%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI617_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:33:29 AM UTC 2026
% Result : Theorem 3.51s 1.08s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 76 ( 14 unt; 0 typ; 17 def)
% Number of atoms : 222 ( 66 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 258 ( 112 ~; 91 |; 36 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 162 ( 74 atm; 39 fun; 15 num; 34 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 : 19 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 34 ( 31 !; 3 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
g: $int > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sF1: $int ).
tff(func_def_8,type,
sF2: $int ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( ( $lesseq(f(X0),$uminus(X0))
| $lesseq(f(X0),X0) )
& $lesseq($uminus(X0),f(X0))
& $lesseq(X0,f(X0)) )
& ! [X0: $int] :
( ( ( g(X0) = $uminus(X0) )
| ( g(X0) = X0 ) )
& $lesseq(0,g(X0)) ) )
=> ! [X0: $int] : ( f(X0) = g(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absolute_value_defs) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( ( $lesseq(f(X0),$uminus(X0))
| $lesseq(f(X0),X0) )
& $lesseq($uminus(X0),f(X0))
& $lesseq(X0,f(X0)) )
& ! [X0: $int] :
( ( ( g(X0) = $uminus(X0) )
| ( g(X0) = X0 ) )
& $lesseq(0,g(X0)) ) )
=> ! [X0: $int] : ( f(X0) = g(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int] :
( ~ $less(f(X0),$uminus(X0))
& ( ~ $less(X0,f(X0))
| ~ $less($uminus(X0),f(X0)) )
& ~ $less(f(X0),X0) )
& ! [X0: $int] :
( ( ( g(X0) = $uminus(X0) )
| ( g(X0) = X0 ) )
& ~ $less(g(X0),0) ) )
=> ! [X0: $int] : ( f(X0) = g(X0) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(definition,[],[tha_minus_minus_x]) ).
tff(f16,plain,
~ ( ( ! [X1: $int] :
( ~ $less(g(X1),0)
& ( ( $uminus(X1) = g(X1) )
| ( g(X1) = X1 ) ) )
& ! [X0: $int] :
( ~ $less(f(X0),$uminus(X0))
& ( ~ $less(X0,f(X0))
| ~ $less($uminus(X0),f(X0)) )
& ~ $less(f(X0),X0) ) )
=> ! [X2: $int] : ( g(X2) = f(X2) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
( ? [X2: $int] : ( g(X2) != f(X2) )
& ! [X1: $int] :
( ~ $less(g(X1),0)
& ( ( $uminus(X1) = g(X1) )
| ( g(X1) = X1 ) ) )
& ! [X0: $int] :
( ~ $less(f(X0),$uminus(X0))
& ( ~ $less(X0,f(X0))
| ~ $less($uminus(X0),f(X0)) )
& ~ $less(f(X0),X0) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
( ? [X2: $int] : ( g(X2) != f(X2) )
& ! [X1: $int] :
( ~ $less(g(X1),0)
& ( ( $uminus(X1) = g(X1) )
| ( g(X1) = X1 ) ) )
& ! [X0: $int] :
( ~ $less(f(X0),$uminus(X0))
& ( ~ $less(X0,f(X0))
| ~ $less($uminus(X0),f(X0)) )
& ~ $less(f(X0),X0) ) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
( ? [X0: $int] : ( f(X0) != g(X0) )
& ! [X1: $int] :
( ~ $less(g(X1),0)
& ( ( $uminus(X1) = g(X1) )
| ( g(X1) = X1 ) ) )
& ! [X2: $int] :
( ~ $less(f(X2),$uminus(X2))
& ( ~ $less(X2,f(X2))
| ~ $less($uminus(X2),f(X2)) )
& ~ $less(f(X2),X2) ) ),
inference(rectify,[],[f18]) ).
tff(f20,plain,
( ( g(sK0) != f(sK0) )
& ! [X1: $int] :
( ~ $less(g(X1),0)
& ( ( $uminus(X1) = g(X1) )
| ( g(X1) = X1 ) ) )
& ! [X2: $int] :
( ~ $less(f(X2),$uminus(X2))
& ( ~ $less(X2,f(X2))
| ~ $less($uminus(X2),f(X2)) )
& ~ $less(f(X2),X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
tff(f21,plain,
! [X2: $int] : ~ $less(f(X2),X2),
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
! [X2: $int] :
( ~ $less($uminus(X2),f(X2))
| ~ $less(X2,f(X2)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f23,plain,
! [X2: $int] : ~ $less(f(X2),$uminus(X2)),
inference(cnf_transformation,[],[f20]) ).
