
! [X0: $real] :
( $less(f($ceiling(X0)),$sum(a,$product($quotient(1/1,$ceiling(X0)),$sum($product(-1/1,a),b))))
| ~ $less(0/1,X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f12,plain,
$less(a,b),
inference(cnf_transformation,[],[f2]) ).
tff(f13,plain,
~ $less(m,$product($quotient(1/1,$sum($product(-1/1,a),x)),$sum($product(-1/1,a),b))),
inference(cnf_transformation,[],[f7]) ).
tff(f14,plain,
$less(a,x),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
~ $less(f($ceiling(m)),x),
inference(cnf_transformation,[],[f10]) ).
tff(f16,plain,
! [X0: $real] :
( $less(f($ceiling(X0)),$sum(a,$product($quotient(1/1,$ceiling(X0)),$sum($product(-1/1,a),b))))
| ~ $less(0/1,X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f17,definition,
sF0 = $ceiling(m),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f18,plain,
$ceiling(m) = sF0,
inference(reorient_equations,[],[f17]) ).
tff(f19,definition,
sF1 = f(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f20,plain,
f(sF0) = sF1,
inference(reorient_equations,[],[f19]) ).
tff(f21,plain,
~ $less(sF1,x),
inference(definition_folding,[],[f15,f20,f18]) ).
tff(f22,plain,
~ $less(m,$product($quotient(1/1,$sum($uminus(a),x)),$sum($uminus(a),b))),
inference(evaluation,[],[f13]) ).
tff(f23,plain,
! [X0: $real] :
( $less(f($ceiling(X0)),$sum(a,$product($quotient(1/1,$ceiling(X0)),$sum($uminus(a),b))))
| ~ $less(0/1,X0) ),
inference(evaluation,[],[f16]) ).
tff(f25,definition,
( spl2_1
<=> $less(m,$product($quotient(1/1,$sum($uminus(a),x)),$sum($uminus(a),b))) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f28,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f22,f25]) ).
tff(f30,definition,
( spl2_2
<=> ( $ceiling(m) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f32,plain,
( ( $ceiling(m) = sF0 )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f33,plain,
spl2_2,
inference(avatar_split_clause,[],[f18,f30]) ).
tff(f35,definition,
( spl2_3
<=> $less(a,x) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f38,plain,
spl2_3,
inference(avatar_split_clause,[],[f14,f35]) ).
tff(f40,definition,
( spl2_4
<=> $less(sF1,x) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
tff(f43,plain,
~ spl2_4,
inference(avatar_split_clause,[],[f21,f40]) ).
tff(f45,definition,
( spl2_5
<=> $less(a,b) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
tff(f48,plain,
spl2_5,
inference(avatar_split_clause,[],[f12,f45]) ).
tff(f50,definition,
( spl2_6
<=> ( f(sF0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
tff(f52,plain,
( ( f(sF0) = sF1 )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f53,plain,
spl2_6,
inference(avatar_split_clause,[],[f20,f50]) ).
tff(f54,plain,
( $less(f(sF0),$sum(a,$product($quotient(1/1,sF0),$sum($uminus(a),b))))
| ~ $less(0/1,m)
| ~ spl2_2 ),
inference(superposition,[],[f23,f32]) ).
tff(f55,plain,
( $less(sF1,$sum(a,$product($quotient(1/1,sF0),$sum($uminus(a),b))))
| ~ $less(0/1,m)
| ~ spl2_2
| ~ spl2_6 ),
inference(forward_demodulation,[],[f54,f52]) ).
tff(f57,definition,
( spl2_7
<=> $less(0/1,m) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
tff(f61,definition,
( spl2_8
<=> $less(sF1,$sum(a,$product($quotient(1/1,sF0),$sum($uminus(a),b)))) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
tff(f64,plain,
( ~ spl2_7
| spl2_8
| ~ spl2_2
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f55,f50,f30,f61,f57]) ).
tff(f65,plain,
$false,
inference(avatar_smt_refutation,[],[f64,f53,f48,f43,f38,f33,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI642_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n019.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:54:33 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 6.37/1.99 % (269445)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 6.37/1.99 % (269457)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3211483747:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 6.37/1.99 % (269457)Refutation not found, incomplete strategy
% 6.37/1.99 % (269457)------------------------------
% 6.37/1.99 % (269457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269457)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269457)Termination reason: Refutation not found, incomplete strategy
% 6.37/1.99 % (269457)Time elapsed: 0.028 s
% 6.37/1.99 % (269457)Peak memory usage: 117 MB
% 6.37/1.99 % (269457)Instructions burned: 10 (million)
% 6.37/1.99 % (269452)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1563935151:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 6.37/1.99 % (269455)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2423967465:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 6.37/1.99 % (269456)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1715924156:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 6.37/1.99 % (269458)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2595641155:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 6.37/1.99 % (269453)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3848273562:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 6.37/1.99 % (269454)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4046028950:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 6.37/1.99 % (269456)Instruction limit reached!
