%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC448_1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:03:58 PM UTC 2026
% Result : Theorem 5.47s 1.54s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 21 unt; 0 typ; 1 def)
% Number of atoms : 79 ( 42 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 68 ( 31 ~; 24 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number arithmetic : 292 ( 27 atm; 99 fun; 128 num; 38 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 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 24 ( 9 usr; 11 con; 0-2 aty)
% Number of variables : 38 ( 35 !; 3 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
v0: $int > $int ).
tff(func_def_1,type,
u0: ( $int * $int ) > $int ).
tff(func_def_2,type,
fast: $int > $int ).
tff(func_def_3,type,
g0: $int ).
tff(func_def_4,type,
h0: $int > $int ).
tff(func_def_5,type,
small: $int > $int ).
tff(func_def_6,type,
f0: $int > $int ).
tff(func_def_14,type,
sK0: $int ).
tff(func_def_16,type,
10: $int > $int ).
tff(func_def_18,type,
100: $int > $int ).
tff(func_def_21,type,
'$inst2': $int ).
tff(func_def_26,type,
1000: $int > $int ).
tff(f1,axiom,
! [X0: $int] : ( f0(X0) = $product(2,$sum($product(2,$sum(2,$sum(X0,X0))),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
g0 = 2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).
tff(f3,axiom,
! [X0: $int] : ( h0(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
! [X0: $int,X1: $int] :
( ( $lesseq(X0,0)
=> ( u0(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u0(X0,X1) = f0(u0($difference(X0,1),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int] : ( small(X0) = $difference(v0(X0),1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X0: $int] : ( fast(X0) = $sum(2,$product($sum(1,$sum(2,2)),$sum(1,$product(2,$product(2,$sum($product(2,$sum(2,$sum(X0,X0))),X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7) ).
tff(f8,conjecture,
~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
tff(f9,negated_conjecture,
~ ~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f10,plain,
? [X0: $int] :
( ~ $less(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X0)
=> ( u0(X0,X1) = X1 ) )
& ( $less(0,X0)
=> ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f12,plain,
! [X0: $int] : ( small(X0) = $sum(v0(X0),$uminus(1)) ),
inference(theory_normalization,[],[f6]) ).
tff(f31,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X0)
| ( u0(X0,X1) = X1 ) )
& ( ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) )
| ~ $less(0,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f32,plain,
( ~ $less(sK0,0)
& ( fast(sK0) != small(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f10]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
| ( u0(X1,X0) = X0 ) )
& ( ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) ) ),
inference(rectify,[],[f31]) ).
tff(f34,plain,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tff(f35,plain,
! [X0: $int] : ( h0(X0) = X0 ),
inference(cnf_transformation,[],[f3]) ).
tff(f36,plain,
fast(sK0) != small(sK0),
inference(cnf_transformation,[],[f32]) ).
tff(f38,plain,
! [X0: $int] : ( f0(X0) = $product(2,$sum($product(2,$sum(2,$sum(X0,X0))),X0)) ),
inference(cnf_transformation,[],[f1]) ).
tff(f39,plain,
! [X0: $int] : ( small(X0) = $sum(v0(X0),$uminus(1)) ),
inference(cnf_transformation,[],[f12]) ).
tff(f40,plain,
2 = g0,
inference(cnf_transformation,[],[f2]) ).
tff(f41,plain,
! [X0: $int,X1: $int] :
( ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = X0 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f43,plain,
! [X0: $int] : ( fast(X0) = $sum(2,$product($sum(1,$sum(2,2)),$sum(1,$product(2,$product(2,$sum($product(2,$sum(2,$sum(X0,X0))),X0)))))) ),
inference(cnf_transformation,[],[f7]) ).
tff(f44,plain,
! [X0: $int] : ( v0(X0) = u0(2,h0(X0)) ),
inference(definition_unfolding,[],[f34,f40]) ).
tff(f45,plain,
! [X0: $int] : ( small(X0) = $sum(u0(2,h0(X0)),$uminus(1)) ),
inference(definition_unfolding,[],[f39,f44]) ).
