%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC474_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 : n013.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 01:04:00 PM UTC 2026
% Result : Theorem 5.88s 1.69s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 34 unt; 0 typ; 1 def)
% Number of atoms : 124 ( 71 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 98 ( 41 ~; 34 |; 12 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number arithmetic : 447 ( 41 atm; 224 fun; 115 num; 67 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 : 23 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 64 !; 3 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
v0: $int > $int ).
tff(func_def_1,type,
u1: ( $int * $int ) > $int ).
tff(func_def_2,type,
u0: ( $int * $int ) > $int ).
tff(func_def_3,type,
v1: $int > $int ).
tff(func_def_4,type,
h1: $int > $int ).
tff(func_def_5,type,
g1: $int ).
tff(func_def_6,type,
fast: $int > $int ).
tff(func_def_7,type,
g0: $int ).
tff(func_def_8,type,
h0: $int > $int ).
tff(func_def_9,type,
small: $int > $int ).
tff(func_def_10,type,
f0: $int > $int ).
tff(func_def_11,type,
f1: $int > $int ).
tff(func_def_19,type,
sK0: $int ).
tff(func_def_22,type,
'$inst2': $int ).
tff(f1,axiom,
! [X0: $int] : ( f0(X0) = $product($product(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,
! [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/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) = $sum($product(v0(X0),X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X0: $int] : ( f1(X0) = $product($product(X0,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7) ).
tff(f8,axiom,
g1 = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8) ).
tff(f9,axiom,
! [X0: $int] : ( h1(X0) = $product($product(X0,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9) ).
tff(f10,axiom,
! [X0: $int,X1: $int] :
( ( $lesseq(X0,0)
=> ( u1(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u1(X0,X1) = f1(u1($difference(X0,1),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_10) ).
tff(f11,axiom,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11) ).
tff(f12,axiom,
! [X0: $int] : ( fast(X0) = $sum($product(v1(X0),X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_12) ).
tff(f13,conjecture,
~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
tff(f14,negated_conjecture,
~ ~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
? [X0: $int] :
( ~ $less(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(theory_normalization,[],[f14]) ).
tff(f16,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(f17,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X0)
=> ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) )
& ( ~ $less(0,X0)
=> ( u1(X0,X1) = X1 ) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f36,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X1)
=> ( u0(X1,X0) = X0 ) )
& ( $less(0,X1)
=> ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) ) ) ),
inference(rectify,[],[f16]) ).
tff(f37,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
| ( u0(X1,X0) = X0 ) )
& ( ~ $less(0,X1)
| ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) ) ) ),
inference(ennf_transformation,[],[f36]) ).
tff(f38,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X0)
| ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) )
& ( $less(0,X0)
| ( u1(X0,X1) = X1 ) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f39,plain,
( ~ $less(sK0,0)
& ( fast(sK0) != small(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f40,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(rectify,[],[f37]) ).
tff(f41,plain,
! [X0: $int] : ( f0(X0) = $product($product(X0,X0),X0) ),
inference(cnf_transformation,[],[f1]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f43,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f44,plain,
! [X0: $int] : ( $product($product(X0,X0),X0) = f1(X0) ),
inference(cnf_transformation,[],[f7]) ).
tff(f45,plain,
fast(sK0) != small(sK0),
inference(cnf_transformation,[],[f39]) ).
tff(f47,plain,
! [X0: $int] : ( fast(X0) = $sum($product(v1(X0),X0),X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f48,plain,
! [X0: $int] : ( $product($product(X0,X0),X0) = h1(X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f49,plain,
! [X0: $int] : ( h0(X0) = X0 ),
inference(cnf_transformation,[],[f3]) ).
tff(f50,plain,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tff(f51,plain,
! [X0: $int] : ( small(X0) = $sum($product(v0(X0),X0),X0) ),
inference(cnf_transformation,[],[f6]) ).
tff(f52,plain,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
inference(cnf_transformation,[],[f11]) ).
tff(f53,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f55,plain,
1 = g1,
inference(cnf_transformation,[],[f8]) ).
tff(f56,plain,
g0 = 2,
inference(cnf_transformation,[],[f2]) ).