% 6.37/1.99 % (269456)------------------------------
% 6.37/1.99 % (269456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269456)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269456)Termination reason: Instruction limit
% 6.37/1.99 % (269456)Termination phase: Saturation
% 6.37/1.99 % (269456)Time elapsed: 0.005 s
% 6.37/1.99 % (269456)Peak memory usage: 88 MB
% 6.37/1.99 % (269456)Instructions burned: 4 (million)
% 6.37/1.99 % (269455)Instruction limit reached!
% 6.37/1.99 % (269455)------------------------------
% 6.37/1.99 % (269455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269455)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269455)Termination reason: Instruction limit
% 6.37/1.99 % (269455)Termination phase: Saturation
% 6.37/1.99 % (269455)Time elapsed: 0.008 s
% 6.37/1.99 % (269455)Peak memory usage: 88 MB
% 6.37/1.99 % (269455)Instructions burned: 7 (million)
% 6.37/1.99 % (269452)Instruction limit reached!
% 6.37/1.99 % (269452)------------------------------
% 6.37/1.99 % (269452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269452)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269452)Termination reason: Instruction limit
% 6.37/1.99 % (269452)Termination phase: Saturation
% 6.37/1.99 % (269452)Time elapsed: 0.044 s
% 6.37/1.99 % (269452)Peak memory usage: 117 MB
% 6.37/1.99 % (269452)Instructions burned: 12 (million)
% 6.37/1.99 % (269458)Instruction limit reached!
% 6.37/1.99 % (269458)------------------------------
% 6.37/1.99 % (269458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269458)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269458)Termination reason: Instruction limit
% 6.37/1.99 % (269458)Termination phase: Saturation
% 6.37/1.99 % (269458)Time elapsed: 0.068 s
% 6.37/1.99 % (269458)Peak memory usage: 117 MB
% 6.37/1.99 % (269458)Instructions burned: 33 (million)
% 6.37/1.99 % (269453)First to succeed.
% 6.37/1.99 % (269453)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-269445"
% 6.37/1.99 % (269457)------------------------------
% 6.37/1.99 % (269457)------------------------------
% 6.37/1.99 % (269468)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=201708129:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.37/1.99 % (269466)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2921580031:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.37/1.99 % (269467)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=4094009527:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.37/1.99 % (269466)Refutation not found, incomplete strategy
% 6.37/1.99 % (269466)------------------------------
% 6.37/1.99 % (269466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269466)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269466)Termination reason: Refutation not found, incomplete strategy
% 6.37/1.99 % (269466)Time elapsed: 0.002 s
% 6.37/1.99 % (269466)Peak memory usage: 88 MB
% 6.37/1.99 % (269468)Instruction limit reached!
% 6.37/1.99 % (269468)------------------------------
% 6.37/1.99 % (269468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269468)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269468)Termination reason: Instruction limit
% 6.37/1.99 % (269468)Termination phase: Saturation
% 6.37/1.99 % (269468)Time elapsed: 0.016 s
% 6.37/1.99 % (269468)Peak memory usage: 90 MB
% 6.37/1.99 % (269468)Instructions burned: 16 (million)
% 6.37/1.99 % (269454)Instruction limit reached!
% 6.37/1.99 % (269454)------------------------------
% 6.37/1.99 % (269454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269454)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269454)Termination reason: Instruction limit
% 6.37/1.99 % (269454)Termination phase: Saturation
% 6.37/1.99 % (269454)Time elapsed: 0.264 s
% 6.37/1.99 % (269454)Peak memory usage: 117 MB
% 6.37/1.99 % (269454)Instructions burned: 201 (million)
% 6.37/1.99 % (269467)Instruction limit reached!
% 6.37/1.99 % (269467)------------------------------
% 6.37/1.99 % (269467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269467)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269467)Termination reason: Instruction limit
% 6.37/1.99 % (269467)Termination phase: Saturation
% 6.37/1.99 % (269467)Time elapsed: 0.033 s
% 6.37/1.99 % (269467)Peak memory usage: 88 MB
% 6.37/1.99 % (269467)Instructions burned: 29 (million)
% 6.37/1.99 % (269469)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=626047605:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.37/1.99 % (269469)Instruction limit reached!
% 6.37/1.99 % (269469)------------------------------
% 6.37/1.99 % (269469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269469)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269469)Termination reason: Instruction limit
% 6.37/1.99 % (269469)Termination phase: Saturation
% 6.37/1.99 % (269469)Time elapsed: 0.029 s
% 6.37/1.99 % (269469)Peak memory usage: 89 MB
% 6.37/1.99 % (269469)Instructions burned: 24 (million)
% 6.37/1.99 % (269470)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1551313202:i=27:canc=cautious:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/27Mi)
% 6.37/1.99 % (269470)Instruction limit reached!
