%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC438_1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:03:57 PM UTC 2026
% Result : Theorem 10.19s 2.42s
% Output : Refutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 20 unt; 0 typ; 1 def)
% Number of atoms : 82 ( 43 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 72 ( 32 ~; 24 |; 9 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 261 ( 29 atm; 76 fun; 117 num; 39 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 : 25 ( 9 usr; 10 con; 0-2 aty)
% Number of variables : 39 ( 36 !; 3 ?; 39 :)
% 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_17,type,
2: $int > $int ).
tff(func_def_20,type,
'$inst2': $int ).
tff(func_def_21,type,
4: $int > $int ).
tff(func_def_24,type,
6: $int > $int ).
tff(func_def_25,type,
8: $int > $int ).
tff(f1,axiom,
! [X0: $int] : ( f0(X0) = $sum(1,$sum(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
g0 = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).
tff(f3,axiom,
! [X0: $int] : ( h0(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
! [X1: $int,X0: $int] :
( ( $lesseq(X0,0)
=> ( u0(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u0(X0,X1) = f0(u0($difference(X0,1),X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int] : ( small(X0) = $product(2,$sum(v0(X0),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X0: $int] : ( fast(X0) = $sum(1,$product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).
tff(f8,conjecture,
~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
tff(f9,negated_conjecture,
~ ~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f10,plain,
! [X1: $int,X0: $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(f11,plain,
? [X0: $int] :
( ( small(X0) != fast(X0) )
& ~ $less(X0,0) ),
inference(theory_normalization,[],[f9]) ).
tff(f30,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
=> ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) ) )
& ( ~ $less(0,X1)
=> ( u0(X1,X0) = X0 ) ) ),
inference(rectify,[],[f10]) ).
tff(f31,plain,
! [X1: $int,X0: $int] :
( ( ( u0(X1,X0) = X0 )
| $less(0,X1) )
& ( ~ $less(0,X1)
| ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) ) ) ),
inference(ennf_transformation,[],[f30]) ).
tff(f32,plain,
! [X0: $int,X1: $int] :
( ( ( u0(X0,X1) = X1 )
| $less(0,X0) )
& ( ~ $less(0,X0)
| ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) ) ),
inference(rectify,[],[f31]) ).
tff(f33,plain,
( ( fast(sK0) != small(sK0) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f11]) ).
tff(f34,plain,
g0 = 2,
inference(cnf_transformation,[],[f2]) ).
tff(f35,plain,
! [X0: $int] : ( small(X0) = $product(2,$sum(v0(X0),X0)) ),
inference(cnf_transformation,[],[f6]) ).
tff(f36,plain,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tff(f37,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f38,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f32]) ).
tff(f40,plain,
fast(sK0) != small(sK0),
inference(cnf_transformation,[],[f33]) ).
tff(f41,plain,
! [X0: $int] : ( f0(X0) = $sum(1,$sum(X0,X0)) ),
inference(cnf_transformation,[],[f1]) ).
tff(f42,plain,
! [X0: $int] : ( fast(X0) = $sum(1,$product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0)))) ),
inference(cnf_transformation,[],[f7]) ).
tff(f43,plain,
! [X0: $int] : ( h0(X0) = X0 ),
inference(cnf_transformation,[],[f3]) ).
tff(f44,plain,
! [X0: $int] : ( v0(X0) = u0(2,h0(X0)) ),
inference(definition_unfolding,[],[f36,f34]) ).
tff(f45,plain,
! [X0: $int] : ( small(X0) = $product(2,$sum(u0(2,h0(X0)),X0)) ),
inference(definition_unfolding,[],[f35,f44]) ).
tff(f46,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u0(X0,X1) = $sum(1,$sum(u0($sum(X0,$uminus(1)),X1),u0($sum(X0,$uminus(1)),X1))) ) ),
inference(definition_unfolding,[],[f37,f41]) ).