tff(f24,plain,
! [X1: $int] :
( ( $uminus(X1) = g(X1) )
| ( g(X1) = X1 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f25,plain,
! [X1: $int] : ~ $less(g(X1),0),
inference(cnf_transformation,[],[f20]) ).
tff(f26,plain,
g(sK0) != f(sK0),
inference(cnf_transformation,[],[f20]) ).
tff(f27,definition,
sF1 = g(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f28,plain,
g(sK0) = sF1,
inference(reorient_equations,[],[f27]) ).
tff(f29,definition,
sF2 = f(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f30,plain,
f(sK0) = sF2,
inference(reorient_equations,[],[f29]) ).
tff(f31,plain,
sF2 != sF1,
inference(definition_folding,[],[f26,f30,f28]) ).
tff(f33,definition,
( spl3_1
<=> ( sF2 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f35,plain,
( ( sF2 != sF1 )
| spl3_1 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f36,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f31,f33]) ).
tff(f38,definition,
( spl3_2
<=> ( f(sK0) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f40,plain,
( ( f(sK0) = sF2 )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f41,plain,
spl3_2,
inference(avatar_split_clause,[],[f30,f38]) ).
tff(f43,definition,
( spl3_3
<=> ( g(sK0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f45,plain,
( ( g(sK0) = sF1 )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f46,plain,
spl3_3,
inference(avatar_split_clause,[],[f28,f43]) ).
tff(f47,plain,
! [X0: $int] :
( ~ $less(g(X0),f(X0))
| ( g(X0) = X0 )
| ~ $less(X0,f(X0)) ),
inference(superposition,[],[f22,f24]) ).
tff(f48,plain,
! [X0: $int] :
( ~ $less(f(X0),g(X0))
| ( g(X0) = X0 ) ),
inference(superposition,[],[f23,f24]) ).
tff(f49,plain,
( ( g(sK0) = sK0 )
| ~ $less(sK0,sF2)
| ~ $less(g(sK0),sF2)
| ~ spl3_2 ),
inference(superposition,[],[f47,f40]) ).
tff(f50,plain,
( ~ $less(sF2,g(sK0))
| ( g(sK0) = sK0 )
| ~ spl3_2 ),
inference(superposition,[],[f48,f40]) ).
tff(f51,plain,
( ~ $less($uminus(sK0),sF2)
| ~ $less(sK0,sF2)
| ~ spl3_2 ),
inference(superposition,[],[f22,f40]) ).
tff(f52,plain,
( ~ $less(sF2,$uminus(sK0))
| ~ spl3_2 ),
inference(superposition,[],[f23,f40]) ).
tff(f53,plain,
( ~ $less(sF2,sK0)
| ~ spl3_2 ),
inference(superposition,[],[f21,f40]) ).
tff(f55,definition,
( spl3_4
<=> $less(sF2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f57,plain,
( ~ $less(sF2,sK0)
| spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f58,plain,
( ~ spl3_4
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f53,f38,f55]) ).
tff(f59,plain,
( ~ $less(sF2,sF1)
| ( g(sK0) = sK0 )
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f50,f45]) ).
tff(f61,definition,
( spl3_5
<=> $less(sK0,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f63,plain,
( ~ $less(sK0,sF2)
| spl3_5 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f65,definition,
( spl3_6
<=> $less($uminus(sK0),sF2) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f68,plain,
( ~ spl3_5
| ~ spl3_6
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f51,f38,f65,f61]) ).
tff(f69,plain,
( ~ $less(sK0,sF2)
| ~ $less(g(sK0),sF2)
| ( sK0 = sF1 )
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f49,f45]) ).
tff(f71,definition,
( spl3_7
<=> $less(sF2,$uminus(sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
tff(f74,plain,
( ~ spl3_7
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f52,f38,f71]) ).
tff(f75,plain,
( ( sK0 = sF1 )
| ~ $less(sF2,sF1)
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f59,f45]) ).
tff(f76,plain,
( ~ $less(sK0,sF2)
| ~ $less(sF1,sF2)
| ( sK0 = sF1 )
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f69,f45]) ).
tff(f78,definition,
( spl3_8
<=> ( sK0 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
tff(f82,definition,
( spl3_9
<=> $less(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
tff(f85,plain,
( spl3_8
| ~ spl3_9
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f75,f43,f38,f82,f78]) ).
tff(f87,definition,
( spl3_10
<=> $less(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
tff(f90,plain,
( ~ spl3_10
| spl3_8
| ~ spl3_5
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f76,f43,f38,f61,f78,f87]) ).
tff(f93,plain,
( ~ $less(sF1,0)
| ~ spl3_3 ),
inference(superposition,[],[f25,f45]) ).
tff(f96,definition,
( spl3_11
<=> $less(sF1,0) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
tff(f99,plain,
( ~ spl3_11
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f93,f43,f96]) ).