tff(f46,plain,
$sum(u0(2,h0(sK0)),$uminus(1)) != $sum(2,$product($sum(1,$sum(2,2)),$sum(1,$product(2,$product(2,$sum($product(2,$sum(2,$sum(sK0,sK0))),sK0)))))),
inference(definition_unfolding,[],[f36,f43,f45]) ).
tff(f47,plain,
! [X0: $int,X1: $int] :
( ( $product(2,$sum($product(2,$sum(2,$sum(u0($sum(X1,$uminus(1)),X0),u0($sum(X1,$uminus(1)),X0)))),u0($sum(X1,$uminus(1)),X0))) = u0(X1,X0) )
| ~ $less(0,X1) ),
inference(definition_unfolding,[],[f41,f38]) ).
tff(f49,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = $sum(8,10(u0($sum(X1,-1),X0))) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f47]) ).
tff(f50,plain,
$sum(-1,u0(2,h0(sK0))) != $sum(87,100(sK0)),
inference(evaluation,[],[f46]) ).
tff(f57,definition,
( spl1_2
<=> ( $sum(-1,u0(2,h0(sK0))) = $sum(87,100(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f59,plain,
( ( $sum(-1,u0(2,h0(sK0))) != $sum(87,100(sK0)) )
| spl1_2 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f60,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f50,f57]) ).
tff(f73,plain,
! [X0: $int,X1: $int] :
( ( $sum(8,10(X0)) = u0(X1,X0) )
| $less(0,$sum(X1,-1))
| ~ $less(0,X1) ),
inference(superposition,[],[f49,f42]) ).
tff(f86,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($sum(X1,-1),-1))
| ~ $less(0,X1)
| ~ $less(0,$sum(X1,-1))
| ( u0(X1,X0) = $sum(8,10($sum(8,10(X0)))) ) ),
inference(superposition,[],[f49,f73]) ).
tff(f87,plain,
! [X0: $int,X1: $int] :
( ( $sum(88,100(X0)) = u0(X1,X0) )
| $less(0,$sum(X1,-2))
| ~ $less(0,X1)
| ~ $less(0,$sum(X1,-1)) ),
inference(evaluation,[],[f86]) ).
tff(f102,plain,
( $less(0,$sum(2,-2))
| ~ $less(0,2)
| ~ $less(0,$sum(2,-1))
| ( $sum(-1,$sum(88,100(h0(sK0)))) != $sum(87,100(sK0)) )
| spl1_2 ),
inference(superposition,[],[f59,f87]) ).
tff(f109,plain,
( ( $sum(87,100(h0(sK0))) != $sum(87,100(sK0)) )
| spl1_2 ),
inference(evaluation,[],[f102]) ).
tff(f111,plain,
( ( $sum(87,100(sK0)) != $sum(87,100(sK0)) )
| spl1_2 ),
inference(forward_demodulation,[],[f109,f35]) ).
tff(f112,plain,
( $false
| spl1_2 ),
inference(trivial_inequality_removal,[],[f111]) ).
tff(f113,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f112]) ).
tff(f114,plain,
$false,
inference(avatar_smt_refutation,[],[f113,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC448_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:37:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.55/1.27 % (235597)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.55/1.27 % (235606)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3062837881:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.55/1.27 % (235606)Instruction limit reached!
% 3.55/1.27 % (235606)------------------------------
% 3.55/1.27 % (235606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.27 % (235606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.27 % (235606)CaDiCaL version: 2.1.3
% 3.55/1.27 % (235606)Termination reason: Instruction limit
% 3.55/1.27 % (235606)Termination phase: Saturation
% 3.55/1.27 % (235606)Time elapsed: 0.002 s
% 3.55/1.27 % (235606)Peak memory usage: 88 MB
% 3.55/1.27 % (235606)Instructions burned: 4 (million)
% 3.55/1.27 % (235605)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=77880525:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.55/1.27 % (235604)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2369358170:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.55/1.27 % (235603)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1742678262:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.55/1.27 % (235602)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2663438749:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.55/1.27 % (235605)Instruction limit reached!