tff(f47,plain,
$product(2,$sum(u0(2,h0(sK0)),sK0)) != $sum(1,$product($sum(1,$sum(2,2)),$sum(1,$sum(sK0,sK0)))),
inference(definition_unfolding,[],[f40,f42,f45]) ).
tff(f49,plain,
$sum(2(sK0),2(u0(2,h0(sK0)))) != $sum(10(sK0),6),
inference(evaluation,[],[f47]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $sum(1,2(u0($sum(-1,X0),X1))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f46]) ).
tff(f57,definition,
( spl1_2
<=> ( $sum(2(sK0),2(u0(2,h0(sK0)))) = $sum(10(sK0),6) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f59,plain,
( ( $sum(2(sK0),2(u0(2,h0(sK0)))) != $sum(10(sK0),6) )
| spl1_2 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f60,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f49,f57]) ).
tff(f74,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $sum(1,2(X1)) )
| ~ $less(0,X0)
| $less(0,$sum(-1,X0)) ),
inference(superposition,[],[f50,f38]) ).
tff(f88,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(-1,$sum(-1,X0)))
| ~ $less(0,X0)
| ~ $less(0,$sum(-1,X0))
| ( u0(X0,X1) = $sum(1,2($sum(1,2(X1)))) ) ),
inference(superposition,[],[f50,f74]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $sum(3,4(X1)) )
| $less(0,$sum(-2,X0))
| ~ $less(0,X0)
| ~ $less(0,$sum(-1,X0)) ),
inference(evaluation,[],[f88]) ).
tff(f109,plain,
( ( $sum(2(sK0),2($sum(3,4(h0(sK0))))) != $sum(10(sK0),6) )
| $less(0,$sum(-2,2))
| ~ $less(0,2)
| ~ $less(0,$sum(-1,2))
| spl1_2 ),
inference(superposition,[],[f59,f91]) ).
tff(f114,plain,
( ( $sum(2(sK0),$sum(6,8(h0(sK0)))) != $sum(10(sK0),6) )
| spl1_2 ),
inference(evaluation,[],[f109]) ).
tff(f117,plain,
( ( $sum(2(sK0),$sum(6,8(sK0))) != $sum(10(sK0),6) )
| spl1_2 ),
inference(forward_demodulation,[],[f114,f43]) ).
tff(f118,plain,
( $false
| spl1_2 ),
inference(evaluation,[],[f117]) ).
tff(f119,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f118]) ).
tff(f120,plain,
$false,
inference(avatar_smt_refutation,[],[f119,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC438_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n006.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 09:37:25 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running first-order theorem proving
% 0.27/0.32 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
% 5.57/1.79 % (3842123)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.57/1.79 % (3842134)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1690685813:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.57/1.79 % (3842128)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=376849345:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.57/1.79 % (3842134)Instruction limit reached!
% 5.57/1.79 % (3842134)------------------------------
% 5.57/1.79 % (3842134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.79 % (3842134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.79 % (3842134)CaDiCaL version: 2.1.3
% 5.57/1.79 % (3842134)Termination reason: Instruction limit
% 5.57/1.79 % (3842134)Termination phase: Saturation
% 5.57/1.79 % (3842134)Time elapsed: 0.040 s
% 5.57/1.79 % (3842134)Peak memory usage: 117 MB
% 5.57/1.79 % (3842134)Instructions burned: 34 (million)
% 5.57/1.79 % (3842128)Instruction limit reached!
% 5.57/1.79 % (3842128)------------------------------
% 5.57/1.79 % (3842128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.79 % (3842128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.79 % (3842128)CaDiCaL version: 2.1.3
% 5.57/1.79 % (3842128)Termination reason: Instruction limit
% 5.57/1.79 % (3842128)Termination phase: Saturation
% 5.57/1.79 % (3842128)Time elapsed: 0.045 s
% 5.57/1.79 % (3842128)Peak memory usage: 116 MB
% 5.57/1.79 % (3842128)Instructions burned: 12 (million)
% 5.57/1.79 % (3842129)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=736877814:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.57/1.79 % (3842130)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1823918963:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.57/1.79 % (3842133)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4006645681:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.57/1.79 % (3842132)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1228358237:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.57/1.79 % (3842131)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3527930529:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.57/1.79 % (3842132)Instruction limit reached!