tff(f101,plain,
! [X0: $int] :
( ( $uminus(g(X0)) = X0 )
| ( g(X0) = X0 ) ),
inference(superposition,[],[f14,f24]) ).
tff(f162,plain,
( ( sF2 = sK0 )
| $less(sF2,sK0)
| spl3_5 ),
inference(resolution,[],[f11,f63]) ).
tff(f166,plain,
( ( sF2 = sK0 )
| spl3_4
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f162,f57]) ).
tff(f168,definition,
( spl3_14
<=> ( 0 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
tff(f170,plain,
( ( 0 = sF1 )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f168]) ).
tff(f182,definition,
( spl3_16
<=> ( sF2 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
tff(f184,plain,
( ( sF2 = sK0 )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f185,plain,
( spl3_16
| spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f166,f61,f55,f182]) ).
tff(f188,plain,
( ( 0 != sF2 )
| spl3_1
| ~ spl3_14 ),
inference(superposition,[],[f35,f170]) ).
tff(f190,definition,
( spl3_17
<=> ( 0 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
tff(f193,plain,
( ~ spl3_17
| spl3_1
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f188,f168,f33,f190]) ).
tff(f290,plain,
( ( sK0 = sF1 )
| ( $uminus(sF1) = sK0 )
| ~ spl3_3 ),
inference(superposition,[],[f101,f45]) ).
tff(f300,plain,
( ( sF2 = sF1 )
| ( $uminus(sF1) = sK0 )
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f290,f184]) ).
tff(f302,plain,
( ( $uminus(sF1) = sK0 )
| spl3_1
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f300,f35]) ).
tff(f303,plain,
( ( $uminus(sF1) = sF2 )
| spl3_1
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f302,f184]) ).
tff(f305,definition,
( spl3_24
<=> ( $uminus(sF1) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
tff(f308,plain,
( spl3_24
| spl3_1
| ~ spl3_3
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f303,f182,f43,f33,f305]) ).
tff(f309,plain,
$false,
inference(avatar_smt_refutation,[],[f308,f193,f185,f99,f90,f85,f74,f68,f58,f46,f41,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI617_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.14 % Computer : n012.cluster.edu
% 0.07/0.14 % Model : x86_64 x86_64
% 0.07/0.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.14 % Memory : 8046.5625MB
% 0.07/0.14 % OS : Linux 6.8.0-71-generic
% 0.07/0.14 % CPULimit : 300
% 0.07/0.14 % WCLimit : 300
% 0.07/0.14 % DateTime : Mon Sep 28 20:53:19 UTC 2026
% 0.07/0.15 % CPUTime :
% 0.07/0.15 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 Running first-order theorem proving
% 0.07/0.17 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
% 3.51/1.08 % (3750712)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.51/1.08 % (3750720)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2098828067:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.51/1.08 % (3750719)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1957713267:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.51/1.08 % (3750719)Refutation not found, incomplete strategy
% 3.51/1.08 % (3750719)------------------------------
% 3.51/1.08 % (3750719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750719)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750719)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.08 % (3750719)Time elapsed: 0.024 s
% 3.51/1.08 % (3750719)Peak memory usage: 116 MB
% 3.51/1.08 % (3750719)Instructions burned: 11 (million)
% 3.51/1.08 % (3750721)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3580532866:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.51/1.08 % (3750718)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2118902205:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.51/1.08 % (3750722)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1632027463:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.51/1.08 % (3750723)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1602287246:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.51/1.08 % (3750722)Instruction limit reached!
% 3.51/1.08 % (3750722)------------------------------
% 3.51/1.08 % (3750722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750722)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750722)Termination reason: Instruction limit
% 3.51/1.08 % (3750722)Termination phase: Saturation
% 3.51/1.08 % (3750722)Time elapsed: 0.003 s
% 3.51/1.08 % (3750722)Peak memory usage: 88 MB
% 3.51/1.08 % (3750722)Instructions burned: 4 (million)
% 3.51/1.08 % (3750721)Instruction limit reached!
% 3.51/1.08 % (3750721)------------------------------
% 3.51/1.08 % (3750721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750721)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750721)Termination reason: Instruction limit
% 3.51/1.08 % (3750721)Termination phase: Saturation
% 3.51/1.08 % (3750721)Time elapsed: 0.005 s
% 3.51/1.08 % (3750721)Peak memory usage: 88 MB
% 3.51/1.08 % (3750721)Instructions burned: 8 (million)
% 3.51/1.08 % (3750724)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1134981489:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.51/1.08 % (3750723)Refutation not found, incomplete strategy
% 3.51/1.08 % (3750723)------------------------------
% 3.51/1.08 % (3750723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750723)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750723)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.08 % (3750723)Time elapsed: 0.023 s
% 3.51/1.08 % (3750723)Peak memory usage: 114 MB
% 3.51/1.08 % (3750723)Instructions burned: 6 (million)
% 3.51/1.08 % (3750718)Instruction limit reached!