% 3.55/1.27 % (235605)------------------------------
% 3.55/1.27 % (235605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.27 % (235605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.27 % (235605)CaDiCaL version: 2.1.3
% 3.55/1.27 % (235605)Termination reason: Instruction limit
% 3.55/1.27 % (235605)Termination phase: Saturation
% 3.55/1.27 % (235605)Time elapsed: 0.005 s
% 3.55/1.27 % (235605)Peak memory usage: 88 MB
% 3.55/1.27 % (235605)Instructions burned: 8 (million)
% 3.55/1.27 % (235607)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1215774152:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.55/1.27 % (235608)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3878053113:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.55/1.27 % (235602)Instruction limit reached!
% 3.55/1.27 % (235602)------------------------------
% 3.55/1.27 % (235602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.27 % (235602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.27 % (235602)CaDiCaL version: 2.1.3
% 3.55/1.27 % (235602)Termination reason: Instruction limit
% 3.55/1.27 % (235602)Termination phase: Saturation
% 3.55/1.27 % (235602)Time elapsed: 0.031 s
% 3.55/1.27 % (235602)Peak memory usage: 115 MB
% 3.55/1.27 % (235602)Instructions burned: 12 (million)
% 3.55/1.27 % (235608)Instruction limit reached!
% 3.55/1.27 % (235608)------------------------------
% 3.55/1.27 % (235608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.27 % (235608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.27 % (235608)CaDiCaL version: 2.1.3
% 3.55/1.27 % (235608)Termination reason: Instruction limit
% 3.55/1.27 % (235608)Termination phase: Saturation
% 3.55/1.27 % (235608)Time elapsed: 0.046 s
% 3.55/1.27 % (235608)Peak memory usage: 117 MB
% 3.55/1.27 % (235608)Instructions burned: 33 (million)
% 3.55/1.27 % (235607)Instruction limit reached!
% 3.55/1.27 % (235607)------------------------------
% 3.55/1.27 % (235607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.27 % (235607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.27 % (235607)CaDiCaL version: 2.1.3
% 3.55/1.27 % (235607)Termination reason: Instruction limit
% 3.55/1.27 % (235607)Termination phase: Saturation
% 3.55/1.27 % (235607)Time elapsed: 0.046 s
% 3.55/1.27 % (235607)Peak memory usage: 115 MB
% 3.55/1.27 % (235607)Instructions burned: 48 (million)
% 3.55/1.27 % (235610)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2559515929:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.55/1.27 % (235610)Instruction limit reached!
% 3.55/1.27 % (235610)------------------------------
% 3.55/1.27 % (235610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235610)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235610)Termination reason: Instruction limit
% 4.11/1.35 % (235610)Termination phase: Saturation
% 4.11/1.35 % (235610)Time elapsed: 0.005 s
% 4.11/1.35 % (235610)Peak memory usage: 88 MB
% 4.11/1.35 % (235610)Instructions burned: 17 (million)
% 4.11/1.35 % (235603)Refutation not found, incomplete strategy
% 4.11/1.35 % (235603)------------------------------
% 4.11/1.35 % (235603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235603)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235603)Termination reason: Refutation not found, incomplete strategy
% 4.11/1.35 % (235603)Time elapsed: 0.077 s
% 4.11/1.35 % (235603)Peak memory usage: 116 MB
% 4.11/1.35 % (235603)Instructions burned: 87 (million)
% 4.11/1.35 % (235604)Instruction limit reached!
% 4.11/1.35 % (235604)------------------------------
% 4.11/1.35 % (235604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235604)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235604)Termination reason: Instruction limit
% 4.11/1.35 % (235604)Termination phase: Saturation
% 4.11/1.35 % (235604)Time elapsed: 0.137 s
% 4.11/1.35 % (235604)Peak memory usage: 117 MB
% 4.11/1.35 % (235604)Instructions burned: 201 (million)
% 4.11/1.35 % (235617)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=2592872219:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.11/1.35 % (235617)Instruction limit reached!