% 5.57/1.79 % (3842132)------------------------------
% 5.57/1.79 % (3842132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.79 % (3842132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.79 % (3842132)CaDiCaL version: 2.1.3
% 5.57/1.79 % (3842132)Termination reason: Instruction limit
% 5.57/1.79 % (3842132)Termination phase: Saturation
% 5.57/1.79 % (3842132)Time elapsed: 0.006 s
% 5.57/1.79 % (3842132)Peak memory usage: 88 MB
% 5.57/1.79 % (3842132)Instructions burned: 5 (million)
% 5.57/1.79 % (3842131)Instruction limit reached!
% 5.57/1.79 % (3842131)------------------------------
% 5.57/1.79 % (3842131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.79 % (3842131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.79 % (3842131)CaDiCaL version: 2.1.3
% 5.57/1.79 % (3842131)Termination reason: Instruction limit
% 5.57/1.79 % (3842131)Termination phase: Saturation
% 5.57/1.79 % (3842131)Time elapsed: 0.008 s
% 5.57/1.79 % (3842131)Peak memory usage: 88 MB
% 5.57/1.79 % (3842131)Instructions burned: 7 (million)
% 5.57/1.79 % (3842133)Instruction limit reached!
% 5.57/1.79 % (3842133)------------------------------
% 5.57/1.79 % (3842133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.79 % (3842133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.79 % (3842133)CaDiCaL version: 2.1.3
% 5.57/1.79 % (3842133)Termination reason: Instruction limit
% 5.57/1.79 % (3842133)Termination phase: Saturation
% 5.57/1.79 % (3842133)Time elapsed: 0.071 s
% 5.57/1.79 % (3842133)Peak memory usage: 115 MB
% 5.57/1.79 % (3842133)Instructions burned: 46 (million)
% 5.57/1.79 % (3842129)Refutation not found, incomplete strategy
% 5.57/1.79 % (3842129)------------------------------
% 5.57/1.79 % (3842129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.79 % (3842129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.02 % (3842129)CaDiCaL version: 2.1.3
% 7.09/2.02 % (3842129)Termination reason: Refutation not found, incomplete strategy
% 7.09/2.02 % (3842129)Time elapsed: 0.117 s
% 7.09/2.02 % (3842129)Peak memory usage: 118 MB
% 7.09/2.02 % (3842129)Instructions burned: 85 (million)
% 7.09/2.02 % (3842138)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=3231792900:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.09/2.02 % (3842137)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=79179942:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 7.09/2.02 % (3842137)Instruction limit reached!
% 7.09/2.02 % (3842137)------------------------------
% 7.09/2.02 % (3842137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.02 % (3842137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.02 % (3842137)CaDiCaL version: 2.1.3
% 7.09/2.02 % (3842137)Termination reason: Instruction limit
% 7.09/2.02 % (3842137)Termination phase: Saturation
% 7.09/2.02 % (3842137)Time elapsed: 0.013 s
% 7.09/2.02 % (3842137)Peak memory usage: 88 MB
% 7.09/2.02 % (3842137)Instructions burned: 14 (million)
% 7.09/2.02 % (3842138)Instruction limit reached!
% 7.09/2.02 % (3842138)------------------------------
% 7.09/2.02 % (3842138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.02 % (3842138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.02 % (3842138)CaDiCaL version: 2.1.3
% 7.09/2.02 % (3842138)Termination reason: Instruction limit
% 7.09/2.02 % (3842138)Termination phase: Saturation
% 7.09/2.02 % (3842138)Time elapsed: 0.018 s
% 7.09/2.02 % (3842138)Peak memory usage: 88 MB
% 7.09/2.02 % (3842138)Instructions burned: 31 (million)
% 7.09/2.02 % (3842130)Instruction limit reached!
