%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI686_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 : n018.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 09:33:39 AM UTC 2026
% Result : Theorem 2.93s 1.13s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 45
% Syntax : Number of formulae : 85 ( 63 unt; 0 typ; 43 def)
% Number of atoms : 107 ( 62 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 5 ~; 0 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 282 ( 0 atm; 218 fun; 64 num; 0 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 : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 31 ( 22 usr; 28 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_15,type,
sF0: $int ).
tff(func_def_16,type,
sF1: $int ).
tff(func_def_17,type,
sF2: $int ).
tff(func_def_18,type,
sF3: $int ).
tff(func_def_19,type,
sF4: $int ).
tff(func_def_20,type,
sF5: $int ).
tff(func_def_21,type,
sF6: $int ).
tff(func_def_22,type,
sF7: $int ).
tff(func_def_23,type,
sF8: $int ).
tff(func_def_24,type,
sF9: $int ).
tff(func_def_25,type,
sF10: $int ).
tff(func_def_26,type,
sF11: $int ).
tff(func_def_27,type,
sF12: $int ).
tff(func_def_28,type,
sF13: $int ).
tff(func_def_29,type,
sF14: $int ).
tff(func_def_30,type,
sF15: $int ).
tff(func_def_31,type,
sF16: $int ).
tff(func_def_32,type,
sF17: $int ).
tff(func_def_33,type,
sF18: $int ).
tff(func_def_34,type,
sF19: $int ).
tff(func_def_35,type,
sF20: $int ).
tff(f1,axiom,
$product($product(5,a),a) = $product(2,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
tff(f3,conjecture,
$sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f4,negated_conjecture,
( ( ~ $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))) ) = 0 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
0 != $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))),
inference(flattening,[],[f4]) ).
tff(f6,plain,
0 != $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))),
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
$product($product(5,a),a) = $product(2,a),
inference(cnf_transformation,[],[f1]) ).
tff(f9,definition,
sF0 = $product(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f10,plain,
$product(a,a) = sF0,
inference(reorient_equations,[],[f9]) ).
tff(f11,definition,
sF1 = $product(sF0,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f12,definition,
sF2 = $product(sF1,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f13,definition,
sF3 = $product(sF2,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f14,plain,
$product(sF2,a) = sF3,
inference(reorient_equations,[],[f13]) ).
tff(f15,definition,
sF4 = $product(sF3,a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f16,definition,
sF5 = $product(sF4,a),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f17,definition,
sF6 = $product(sF5,a),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f18,definition,
sF7 = $product(2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f19,definition,
sF8 = $product(612,a),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f20,plain,
$product(612,a) = sF8,
inference(reorient_equations,[],[f19]) ).
tff(f21,definition,
sF9 = $product(-1,sF0),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f22,plain,
$product(-1,sF0) = sF9,
inference(reorient_equations,[],[f21]) ).
tff(f23,definition,
sF10 = $sum(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f24,plain,
$sum(sF8,sF9) = sF10,
inference(reorient_equations,[],[f23]) ).
tff(f25,definition,
sF11 = $product(-2,sF1),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f26,plain,
$product(-2,sF1) = sF11,
inference(reorient_equations,[],[f25]) ).
tff(f27,definition,
sF12 = $sum(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f28,definition,
sF13 = $product(2,sF3),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f29,plain,
$product(2,sF3) = sF13,
inference(reorient_equations,[],[f28]) ).
tff(f30,definition,
sF14 = $sum(sF12,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
tff(f31,plain,
$sum(sF12,sF13) = sF14,
inference(reorient_equations,[],[f30]) ).
tff(f32,definition,
sF15 = $product(-2,sF4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
tff(f33,plain,
$product(-2,sF4) = sF15,
inference(reorient_equations,[],[f32]) ).
tff(f34,definition,
sF16 = $sum(sF14,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f35,definition,
sF17 = $product(-2,sF5),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
tff(f36,definition,
sF18 = $sum(sF16,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
tff(f37,definition,
sF19 = $product(-1,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
tff(f38,plain,
$product(-1,sF18) = sF19,
inference(reorient_equations,[],[f37]) ).