tff(f57,plain,
! [X0: $int] : ( v0(X0) = u0(2,h0(X0)) ),
inference(definition_unfolding,[],[f50,f56]) ).
tff(f58,plain,
! [X0: $int] : ( v1(X0) = u1(1,$product($product(X0,X0),X0)) ),
inference(definition_unfolding,[],[f52,f55,f48]) ).
tff(f59,plain,
! [X0: $int] : ( fast(X0) = $sum($product(u1(1,$product($product(X0,X0),X0)),X0),X0) ),
inference(definition_unfolding,[],[f47,f58]) ).
tff(f60,plain,
! [X0: $int] : ( small(X0) = $sum($product(u0(2,h0(X0)),X0),X0) ),
inference(definition_unfolding,[],[f51,f57]) ).
tff(f61,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = $product($product(u1($sum(X0,$uminus(1)),X1),u1($sum(X0,$uminus(1)),X1)),u1($sum(X0,$uminus(1)),X1)) )
| ~ $less(0,X0) ),
inference(definition_unfolding,[],[f43,f44]) ).
tff(f62,plain,
$sum($product(u1(1,$product($product(sK0,sK0),sK0)),sK0),sK0) != $sum($product(u0(2,h0(sK0)),sK0),sK0),
inference(definition_unfolding,[],[f45,f59,f60]) ).
tff(f63,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product($product(u0($sum(X0,$uminus(1)),X1),u0($sum(X0,$uminus(1)),X1)),u0($sum(X0,$uminus(1)),X1)) )
| ~ $less(0,X0) ),
inference(definition_unfolding,[],[f53,f41]) ).
tff(f65,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = $product(u1($sum(X0,-1),X1),$product(u1($sum(X0,-1),X1),u1($sum(X0,-1),X1))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f61]) ).
tff(f66,plain,
$sum(sK0,$product(sK0,u0(2,h0(sK0)))) != $sum(sK0,$product(sK0,u1(1,$product(sK0,$product(sK0,sK0))))),
inference(evaluation,[],[f62]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product(u0($sum(X0,-1),X1),$product(u0($sum(X0,-1),X1),u0($sum(X0,-1),X1))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f63]) ).
tff(f74,definition,
( spl1_2
<=> ( $sum(sK0,$product(sK0,u0(2,h0(sK0)))) = $sum(sK0,$product(sK0,u1(1,$product(sK0,$product(sK0,sK0))))) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f76,plain,
( ( $sum(sK0,$product(sK0,u0(2,h0(sK0)))) != $sum(sK0,$product(sK0,u1(1,$product(sK0,$product(sK0,sK0))))) )
| spl1_2 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f77,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f66,f74]) ).
tff(f84,plain,
! [X1: $int] :
( ( u1(0,X1) = X1 )
| $less(0,0) ),
inference(instantiation,[],[f42]) ).
tff(f85,plain,
! [X1: $int] : ( u1(0,X1) = X1 ),
inference(interpreted_simplification,[],[f84]) ).
tff(f91,plain,
! [X1: $int] :
( ( $product(u1($sum(1,-1),X1),$product(u1($sum(1,-1),X1),u1($sum(1,-1),X1))) = u1(1,X1) )
| ~ $less(0,1) ),
inference(instantiation,[],[f65]) ).
tff(f92,plain,
! [X1: $int] : ( $product(u1($sum(1,-1),X1),$product(u1($sum(1,-1),X1),u1($sum(1,-1),X1))) = u1(1,X1) ),
inference(interpreted_simplification,[],[f91]) ).
tff(f94,plain,
! [X1: $int] : ( u1(1,X1) = $product(u1(0,X1),$product(u1(0,X1),u1(0,X1))) ),
inference(evaluation,[],[f92]) ).
tff(f95,plain,
! [X1: $int] : ( $product(X1,$product(X1,X1)) = u1(1,X1) ),
inference(forward_demodulation,[],[f94,f85]) ).
tff(f133,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product(X1,$product(X1,X1)) )
| $less(0,$sum(X0,-1))
| ~ $less(0,X0) ),
inference(superposition,[],[f67,f54]) ).