% 7.09/2.02 % (3842130)------------------------------
% 7.09/2.02 % (3842130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.02 % (3842130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.02 % (3842130)CaDiCaL version: 2.1.3
% 7.09/2.02 % (3842130)Termination reason: Instruction limit
% 7.09/2.02 % (3842130)Termination phase: Saturation
% 7.09/2.02 % (3842130)Time elapsed: 0.256 s
% 7.09/2.02 % (3842130)Peak memory usage: 117 MB
% 7.09/2.02 % (3842130)Instructions burned: 201 (million)
% 7.09/2.02 % (3842145)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=501916611:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 7.09/2.02 % (3842144)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4002630327:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 7.09/2.02 % (3842144)Instruction limit reached!
% 7.09/2.02 % (3842144)------------------------------
% 7.09/2.02 % (3842144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.02 % (3842144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.02 % (3842144)CaDiCaL version: 2.1.3
% 7.09/2.02 % (3842144)Termination reason: Instruction limit
% 7.09/2.02 % (3842144)Termination phase: Saturation
% 7.09/2.02 % (3842144)Time elapsed: 0.017 s
% 7.09/2.02 % (3842144)Peak memory usage: 90 MB
% 7.09/2.02 % (3842144)Instructions burned: 16 (million)
% 7.09/2.02 % (3842145)Instruction limit reached!
% 7.09/2.02 % (3842145)------------------------------
% 7.09/2.02 % (3842145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.02 % (3842145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.02 % (3842145)CaDiCaL version: 2.1.3
% 7.09/2.02 % (3842145)Termination reason: Instruction limit
% 7.09/2.02 % (3842145)Termination phase: Saturation
% 7.09/2.02 % (3842145)Time elapsed: 0.028 s
% 7.09/2.02 % (3842145)Peak memory usage: 89 MB
% 7.09/2.02 % (3842145)Instructions burned: 24 (million)
% 7.09/2.02 % (3842146)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=267163233:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.09/2.02 % (3842146)Instruction limit reached!
% 7.09/2.02 % (3842146)------------------------------
% 7.09/2.02 % (3842146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.02 % (3842146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842146)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842146)Termination reason: Instruction limit
% 9.23/2.16 % (3842146)Termination phase: Saturation
% 9.23/2.16 % (3842146)Time elapsed: 0.026 s
% 9.23/2.16 % (3842146)Peak memory usage: 89 MB
% 9.23/2.16 % (3842146)Instructions burned: 28 (million)
% 9.23/2.16 % (3842150)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1322953212:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.23/2.16 % (3842150)Instruction limit reached!
% 9.23/2.16 % (3842150)------------------------------
% 9.23/2.16 % (3842150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842150)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842150)Termination reason: Instruction limit
% 9.23/2.16 % (3842150)Termination phase: Saturation
% 9.23/2.16 % (3842150)Time elapsed: 0.004 s
% 9.23/2.16 % (3842150)Peak memory usage: 88 MB
% 9.23/2.16 % (3842150)Instructions burned: 2 (million)
% 9.23/2.16 % (3842149)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3200406076:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 9.23/2.16 % (3842153)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3910538842:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.23/2.16 % (3842153)Refutation not found, incomplete strategy
% 9.23/2.16 % (3842153)------------------------------
% 9.23/2.16 % (3842153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842153)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842153)Termination reason: Refutation not found, incomplete strategy
% 9.23/2.16 % (3842153)Time elapsed: 0.002 s
% 9.23/2.16 % (3842153)Peak memory usage: 89 MB
% 9.23/2.16 % (3842153)Instructions burned: 2 (million)
% 9.23/2.16 % (3842129)------------------------------
% 9.23/2.16 % (3842129)------------------------------
% 9.23/2.16 % (3842149)Instruction limit reached!