% 6.37/1.99 % (269470)------------------------------
% 6.37/1.99 % (269470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (269470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (269470)CaDiCaL version: 2.1.3
% 6.37/1.99 % (269470)Termination reason: Instruction limit
% 6.37/1.99 % (269470)Termination phase: Saturation
% 6.37/1.99 % (269470)Time elapsed: 0.013 s
% 6.37/1.99 % (269470)Peak memory usage: 89 MB
% 6.37/1.99 % (269470)Instructions burned: 27 (million)
% 6.37/1.99 % (269474)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3446285913:i=85:gtgl=4:rtra=on:gtg=exists_sym_2994 on theBenchmark for (2994ds/85Mi)
% 6.37/1.99 % (269475)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4036538244:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.17/2.23 % (269475)Instruction limit reached!
% 8.17/2.23 % (269475)------------------------------
% 8.17/2.23 % (269475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.23 % (269475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.23 % (269475)CaDiCaL version: 2.1.3
% 8.17/2.23 % (269475)Termination reason: Instruction limit
% 8.17/2.23 % (269475)Termination phase: Saturation
% 8.17/2.23 % (269475)Time elapsed: 0.004 s
% 8.17/2.23 % (269475)Peak memory usage: 88 MB
% 8.17/2.23 % (269475)Instructions burned: 2 (million)
% 8.17/2.23 % (269476)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4025895830:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.17/2.23 % (269476)Refutation not found, incomplete strategy
% 8.17/2.23 % (269476)------------------------------
% 8.17/2.23 % (269476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.23 % (269476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.23 % (269476)CaDiCaL version: 2.1.3
% 8.17/2.23 % (269476)Termination reason: Refutation not found, incomplete strategy
% 8.17/2.23 % (269476)Time elapsed: 0.003 s
% 8.17/2.23 % (269476)Peak memory usage: 89 MB
% 8.17/2.23 % (269476)Instructions burned: 1 (million)
% 8.17/2.23 % (269474)Instruction limit reached!
% 8.17/2.23 % (269474)------------------------------
% 8.17/2.23 % (269474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.23 % (269474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.23 % (269474)CaDiCaL version: 2.1.3
% 8.17/2.23 % (269474)Termination reason: Instruction limit
% 8.17/2.23 % (269474)Termination phase: Saturation
% 8.17/2.23 % (269474)Time elapsed: 0.092 s
% 8.17/2.23 % (269474)Peak memory usage: 89 MB
% 8.17/2.23 % (269474)Instructions burned: 85 (million)
% 8.17/2.23 % (269480)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3023404990:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 8.17/2.23 % (269466)------------------------------
% 8.17/2.23 % (269466)------------------------------
% 8.17/2.23 % (269478)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2525221948:i=4:ep=RST:ins=2:rtra=on_2993 on theBenchmark for (2993ds/4Mi)
% 8.17/2.23 % (269478)Instruction limit reached!
% 8.17/2.23 % (269478)------------------------------
% 8.17/2.23 % (269478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.23 % (269478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.23 % (269478)CaDiCaL version: 2.1.3
% 8.17/2.23 % (269478)Termination reason: Instruction limit
% 8.17/2.23 % (269478)Termination phase: Saturation
% 8.17/2.23 % (269478)Time elapsed: 0.006 s
% 8.17/2.23 % (269478)Peak memory usage: 88 MB
% 8.17/2.23 % (269478)Instructions burned: 4 (million)
% 8.17/2.23 % (269480)Instruction limit reached!
% 8.17/2.23 % (269480)------------------------------
% 8.17/2.23 % (269480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.23 % (269480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.23 % (269480)CaDiCaL version: 2.1.3
% 8.17/2.23 % (269480)Termination reason: Instruction limit
% 8.17/2.23 % (269480)Termination phase: Saturation
% 8.17/2.23 % (269480)Time elapsed: 0.142 s
% 8.17/2.23 % (269480)Peak memory usage: 135 MB
% 8.17/2.23 % (269480)Instructions burned: 66 (million)
% 8.17/2.23 % (269453)Refutation found. Thanks to Tanya!
% 8.17/2.23 % SZS status Theorem for theBenchmark
% 8.17/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 8.17/2.23 % (269453)------------------------------
% 8.17/2.23 % (269453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.23 % (269453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.23 % (269453)CaDiCaL version: 2.1.3
% 8.17/2.23 % (269453)Termination reason: Refutation
% 8.17/2.23 % (269453)Time elapsed: 0.088 s
% 8.17/2.23 % (269453)Peak memory usage: 118 MB
% 8.17/2.23 % (269453)Instructions burned: 48 (million)
% 8.17/2.23 % (269453)------------------------------
% 8.17/2.23 % (269453)------------------------------
% 8.17/2.23 % (269445)Success in time 1.065 s
% 8.17/2.23 % Vampire exiting
%------------------------------------------------------------------------------