tff(f39,definition,
sF20 = $sum(sF7,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
tff(f40,plain,
0 != sF20,
inference(definition_folding,[],[f6,f39,f38,f36,f35,f16,f15,f14,f12,f11,f10,f34,f33,f15,f14,f12,f11,f10,f31,f29,f14,f12,f11,f10,f27,f26,f11,f10,f24,f22,f10,f20,f18,f17,f16,f15,f14,f12,f11,f10]) ).
tff(f42,plain,
sF9 = $uminus(sF0),
inference(evaluation,[],[f22]) ).
tff(f43,plain,
$uminus(sF18) = sF19,
inference(evaluation,[],[f38]) ).
tff(f45,definition,
( spl21_1
<=> ( sF5 = $product(sF4,a) ) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
tff(f48,plain,
spl21_1,
inference(avatar_split_clause,[],[f16,f45]) ).
tff(f50,definition,
( spl21_2
<=> ( sF1 = $product(sF0,a) ) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
tff(f53,plain,
spl21_2,
inference(avatar_split_clause,[],[f11,f50]) ).
tff(f60,definition,
( spl21_4
<=> ( sF9 = $uminus(sF0) ) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
tff(f63,plain,
spl21_4,
inference(avatar_split_clause,[],[f42,f60]) ).
tff(f65,definition,
( spl21_5
<=> ( sF16 = $sum(sF14,sF15) ) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
tff(f68,plain,
spl21_5,
inference(avatar_split_clause,[],[f34,f65]) ).
tff(f70,definition,
( spl21_6
<=> ( $sum(sF12,sF13) = sF14 ) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
tff(f73,plain,
spl21_6,
inference(avatar_split_clause,[],[f31,f70]) ).
tff(f75,definition,
( spl21_7
<=> ( $product(2,sF3) = sF13 ) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
tff(f78,plain,
spl21_7,
inference(avatar_split_clause,[],[f29,f75]) ).
tff(f80,definition,
( spl21_8
<=> ( sF4 = $product(sF3,a) ) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
tff(f83,plain,
spl21_8,
inference(avatar_split_clause,[],[f15,f80]) ).
tff(f85,definition,
( spl21_9
<=> ( sF6 = $product(sF5,a) ) ),
introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).
tff(f88,plain,
spl21_9,
inference(avatar_split_clause,[],[f17,f85]) ).
tff(f90,definition,
( spl21_10
<=> ( $product(-2,sF4) = sF15 ) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
tff(f93,plain,
spl21_10,
inference(avatar_split_clause,[],[f33,f90]) ).
tff(f95,definition,
( spl21_11
<=> ( sF12 = $sum(sF10,sF11) ) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
tff(f98,plain,
spl21_11,
inference(avatar_split_clause,[],[f27,f95]) ).
tff(f105,definition,
( spl21_13
<=> ( sF7 = $product(2,sF6) ) ),
introduced(definition,[new_symbols(definition,[spl21_13])],[avatar_definition]) ).
tff(f108,plain,
spl21_13,
inference(avatar_split_clause,[],[f18,f105]) ).
tff(f110,definition,
( spl21_14
<=> ( $product($product(5,a),a) = $product(2,a) ) ),
introduced(definition,[new_symbols(definition,[spl21_14])],[avatar_definition]) ).
tff(f113,plain,
spl21_14,
inference(avatar_split_clause,[],[f7,f110]) ).
tff(f115,definition,
( spl21_15
<=> ( $uminus(sF18) = sF19 ) ),
introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition]) ).
tff(f118,plain,
spl21_15,
inference(avatar_split_clause,[],[f43,f115]) ).
tff(f120,definition,
( spl21_16
<=> ( sF17 = $product(-2,sF5) ) ),
introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition]) ).
tff(f123,plain,
spl21_16,
inference(avatar_split_clause,[],[f35,f120]) ).
tff(f125,definition,
( spl21_17
<=> ( $sum(sF8,sF9) = sF10 ) ),
introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).
tff(f128,plain,
spl21_17,
inference(avatar_split_clause,[],[f24,f125]) ).
tff(f130,definition,
( spl21_18
<=> ( 0 = sF20 ) ),
introduced(definition,[new_symbols(definition,[spl21_18])],[avatar_definition]) ).
tff(f133,plain,
~ spl21_18,
inference(avatar_split_clause,[],[f40,f130]) ).