% 9.23/2.16 % (3842149)------------------------------
% 9.23/2.16 % (3842149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842149)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842149)Termination reason: Instruction limit
% 9.23/2.16 % (3842149)Termination phase: Saturation
% 9.23/2.16 % (3842149)Time elapsed: 0.076 s
% 9.23/2.16 % (3842149)Peak memory usage: 89 MB
% 9.23/2.16 % (3842149)Instructions burned: 85 (million)
% 9.23/2.16 % (3842155)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1503249090:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 9.23/2.16 % (3842154)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3201405682:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.23/2.16 % (3842154)Instruction limit reached!
% 9.23/2.16 % (3842154)------------------------------
% 9.23/2.16 % (3842154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842154)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842154)Termination reason: Instruction limit
% 9.23/2.16 % (3842154)Termination phase: Saturation
% 9.23/2.16 % (3842154)Time elapsed: 0.007 s
% 9.23/2.16 % (3842154)Peak memory usage: 88 MB
% 9.23/2.16 % (3842154)Instructions burned: 4 (million)
% 9.23/2.16 % (3842157)lrs+10_1_thi=all:si=on:fd=off:random_seed=1402490834:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 9.23/2.16 % (3842155)First to succeed.
% 9.23/2.16 % (3842155)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3842123"
% 9.23/2.16 % (3842157)Instruction limit reached!
% 9.23/2.16 % (3842157)------------------------------
% 9.23/2.16 % (3842157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842157)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842157)Termination reason: Instruction limit
% 9.23/2.16 % (3842157)Termination phase: Saturation
% 9.23/2.16 % (3842157)Time elapsed: 0.090 s
% 9.23/2.16 % (3842157)Peak memory usage: 116 MB
% 9.23/2.16 % (3842157)Instructions burned: 53 (million)
% 9.23/2.16 % (3842153)------------------------------
% 9.23/2.16 % (3842153)------------------------------
% 9.23/2.16 % (3842159)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=3684200472:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 9.23/2.16 % (3842159)Instruction limit reached!
% 9.23/2.16 % (3842159)------------------------------
% 9.23/2.16 % (3842159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842159)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842159)Termination reason: Instruction limit
% 9.23/2.16 % (3842159)Termination phase: Saturation
% 9.23/2.16 % (3842159)Time elapsed: 0.010 s
% 9.23/2.16 % (3842159)Peak memory usage: 89 MB
% 9.23/2.16 % (3842159)Instructions burned: 8 (million)
% 9.23/2.16 % (3842163)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2109337605:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.23/2.16 % (3842163)Instruction limit reached!
% 9.23/2.16 % (3842163)------------------------------
% 9.23/2.16 % (3842163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842163)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842163)Termination reason: Instruction limit
% 9.23/2.16 % (3842163)Termination phase: Saturation
% 9.23/2.16 % (3842163)Time elapsed: 0.005 s
% 9.23/2.16 % (3842163)Peak memory usage: 89 MB
% 9.23/2.16 % (3842163)Instructions burned: 3 (million)
% 9.23/2.16 % (3842162)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3558303557:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 9.23/2.16 % (3842162)Instruction limit reached!
% 9.23/2.16 % (3842162)------------------------------
% 9.23/2.16 % (3842162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842162)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842162)Termination reason: Instruction limit
% 9.23/2.16 % (3842162)Termination phase: Saturation
% 9.23/2.16 % (3842162)Time elapsed: 0.003 s
% 9.23/2.16 % (3842162)Peak memory usage: 88 MB
% 9.23/2.16 % (3842162)Instructions burned: 2 (million)
% 9.23/2.16 % (3842166)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2380451665:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 9.23/2.16 % (3842170)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3495480419:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 9.23/2.16 % (3842171)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4130537064:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 9.23/2.16 % (3842170)Refutation not found, incomplete strategy
% 9.23/2.16 % (3842170)------------------------------
% 9.23/2.16 % (3842170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842170)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842170)Termination reason: Refutation not found, incomplete strategy
% 9.23/2.16 % (3842170)Time elapsed: 0.002 s
% 9.23/2.16 % (3842170)Peak memory usage: 89 MB
% 9.23/2.16 % (3842170)Instructions burned: 2 (million)
% 9.23/2.16 % (3842168)dis+10_1_si=on:random_seed=2679931301:i=10:ep=R:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 9.23/2.16 % (3842168)Instruction limit reached!
