%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC442_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 0.20s 1.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 22 unt; 0 typ; 3 def)
% Number of atoms : 90 ( 45 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 78 ( 35 ~; 26 |; 8 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 302 ( 27 atm; 100 fun; 142 num; 33 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 : 8 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 21 ( 10 usr; 11 con; 0-2 aty)
% Number of variables : 33 ( 30 !; 3 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
'div:(Int*Int)>Int': ( $int * $int ) > $int ).
tff(func_def_1,type,
u0: ( $int * $int ) > $int ).
tff(func_def_2,type,
v0: $int ).
tff(func_def_3,type,
h0: $int ).
tff(func_def_4,type,
fast: $int > $int ).
tff(func_def_5,type,
g0: $int ).
tff(func_def_6,type,
small: $int > $int ).
tff(func_def_7,type,
f0: $int > $int ).
tff(func_def_15,type,
sK0: $int ).
tff(func_def_17,type,
2: $int > $int ).
tff(func_def_21,type,
'$inst2': $int ).
tff(f1,axiom,
! [X0: $int] : ( f0(X0) = $product(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,
h0 = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
! [X1: $int,X0: $int] :
( ( ~ $lesseq(X0,0)
=> ( u0(X0,X1) = f0(u0($difference(X0,1),X1)) ) )
& ( $lesseq(X0,0)
=> ( u0(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
v0 = u0(g0,h0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int] : ( small(X0) = 'div:(Int*Int)>Int'($difference($product(2,v0),2),$sum(1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X0: $int] : ( fast(X0) = 'div:(Int*Int)>Int'($difference($product(2,$product(2,$product(2,$sum(2,2)))),2),$sum(1,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,
? [X0: $int] :
( ( small(X0) != fast(X0) )
& ~ $less(X0,0) ),
inference(theory_normalization,[],[f9]) ).
tff(f11,plain,
! [X0: $int] : ( fast(X0) = 'div:(Int*Int)>Int'($sum($product(2,$product(2,$product(2,$sum(2,2)))),$uminus(2)),$sum(1,X0)) ),
inference(theory_normalization,[],[f7]) ).
tff(f12,plain,
! [X0: $int] : ( small(X0) = 'div:(Int*Int)>Int'($sum($product(2,v0),$uminus(2)),$sum(1,X0)) ),
inference(theory_normalization,[],[f6]) ).
tff(f13,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X0)
=> ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) )
& ( ~ $less(0,X0)
=> ( u0(X0,X1) = X1 ) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f32,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
=> ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) ) )
& ( ~ $less(0,X1)
=> ( u0(X1,X0) = X0 ) ) ),
inference(rectify,[],[f13]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( ( ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) )
& ( $less(0,X1)
| ( u0(X1,X0) = X0 ) ) ),
inference(ennf_transformation,[],[f32]) ).
tff(f34,plain,
( ( small(sK0) != fast(sK0) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f10]) ).
tff(f35,plain,
g0 = 2,
inference(cnf_transformation,[],[f2]) ).
tff(f36,plain,
! [X0: $int] : ( f0(X0) = $product(X0,X0) ),
inference(cnf_transformation,[],[f1]) ).
tff(f37,plain,
! [X0: $int] : ( small(X0) = 'div:(Int*Int)>Int'($sum($product(2,v0),$uminus(2)),$sum(1,X0)) ),
inference(cnf_transformation,[],[f12]) ).
tff(f38,plain,
! [X0: $int] : ( fast(X0) = 'div:(Int*Int)>Int'($sum($product(2,$product(2,$product(2,$sum(2,2)))),$uminus(2)),$sum(1,X0)) ),
inference(cnf_transformation,[],[f11]) ).
tff(f39,plain,
2 = h0,
inference(cnf_transformation,[],[f3]) ).
tff(f41,plain,
small(sK0) != fast(sK0),
inference(cnf_transformation,[],[f34]) ).
tff(f42,plain,
v0 = u0(g0,h0),
inference(cnf_transformation,[],[f5]) ).
tff(f43,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = X0 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f44,plain,
! [X0: $int,X1: $int] :
( ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f45,plain,
'div:(Int*Int)>Int'($sum($product(2,v0),$uminus(2)),$sum(1,sK0)) != 'div:(Int*Int)>Int'($sum($product(2,$product(2,$product(2,$sum(2,2)))),$uminus(2)),$sum(1,sK0)),
inference(definition_unfolding,[],[f41,f37,f38]) ).