% 3.51/1.08 % (3750718)------------------------------
% 3.51/1.08 % (3750718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750718)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750718)Termination reason: Instruction limit
% 3.51/1.08 % (3750718)Termination phase: Saturation
% 3.51/1.08 % (3750718)Time elapsed: 0.024 s
% 3.51/1.08 % (3750718)Peak memory usage: 114 MB
% 3.51/1.08 % (3750718)Instructions burned: 12 (million)
% 3.51/1.08 % (3750720)Instruction limit reached!
% 3.51/1.08 % (3750720)------------------------------
% 3.51/1.08 % (3750720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750720)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750720)Termination reason: Instruction limit
% 3.51/1.08 % (3750720)Termination phase: Saturation
% 3.51/1.08 % (3750720)Time elapsed: 0.109 s
% 3.51/1.08 % (3750720)Peak memory usage: 117 MB
% 3.51/1.08 % (3750720)Instructions burned: 202 (million)
% 3.51/1.08 % (3750724)First to succeed.
% 3.51/1.08 % (3750724)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3750712"
% 3.51/1.08 % (3750733)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=1145600213:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.51/1.08 % (3750733)Instruction limit reached!
% 3.51/1.08 % (3750733)------------------------------
% 3.51/1.08 % (3750733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750733)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750733)Termination reason: Instruction limit
% 3.51/1.08 % (3750733)Termination phase: Saturation
% 3.51/1.08 % (3750733)Time elapsed: 0.013 s
% 3.51/1.08 % (3750733)Peak memory usage: 88 MB
% 3.51/1.08 % (3750733)Instructions burned: 31 (million)
% 3.51/1.08 % (3750719)------------------------------
% 3.51/1.08 % (3750719)------------------------------
% 3.51/1.08 % (3750732)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3251711674:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.51/1.08 % (3750732)Refutation not found, incomplete strategy
% 3.51/1.08 % (3750732)------------------------------
% 3.51/1.08 % (3750732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750732)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750732)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.08 % (3750732)Time elapsed: 0.002 s
% 3.51/1.08 % (3750732)Peak memory usage: 89 MB
% 3.51/1.08 % (3750735)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1892180082:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.51/1.08 % (3750735)Instruction limit reached!
% 3.51/1.08 % (3750735)------------------------------
% 3.51/1.08 % (3750735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750735)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750735)Termination reason: Instruction limit
% 3.51/1.08 % (3750735)Termination phase: Saturation
% 3.51/1.08 % (3750735)Time elapsed: 0.009 s
% 3.51/1.08 % (3750735)Peak memory usage: 90 MB
% 3.51/1.08 % (3750735)Instructions burned: 16 (million)
% 3.51/1.08 % (3750723)------------------------------
% 3.51/1.08 % (3750723)------------------------------
% 3.51/1.08 % (3750736)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4249983808:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.51/1.08 % (3750736)Instruction limit reached!
% 3.51/1.08 % (3750736)------------------------------
% 3.51/1.08 % (3750736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.08 % (3750736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.08 % (3750736)CaDiCaL version: 2.1.3
% 3.51/1.08 % (3750736)Termination reason: Instruction limit
% 3.51/1.08 % (3750736)Termination phase: Saturation
% 3.51/1.08 % (3750736)Time elapsed: 0.016 s
% 3.51/1.08 % (3750736)Peak memory usage: 89 MB
% 3.51/1.08 % (3750736)Instructions burned: 26 (million)
% 3.51/1.08 % (3750724)Refutation found. Thanks to Tanya!
% 3.51/1.08 % SZS status Theorem for theBenchmark
% 3.51/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.26 % (3750724)------------------------------
% 4.08/1.26 % (3750724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.26 % (3750724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.26 % (3750724)CaDiCaL version: 2.1.3
% 4.08/1.26 % (3750724)Termination reason: Refutation
% 4.08/1.26 % (3750724)Time elapsed: 0.042 s
% 4.08/1.26 % (3750724)Peak memory usage: 117 MB
% 4.08/1.26 % (3750724)Instructions burned: 31 (million)
% 4.08/1.26 % (3750724)------------------------------
% 4.08/1.26 % (3750724)------------------------------
% 4.08/1.26 % (3750712)Success in time 0.501 s
% 4.08/1.26 % Vampire exiting
%------------------------------------------------------------------------------