% 9.23/2.16 % (3842168)------------------------------
% 9.23/2.16 % (3842168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.16 % (3842168)CaDiCaL version: 2.1.3
% 9.23/2.16 % (3842168)Termination reason: Instruction limit
% 9.23/2.16 % (3842168)Termination phase: Saturation
% 9.23/2.16 % (3842168)Time elapsed: 0.011 s
% 9.23/2.16 % (3842168)Peak memory usage: 88 MB
% 9.23/2.16 % (3842168)Instructions burned: 11 (million)
% 9.23/2.16 % (3842171)Instruction limit reached!
% 9.23/2.16 % (3842171)------------------------------
% 9.23/2.16 % (3842171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.16 % (3842171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.42 % (3842171)CaDiCaL version: 2.1.3
% 10.19/2.42 % (3842171)Termination reason: Instruction limit
% 10.19/2.42 % (3842171)Termination phase: Saturation
% 10.19/2.42 % (3842171)Time elapsed: 0.038 s
% 10.19/2.42 % (3842171)Peak memory usage: 89 MB
% 10.19/2.42 % (3842171)Instructions burned: 35 (million)
% 10.19/2.42 % (3842166)Instruction limit reached!
% 10.19/2.42 % (3842166)------------------------------
% 10.19/2.42 % (3842166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.42 % (3842166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.42 % (3842166)CaDiCaL version: 2.1.3
% 10.19/2.42 % (3842166)Termination reason: Instruction limit
% 10.19/2.42 % (3842166)Termination phase: Saturation
% 10.19/2.42 % (3842166)Time elapsed: 0.166 s
% 10.19/2.42 % (3842166)Peak memory usage: 117 MB
% 10.19/2.42 % (3842166)Instructions burned: 127 (million)
% 10.19/2.42 % (3842173)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3144702355:i=2:fsr=off:rtra=on:inst=on_2989 on theBenchmark for (2989ds/2Mi)
% 10.19/2.42 % (3842173)Instruction limit reached!
% 10.19/2.42 % (3842173)------------------------------
% 10.19/2.42 % (3842173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.42 % (3842173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.42 % (3842173)CaDiCaL version: 2.1.3
% 10.19/2.42 % (3842173)Termination reason: Instruction limit
% 10.19/2.42 % (3842173)Termination phase: Saturation
% 10.19/2.42 % (3842173)Time elapsed: 0.004 s
% 10.19/2.42 % (3842173)Peak memory usage: 88 MB
% 10.19/2.42 % (3842173)Instructions burned: 2 (million)
% 10.19/2.42 % (3842155)Refutation found. Thanks to Tanya!
% 10.19/2.42 % SZS status Theorem for theBenchmark
% 10.19/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 10.19/2.42 % (3842155)------------------------------
% 10.19/2.42 % (3842155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.42 % (3842155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.42 % (3842155)CaDiCaL version: 2.1.3
% 10.19/2.42 % (3842155)Termination reason: Refutation
% 10.19/2.42 % (3842155)Time elapsed: 0.094 s
% 10.19/2.42 % (3842155)Peak memory usage: 134 MB
% 10.19/2.42 % (3842155)Instructions burned: 25 (million)
% 10.19/2.42 % (3842155)------------------------------
% 10.19/2.42 % (3842155)------------------------------
% 10.19/2.42 % (3842123)Success in time 1.318 s
% 10.19/2.42 % Vampire exiting
%------------------------------------------------------------------------------