tff(f135,definition,
( spl21_19
<=> ( $product(-2,sF1) = sF11 ) ),
introduced(definition,[new_symbols(definition,[spl21_19])],[avatar_definition]) ).
tff(f138,plain,
spl21_19,
inference(avatar_split_clause,[],[f26,f135]) ).
tff(f140,definition,
( spl21_20
<=> ( $product(a,a) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
tff(f143,plain,
spl21_20,
inference(avatar_split_clause,[],[f10,f140]) ).
tff(f145,definition,
( spl21_21
<=> ( $product(612,a) = sF8 ) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
tff(f148,plain,
spl21_21,
inference(avatar_split_clause,[],[f20,f145]) ).
tff(f150,definition,
( spl21_22
<=> ( $product(sF2,a) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl21_22])],[avatar_definition]) ).
tff(f153,plain,
spl21_22,
inference(avatar_split_clause,[],[f14,f150]) ).
tff(f155,definition,
( spl21_23
<=> ( sF18 = $sum(sF16,sF17) ) ),
introduced(definition,[new_symbols(definition,[spl21_23])],[avatar_definition]) ).
tff(f158,plain,
spl21_23,
inference(avatar_split_clause,[],[f36,f155]) ).
tff(f160,definition,
( spl21_24
<=> ( sF20 = $sum(sF7,sF19) ) ),
introduced(definition,[new_symbols(definition,[spl21_24])],[avatar_definition]) ).
tff(f163,plain,
spl21_24,
inference(avatar_split_clause,[],[f39,f160]) ).
tff(f164,plain,
$false,
inference(avatar_smt_refutation,[],[f163,f158,f153,f148,f143,f138,f133,f128,f123,f118,f113,f108,f98,f93,f88,f83,f78,f73,f68,f63,f53,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI686_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n018.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 20:59:51 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 2.93/1.13 % (3776346)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.93/1.13 % (3776355)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4183085705:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.93/1.13 % (3776355)Instruction limit reached!
% 2.93/1.13 % (3776355)------------------------------
% 2.93/1.13 % (3776355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776355)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776355)Termination reason: Instruction limit
% 2.93/1.13 % (3776355)Termination phase: Saturation
% 2.93/1.13 % (3776355)Time elapsed: 0.002 s
% 2.93/1.13 % (3776355)Peak memory usage: 88 MB
% 2.93/1.13 % (3776355)Instructions burned: 5 (million)
% 2.93/1.13 % (3776352)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=152130277:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.93/1.13 % (3776354)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1198644508:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.93/1.13 % (3776351)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2073127976:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.93/1.13 % (3776353)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2300502835:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.93/1.13 % (3776354)Instruction limit reached!
% 2.93/1.13 % (3776354)------------------------------
% 2.93/1.13 % (3776354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776354)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776354)Termination reason: Instruction limit
% 2.93/1.13 % (3776354)Termination phase: Saturation
% 2.93/1.13 % (3776354)Time elapsed: 0.004 s
% 2.93/1.13 % (3776354)Peak memory usage: 88 MB
% 2.93/1.13 % (3776354)Instructions burned: 7 (million)
% 2.93/1.13 % (3776356)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2582256025:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.93/1.13 % (3776357)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3913070445:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.93/1.13 % (3776351)Instruction limit reached!
% 2.93/1.13 % (3776351)------------------------------
% 2.93/1.13 % (3776351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776351)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776351)Termination reason: Instruction limit
% 2.93/1.13 % (3776351)Termination phase: Saturation
% 2.93/1.13 % (3776351)Time elapsed: 0.030 s
% 2.93/1.13 % (3776351)Peak memory usage: 116 MB
% 2.93/1.13 % (3776351)Instructions burned: 13 (million)
% 2.93/1.13 % (3776352)First to succeed.
% 2.93/1.13 % (3776356)Also succeeded, but the first one will report.
% 2.93/1.13 % (3776352)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3776346"
% 2.93/1.13 % (3776359)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=932722503:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.93/1.13 % (3776359)Refutation not found, incomplete strategy
% 2.93/1.13 % (3776359)------------------------------
% 2.93/1.13 % (3776359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776359)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776359)Termination reason: Refutation not found, incomplete strategy
% 2.93/1.13 % (3776359)Time elapsed: 0.001 s
% 2.93/1.13 % (3776359)Peak memory usage: 88 MB
% 2.93/1.13 % (3776359)Instructions burned: 1 (million)
% 2.93/1.13 % (3776357)Also succeeded, but the first one will report.