tff(f46,plain,
v0 = u0(2,2),
inference(definition_unfolding,[],[f42,f35,f39]) ).
tff(f47,plain,
! [X0: $int,X1: $int] :
( ( $product(u0($sum(X1,$uminus(1)),X0),u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) ),
inference(definition_unfolding,[],[f44,f36]) ).
tff(f49,plain,
'div:(Int*Int)>Int'(30,$sum(1,sK0)) != 'div:(Int*Int)>Int'($sum(-2,2(v0)),$sum(1,sK0)),
inference(evaluation,[],[f45]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( ( $product(u0($sum(-1,X1),X0),u0($sum(-1,X1),X0)) = u0(X1,X0) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f47]) ).
tff(f52,definition,
( spl1_1
<=> ( 'div:(Int*Int)>Int'(30,$sum(1,sK0)) = 'div:(Int*Int)>Int'($sum(-2,2(v0)),$sum(1,sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f54,plain,
( ( 'div:(Int*Int)>Int'(30,$sum(1,sK0)) != 'div:(Int*Int)>Int'($sum(-2,2(v0)),$sum(1,sK0)) )
| spl1_1 ),
inference(avatar_component_clause,[],[f52]) ).
tff(f55,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f49,f52]) ).
tff(f62,definition,
( spl1_3
<=> ( v0 = u0(2,2) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f64,plain,
( ( v0 = u0(2,2) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f65,plain,
spl1_3,
inference(avatar_split_clause,[],[f46,f62]) ).
tff(f66,plain,
( ( 'div:(Int*Int)>Int'($sum(-2,2(u0(2,2))),$sum(1,sK0)) != 'div:(Int*Int)>Int'(30,$sum(1,sK0)) )
| spl1_1
| ~ spl1_3 ),
inference(superposition,[],[f54,f64]) ).
tff(f68,definition,
( spl1_4
<=> ( 'div:(Int*Int)>Int'($sum(-2,2(u0(2,2))),$sum(1,sK0)) = 'div:(Int*Int)>Int'(30,$sum(1,sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f70,plain,
( ( 'div:(Int*Int)>Int'($sum(-2,2(u0(2,2))),$sum(1,sK0)) != 'div:(Int*Int)>Int'(30,$sum(1,sK0)) )
| spl1_4 ),
inference(avatar_component_clause,[],[f68]) ).
tff(f71,plain,
( ~ spl1_4
| spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f66,f62,f52,f68]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,X0) = u0(X1,X0) )
| ~ $less(0,X1)
| $less(0,$sum(-1,X1)) ),
inference(superposition,[],[f50,f43]) ).
tff(f93,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(-1,$sum(-1,X1)))
| ~ $less(0,X1)
| ( $product($product(X0,X0),$product(X0,X0)) = u0(X1,X0) )
| ~ $less(0,$sum(-1,X1)) ),
inference(superposition,[],[f50,f78]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = $product(X0,$product(X0,$product(X0,X0))) )
| $less(0,$sum(-2,X1))
| ~ $less(0,X1)
| ~ $less(0,$sum(-1,X1)) ),
inference(evaluation,[],[f93]) ).
tff(f111,plain,
( ~ $less(0,$sum(-1,2))
| $less(0,$sum(-2,2))
| ~ $less(0,2)
| ( 'div:(Int*Int)>Int'($sum(-2,2($product(2,$product(2,$product(2,2))))),$sum(1,sK0)) != 'div:(Int*Int)>Int'(30,$sum(1,sK0)) )
| spl1_4 ),
inference(superposition,[],[f70,f94]) ).
tff(f115,plain,
( $false
| spl1_4 ),
inference(evaluation,[],[f111]) ).
tff(f116,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f115]) ).
tff(f118,plain,
$false,
inference(avatar_smt_refutation,[],[f116,f71,f65,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC442_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 09:37:55 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.42/1.16 % (3843173)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.42/1.16 % (3843178)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4004625619:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.42/1.16 % (3843178)Instruction limit reached!