% 4.11/1.35 % (235617)------------------------------
% 4.11/1.35 % (235617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235617)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235617)Termination reason: Instruction limit
% 4.11/1.35 % (235617)Termination phase: Saturation
% 4.11/1.35 % (235617)Time elapsed: 0.022 s
% 4.11/1.35 % (235617)Peak memory usage: 88 MB
% 4.11/1.35 % (235617)Instructions burned: 30 (million)
% 4.11/1.35 % (235618)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2165945781:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.11/1.35 % (235618)Instruction limit reached!
% 4.11/1.35 % (235618)------------------------------
% 4.11/1.35 % (235618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235618)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235618)Termination reason: Instruction limit
% 4.11/1.35 % (235618)Termination phase: Saturation
% 4.11/1.35 % (235618)Time elapsed: 0.011 s
% 4.11/1.35 % (235618)Peak memory usage: 90 MB
% 4.11/1.35 % (235618)Instructions burned: 17 (million)
% 4.11/1.35 % (235619)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=671732147:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.11/1.35 % (235620)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=2003441631:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.11/1.35 % (235619)Instruction limit reached!
% 4.11/1.35 % (235619)------------------------------
% 4.11/1.35 % (235619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235619)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235619)Termination reason: Instruction limit
% 4.11/1.35 % (235619)Termination phase: Saturation
% 4.11/1.35 % (235619)Time elapsed: 0.010 s
% 4.11/1.35 % (235619)Peak memory usage: 89 MB
% 4.11/1.35 % (235619)Instructions burned: 25 (million)
% 4.11/1.35 % (235620)Instruction limit reached!
% 4.11/1.35 % (235620)------------------------------
% 4.11/1.35 % (235620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235620)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235620)Termination reason: Instruction limit
% 4.11/1.35 % (235620)Termination phase: Saturation
% 4.11/1.35 % (235620)Time elapsed: 0.015 s
% 4.11/1.35 % (235620)Peak memory usage: 89 MB
% 4.11/1.35 % (235620)Instructions burned: 27 (million)
% 4.11/1.35 % (235622)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1787256473:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.11/1.35 % (235622)Instruction limit reached!
% 4.11/1.35 % (235622)------------------------------
% 4.11/1.35 % (235622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235622)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235622)Termination reason: Instruction limit
% 4.11/1.35 % (235622)Termination phase: Saturation
% 4.11/1.35 % (235622)Time elapsed: 0.046 s
% 4.11/1.35 % (235622)Peak memory usage: 89 MB
% 4.11/1.35 % (235622)Instructions burned: 86 (million)
% 4.11/1.35 % (235623)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2330544371:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.11/1.35 % (235623)Instruction limit reached!
% 4.11/1.35 % (235623)------------------------------
% 4.11/1.35 % (235623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235623)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235623)Termination reason: Instruction limit
% 4.11/1.35 % (235623)Termination phase: Saturation
% 4.11/1.35 % (235623)Time elapsed: 0.003 s
% 4.11/1.35 % (235623)Peak memory usage: 88 MB
% 4.11/1.35 % (235623)Instructions burned: 3 (million)
% 4.11/1.35 % (235625)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1368588468:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.11/1.35 % (235630)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=820766004:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.11/1.35 % (235629)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=679070710:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.11/1.35 % (235625)Refutation not found, incomplete strategy
% 4.11/1.35 % (235625)------------------------------
% 4.11/1.35 % (235625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235625)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235625)Termination reason: Refutation not found, incomplete strategy
% 4.11/1.35 % (235625)Time elapsed: 0.012 s
% 4.11/1.35 % (235625)Peak memory usage: 90 MB
% 4.11/1.35 % (235625)Instructions burned: 16 (million)
% 4.11/1.35 % (235629)Instruction limit reached!