% 2.93/1.13 % (3776353)Instruction limit reached!
% 2.93/1.13 % (3776353)------------------------------
% 2.93/1.13 % (3776353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776353)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776353)Termination reason: Instruction limit
% 2.93/1.13 % (3776353)Termination phase: Saturation
% 2.93/1.13 % (3776353)Time elapsed: 0.135 s
% 2.93/1.13 % (3776353)Peak memory usage: 114 MB
% 2.93/1.13 % (3776353)Instructions burned: 201 (million)
% 2.93/1.13 % (3776366)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=855664944:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.93/1.13 % (3776366)Instruction limit reached!
% 2.93/1.13 % (3776366)------------------------------
% 2.93/1.13 % (3776366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776366)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776366)Termination reason: Instruction limit
% 2.93/1.13 % (3776366)Termination phase: Saturation
% 2.93/1.13 % (3776366)Time elapsed: 0.014 s
% 2.93/1.13 % (3776366)Peak memory usage: 88 MB
% 2.93/1.13 % (3776366)Instructions burned: 29 (million)
% 2.93/1.13 % (3776367)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=637635233:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.93/1.13 % (3776367)Instruction limit reached!
% 2.93/1.13 % (3776367)------------------------------
% 2.93/1.13 % (3776367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776367)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776367)Termination reason: Instruction limit
% 2.93/1.13 % (3776367)Termination phase: Saturation
% 2.93/1.13 % (3776367)Time elapsed: 0.010 s
% 2.93/1.13 % (3776367)Peak memory usage: 90 MB
% 2.93/1.13 % (3776367)Instructions burned: 18 (million)
% 2.93/1.13 % (3776359)------------------------------
% 2.93/1.13 % (3776359)------------------------------
% 2.93/1.13 % (3776370)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2275040516:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 2.93/1.13 % (3776370)Instruction limit reached!
% 2.93/1.13 % (3776370)------------------------------
% 2.93/1.13 % (3776370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776370)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776370)Termination reason: Instruction limit
% 2.93/1.13 % (3776370)Termination phase: Saturation
% 2.93/1.13 % (3776370)Time elapsed: 0.016 s
% 2.93/1.13 % (3776370)Peak memory usage: 89 MB
% 2.93/1.13 % (3776370)Instructions burned: 24 (million)
% 2.93/1.13 % (3776374)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=245511659:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 2.93/1.13 % (3776374)Instruction limit reached!
% 2.93/1.13 % (3776374)------------------------------
% 2.93/1.13 % (3776374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.13 % (3776374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.13 % (3776374)CaDiCaL version: 2.1.3
% 2.93/1.13 % (3776374)Termination reason: Instruction limit
% 2.93/1.13 % (3776374)Termination phase: Saturation
% 2.93/1.13 % (3776374)Time elapsed: 0.002 s
% 2.93/1.13 % (3776374)Peak memory usage: 88 MB
% 2.93/1.13 % (3776374)Instructions burned: 6 (million)
% 2.93/1.13 % (3776371)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=1823523969:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 2.93/1.13 % (3776352)Refutation found. Thanks to Tanya!
% 2.93/1.13 % SZS status Theorem for theBenchmark
% 2.93/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.32 % (3776352)------------------------------
% 3.85/1.32 % (3776352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.32 % (3776352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.32 % (3776352)CaDiCaL version: 2.1.3
% 3.85/1.32 % (3776352)Termination reason: Refutation
% 3.85/1.32 % (3776352)Time elapsed: 0.041 s
% 3.85/1.32 % (3776352)Peak memory usage: 117 MB
% 3.85/1.32 % (3776352)Instructions burned: 23 (million)
% 3.85/1.32 % (3776352)------------------------------
% 3.85/1.32 % (3776352)------------------------------
% 3.85/1.32 % (3776346)Success in time 0.453 s
% 3.85/1.32 % Vampire exiting
%------------------------------------------------------------------------------