% 3.42/1.16 % (3843178)------------------------------
% 3.42/1.16 % (3843178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.16 % (3843178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.16 % (3843178)CaDiCaL version: 2.1.3
% 3.42/1.16 % (3843178)Termination reason: Instruction limit
% 3.42/1.16 % (3843178)Termination phase: Saturation
% 3.42/1.16 % (3843178)Time elapsed: 0.020 s
% 3.42/1.16 % (3843178)Peak memory usage: 116 MB
% 3.42/1.16 % (3843178)Instructions burned: 14 (million)
% 3.42/1.16 % (3843183)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2376808141:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.42/1.16 % (3843181)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2437636025:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.42/1.16 % (3843184)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=306383733:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.42/1.16 % (3843180)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4003541139:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.42/1.16 % (3843182)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1270795131:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.42/1.16 % (3843179)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=133686263:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.42/1.16 % (3843182)Instruction limit reached!
% 3.42/1.16 % (3843182)------------------------------
% 3.42/1.16 % (3843182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.16 % (3843182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.16 % (3843182)CaDiCaL version: 2.1.3
% 3.42/1.16 % (3843182)Termination reason: Instruction limit
% 3.42/1.16 % (3843182)Termination phase: Saturation
% 3.42/1.16 % (3843182)Time elapsed: 0.004 s
% 3.42/1.16 % (3843182)Peak memory usage: 88 MB
% 3.42/1.16 % (3843182)Instructions burned: 5 (million)
% 3.42/1.16 % (3843181)Instruction limit reached!
% 3.42/1.16 % (3843181)------------------------------
% 3.42/1.16 % (3843181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.16 % (3843181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.16 % (3843181)CaDiCaL version: 2.1.3
% 3.42/1.16 % (3843181)Termination reason: Instruction limit
% 3.42/1.16 % (3843181)Termination phase: Saturation
% 3.42/1.16 % (3843181)Time elapsed: 0.005 s
% 3.42/1.16 % (3843181)Peak memory usage: 88 MB
% 3.42/1.16 % (3843181)Instructions burned: 8 (million)
% 3.42/1.16 % (3843183)Instruction limit reached!
% 3.42/1.16 % (3843183)------------------------------
% 3.42/1.16 % (3843183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.16 % (3843183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.16 % (3843183)CaDiCaL version: 2.1.3
% 3.42/1.16 % (3843183)Termination reason: Instruction limit
% 3.42/1.16 % (3843183)Termination phase: Saturation
% 3.42/1.16 % (3843183)Time elapsed: 0.045 s
% 3.42/1.16 % (3843183)Peak memory usage: 114 MB
% 3.42/1.16 % (3843183)Instructions burned: 47 (million)
% 3.42/1.16 % (3843184)Instruction limit reached!
% 3.42/1.16 % (3843184)------------------------------
% 3.42/1.16 % (3843184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.16 % (3843184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.16 % (3843184)CaDiCaL version: 2.1.3
% 3.42/1.16 % (3843184)Termination reason: Instruction limit
% 3.42/1.16 % (3843184)Termination phase: Saturation
% 3.42/1.16 % (3843184)Time elapsed: 0.046 s
% 3.42/1.16 % (3843184)Peak memory usage: 116 MB
% 3.42/1.16 % (3843184)Instructions burned: 33 (million)
% 3.42/1.16 % (3843186)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=487338164:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.42/1.16 % (3843186)Instruction limit reached!
% 3.42/1.16 % (3843186)------------------------------
% 3.42/1.16 % (3843186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843186)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843186)Termination reason: Instruction limit
% 4.24/1.31 % (3843186)Termination phase: Saturation
% 4.24/1.31 % (3843186)Time elapsed: 0.005 s
% 4.24/1.31 % (3843186)Peak memory usage: 88 MB
% 4.24/1.31 % (3843186)Instructions burned: 17 (million)
% 4.24/1.31 % (3843179)Refutation not found, incomplete strategy
% 4.24/1.31 % (3843179)------------------------------
% 4.24/1.31 % (3843179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843179)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843179)Termination reason: Refutation not found, incomplete strategy
% 4.24/1.31 % (3843179)Time elapsed: 0.086 s
% 4.24/1.31 % (3843179)Peak memory usage: 116 MB
% 4.24/1.31 % (3843179)Instructions burned: 104 (million)
% 4.24/1.31 % (3843180)Instruction limit reached!