% 4.11/1.35 % (235629)------------------------------
% 4.11/1.35 % (235629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235629)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235629)Termination reason: Instruction limit
% 4.11/1.35 % (235629)Termination phase: Saturation
% 4.11/1.35 % (235629)Time elapsed: 0.004 s
% 4.11/1.35 % (235629)Peak memory usage: 89 MB
% 4.11/1.35 % (235629)Instructions burned: 5 (million)
% 4.11/1.35 % (235603)------------------------------
% 4.11/1.35 % (235603)------------------------------
% 4.11/1.35 % (235630)First to succeed.
% 4.11/1.35 % (235630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-235597"
% 4.11/1.35 % (235631)lrs+10_1_thi=all:si=on:fd=off:random_seed=2544909450:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.11/1.35 % (235633)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3645090932:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 4.11/1.35 % (235633)Instruction limit reached!
% 4.11/1.35 % (235633)------------------------------
% 4.11/1.35 % (235633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.35 % (235633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.35 % (235633)CaDiCaL version: 2.1.3
% 4.11/1.35 % (235633)Termination reason: Instruction limit
% 4.11/1.35 % (235633)Termination phase: Saturation
% 4.11/1.35 % (235633)Time elapsed: 0.006 s
% 4.11/1.35 % (235633)Peak memory usage: 88 MB
% 4.11/1.35 % (235633)Instructions burned: 8 (million)
% 4.11/1.35 % (235631)Instruction limit reached!
% 5.47/1.54 % (235631)------------------------------
% 5.47/1.54 % (235631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.54 % (235631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.54 % (235631)CaDiCaL version: 2.1.3
% 5.47/1.54 % (235631)Termination reason: Instruction limit
% 5.47/1.54 % (235631)Termination phase: Saturation
% 5.47/1.54 % (235631)Time elapsed: 0.064 s
% 5.47/1.54 % (235631)Peak memory usage: 116 MB
% 5.47/1.54 % (235631)Instructions burned: 53 (million)
% 5.47/1.54 % (235635)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3946867304:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.47/1.54 % (235635)Instruction limit reached!
% 5.47/1.54 % (235635)------------------------------
% 5.47/1.54 % (235635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.54 % (235635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.54 % (235635)CaDiCaL version: 2.1.3
% 5.47/1.54 % (235635)Termination reason: Instruction limit
% 5.47/1.54 % (235635)Termination phase: Saturation
% 5.47/1.54 % (235635)Time elapsed: 0.003 s
% 5.47/1.54 % (235635)Peak memory usage: 89 MB
% 5.47/1.54 % (235635)Instructions burned: 3 (million)
% 5.47/1.54 % (235639)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1880368355:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.47/1.54 % (235639)Instruction limit reached!
% 5.47/1.54 % (235639)------------------------------
% 5.47/1.54 % (235639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.54 % (235639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.54 % (235639)CaDiCaL version: 2.1.3
% 5.47/1.54 % (235639)Termination reason: Instruction limit
% 5.47/1.54 % (235639)Termination phase: Saturation
% 5.47/1.54 % (235639)Time elapsed: 0.003 s
% 5.47/1.54 % (235639)Peak memory usage: 89 MB
% 5.47/1.54 % (235639)Instructions burned: 3 (million)
% 5.47/1.54 % (235640)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3563330972:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.47/1.54 % (235630)Refutation found. Thanks to Tanya!
% 5.47/1.54 % SZS status Theorem for theBenchmark
% 5.47/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.47/1.55 % (235630)------------------------------
% 5.47/1.55 % (235630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.55 % (235630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.55 % (235630)CaDiCaL version: 2.1.3
% 5.47/1.55 % (235630)Termination reason: Refutation
% 5.47/1.55 % (235630)Time elapsed: 0.040 s
% 5.47/1.55 % (235630)Peak memory usage: 134 MB
% 5.47/1.55 % (235630)Instructions burned: 25 (million)
% 5.47/1.55 % (235630)------------------------------
% 5.47/1.55 % (235630)------------------------------
% 5.47/1.55 % (235597)Success in time 0.687 s
% 5.47/1.55 % Vampire exiting
%------------------------------------------------------------------------------