% 4.24/1.31 % (3843180)------------------------------
% 4.24/1.31 % (3843180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843180)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843180)Termination reason: Instruction limit
% 4.24/1.31 % (3843180)Termination phase: Saturation
% 4.24/1.31 % (3843180)Time elapsed: 0.140 s
% 4.24/1.31 % (3843180)Peak memory usage: 117 MB
% 4.24/1.31 % (3843180)Instructions burned: 203 (million)
% 4.24/1.31 % (3843193)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=3675505426:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.24/1.31 % (3843194)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=662210086:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.24/1.31 % (3843194)Instruction limit reached!
% 4.24/1.31 % (3843194)------------------------------
% 4.24/1.31 % (3843194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843194)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843194)Termination reason: Instruction limit
% 4.24/1.31 % (3843194)Termination phase: Saturation
% 4.24/1.31 % (3843194)Time elapsed: 0.010 s
% 4.24/1.31 % (3843194)Peak memory usage: 90 MB
% 4.24/1.31 % (3843194)Instructions burned: 17 (million)
% 4.24/1.31 % (3843193)Instruction limit reached!
% 4.24/1.31 % (3843193)------------------------------
% 4.24/1.31 % (3843193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843193)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843193)Termination reason: Instruction limit
% 4.24/1.31 % (3843193)Termination phase: Saturation
% 4.24/1.31 % (3843193)Time elapsed: 0.020 s
% 4.24/1.31 % (3843193)Peak memory usage: 88 MB
% 4.24/1.31 % (3843193)Instructions burned: 29 (million)
% 4.24/1.31 % (3843198)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3407150915:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.24/1.31 % (3843195)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4102001354:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.24/1.31 % (3843196)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=1253751795:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.24/1.31 % (3843198)Instruction limit reached!
% 4.24/1.31 % (3843198)------------------------------
% 4.24/1.31 % (3843198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843198)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843198)Termination reason: Instruction limit
% 4.24/1.31 % (3843198)Termination phase: Saturation
% 4.24/1.31 % (3843198)Time elapsed: 0.024 s
% 4.24/1.31 % (3843198)Peak memory usage: 89 MB
% 4.24/1.31 % (3843198)Instructions burned: 85 (million)
% 4.24/1.31 % (3843195)Instruction limit reached!
% 4.24/1.31 % (3843195)------------------------------
% 4.24/1.31 % (3843195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843195)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843195)Termination reason: Instruction limit
% 4.24/1.31 % (3843195)Termination phase: Saturation
% 4.24/1.31 % (3843195)Time elapsed: 0.018 s
% 4.24/1.31 % (3843195)Peak memory usage: 89 MB
% 4.24/1.31 % (3843195)Instructions burned: 24 (million)
% 4.24/1.31 % (3843196)Instruction limit reached!
% 4.24/1.31 % (3843196)------------------------------
% 4.24/1.31 % (3843196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843196)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843196)Termination reason: Instruction limit
% 4.24/1.31 % (3843196)Termination phase: Saturation
% 4.24/1.31 % (3843196)Time elapsed: 0.019 s
% 4.24/1.31 % (3843196)Peak memory usage: 89 MB
% 4.24/1.31 % (3843196)Instructions burned: 27 (million)
% 4.24/1.31 % (3843201)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=641201277:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 4.24/1.31 % (3843201)Instruction limit reached!
% 4.24/1.31 % (3843201)------------------------------
% 4.24/1.31 % (3843201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843201)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843201)Termination reason: Instruction limit
% 4.24/1.31 % (3843201)Termination phase: Saturation
% 4.24/1.31 % (3843201)Time elapsed: 0.003 s
% 4.24/1.31 % (3843201)Peak memory usage: 88 MB
% 4.24/1.31 % (3843201)Instructions burned: 3 (million)
% 4.24/1.31 % (3843207)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3487858087:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.24/1.31 % (3843202)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1482352549:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.24/1.31 % (3843204)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3825018512:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.24/1.31 % (3843204)Instruction limit reached!
% 4.24/1.31 % (3843204)------------------------------
% 4.24/1.31 % (3843204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843204)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843204)Termination reason: Instruction limit
% 4.24/1.31 % (3843204)Termination phase: Saturation
% 4.24/1.31 % (3843204)Time elapsed: 0.004 s
% 4.24/1.31 % (3843204)Peak memory usage: 89 MB
% 4.24/1.31 % (3843204)Instructions burned: 4 (million)
% 4.24/1.31 % (3843202)Refutation not found, incomplete strategy
% 4.24/1.31 % (3843202)------------------------------
% 4.24/1.31 % (3843202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843202)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843202)Termination reason: Refutation not found, incomplete strategy
% 4.24/1.31 % (3843202)Time elapsed: 0.019 s
% 4.24/1.31 % (3843202)Peak memory usage: 90 MB
% 4.24/1.31 % (3843202)Instructions burned: 26 (million)
% 4.24/1.31 % (3843207)First to succeed.
% 4.24/1.31 % (3843207)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3843173"
% 4.24/1.31 % (3843179)------------------------------
% 4.24/1.31 % (3843179)------------------------------
% 4.24/1.31 % (3843208)lrs+10_1_thi=all:si=on:fd=off:random_seed=122409728:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.24/1.31 % (3843209)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=1057287603:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.24/1.31 % (3843209)Instruction limit reached!
% 4.24/1.31 % (3843209)------------------------------
% 4.24/1.31 % (3843209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.31 % (3843209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.31 % (3843209)CaDiCaL version: 2.1.3
% 4.24/1.31 % (3843209)Termination reason: Instruction limit
% 0.20/1.50 % (3843209)Termination phase: Saturation
% 0.20/1.50 % (3843209)Time elapsed: 0.006 s
% 0.20/1.50 % (3843209)Peak memory usage: 89 MB
% 0.20/1.50 % (3843209)Instructions burned: 9 (million)
% 0.20/1.50 % (3843208)Instruction limit reached!
% 0.20/1.50 % (3843208)------------------------------
% 0.20/1.50 % (3843208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.50 % (3843208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.50 % (3843208)CaDiCaL version: 2.1.3
% 0.20/1.50 % (3843208)Termination reason: Instruction limit
% 0.20/1.50 % (3843208)Termination phase: Saturation
% 0.20/1.50 % (3843208)Time elapsed: 0.063 s
% 0.20/1.50 % (3843208)Peak memory usage: 116 MB
% 0.20/1.50 % (3843208)Instructions burned: 53 (million)
% 0.20/1.50 % (3843213)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3207236409:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 0.20/1.50 % (3843213)Instruction limit reached!
% 0.20/1.50 % (3843213)------------------------------
% 0.20/1.50 % (3843213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.50 % (3843213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.50 % (3843213)CaDiCaL version: 2.1.3
% 0.20/1.50 % (3843213)Termination reason: Instruction limit
% 0.20/1.50 % (3843213)Termination phase: Saturation
% 0.20/1.50 % (3843213)Time elapsed: 0.003 s
% 0.20/1.50 % (3843213)Peak memory usage: 90 MB
% 0.20/1.50 % (3843213)Instructions burned: 3 (million)
% 0.20/1.50 % (3843215)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2066522114:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 0.20/1.50 % (3843215)Instruction limit reached!
% 0.20/1.50 % (3843215)------------------------------
% 0.20/1.50 % (3843215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.50 % (3843215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.50 % (3843215)CaDiCaL version: 2.1.3
% 0.20/1.50 % (3843215)Termination reason: Instruction limit
% 0.20/1.50 % (3843215)Termination phase: Saturation
% 0.20/1.50 % (3843215)Time elapsed: 0.003 s
% 0.20/1.50 % (3843215)Peak memory usage: 89 MB
% 0.20/1.50 % (3843215)Instructions burned: 3 (million)
% 0.20/1.50 % (3843219)dis+10_1_si=on:random_seed=2744112270:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 0.20/1.50 % (3843218)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1499335422:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 0.20/1.50 % (3843207)Refutation found. Thanks to Tanya!
% 0.20/1.50 % SZS status Theorem for theBenchmark
% 0.20/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.50 % (3843207)------------------------------
% 0.20/1.50 % (3843207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.50 % (3843207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.50 % (3843207)CaDiCaL version: 2.1.3
% 0.20/1.50 % (3843207)Termination reason: Refutation
% 0.20/1.50 % (3843207)Time elapsed: 0.040 s
% 0.20/1.50 % (3843207)Peak memory usage: 134 MB
% 0.20/1.50 % (3843207)Instructions burned: 25 (million)
% 0.20/1.50 % (3843207)------------------------------
% 0.20/1.50 % (3843207)------------------------------
% 0.20/1.50 % (3843173)Success in time 0.649 s
% 0.20/1.50 % Vampire exiting
%------------------------------------------------------------------------------