tff(f156,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($sum(X0,-1),-1))
| ~ $less(0,$sum(X0,-1))
| ~ $less(0,X0)
| ( u0(X0,X1) = $product($product(X1,$product(X1,X1)),$product($product(X1,$product(X1,X1)),$product(X1,$product(X1,X1)))) ) ),
inference(superposition,[],[f67,f133]) ).
tff(f157,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product(X1,$product(X1,$product(X1,$product(X1,$product(X1,$product(X1,$product(X1,$product(X1,X1)))))))) )
| $less(0,$sum(X0,-2))
| ~ $less(0,$sum(X0,-1))
| ~ $less(0,X0) ),
inference(evaluation,[],[f156]) ).
tff(f203,plain,
( ( $sum(sK0,$product(sK0,$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),h0(sK0))))))))))) != $sum(sK0,$product(sK0,u1(1,$product(sK0,$product(sK0,sK0))))) )
| ~ $less(0,2)
| $less(0,$sum(2,-2))
| ~ $less(0,$sum(2,-1))
| spl1_2 ),
inference(superposition,[],[f76,f157]) ).
tff(f212,plain,
( ( $sum(sK0,$product(sK0,$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),h0(sK0))))))))))) != $sum(sK0,$product(sK0,u1(1,$product(sK0,$product(sK0,sK0))))) )
| spl1_2 ),
inference(evaluation,[],[f203]) ).
tff(f213,plain,
( ( $sum(sK0,$product(sK0,$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),h0(sK0))))))))))) != $sum(sK0,$product(sK0,$product($product(sK0,$product(sK0,sK0)),$product($product(sK0,$product(sK0,sK0)),$product(sK0,$product(sK0,sK0)))))) )
| spl1_2 ),
inference(forward_demodulation,[],[f212,f95]) ).
tff(f214,plain,
( ( $sum(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,sK0)))))))))) != $sum(sK0,$product(sK0,$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),$product(h0(sK0),h0(sK0))))))))))) )
| spl1_2 ),
inference(evaluation,[],[f213]) ).
tff(f215,plain,
( ( $sum(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,sK0)))))))))) != $sum(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,$product(sK0,sK0)))))))))) )
| spl1_2 ),
inference(forward_demodulation,[],[f214,f49]) ).
tff(f216,plain,
( $false
| spl1_2 ),
inference(trivial_inequality_removal,[],[f215]) ).
tff(f217,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f216]) ).
tff(f218,plain,
$false,
inference(avatar_smt_refutation,[],[f217,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC474_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n013.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 09:39:21 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.29 Running first-order theorem proving
% 0.27/0.29 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
% 5.08/1.52 % (1053253)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.08/1.52 % (1053269)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3456023659:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 5.08/1.52 % (1053269)Instruction limit reached!
% 5.08/1.52 % (1053269)------------------------------
% 5.08/1.52 % (1053269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.52 % (1053269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.52 % (1053269)CaDiCaL version: 2.1.3
% 5.08/1.52 % (1053269)Termination reason: Instruction limit
% 5.08/1.52 % (1053269)Termination phase: Saturation
% 5.08/1.52 % (1053269)Time elapsed: 0.037 s
% 5.08/1.52 % (1053269)Peak memory usage: 118 MB
% 5.08/1.52 % (1053269)Instructions burned: 34 (million)
% 5.08/1.52 % (1053266)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1669859171:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 5.08/1.52 % (1053265)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2827060521:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 5.08/1.52 % (1053267)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2347432585:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 5.08/1.52 % (1053267)Instruction limit reached!
% 5.08/1.52 % (1053267)------------------------------
% 5.08/1.52 % (1053267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.52 % (1053267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.52 % (1053267)CaDiCaL version: 2.1.3
% 5.08/1.52 % (1053267)Termination reason: Instruction limit
% 5.08/1.52 % (1053267)Termination phase: Saturation
% 5.08/1.52 % (1053267)Time elapsed: 0.005 s
% 5.08/1.52 % (1053267)Peak memory usage: 89 MB
% 5.08/1.52 % (1053267)Instructions burned: 4 (million)
% 5.08/1.52 % (1053266)Instruction limit reached!
% 5.08/1.52 % (1053266)------------------------------
% 5.08/1.52 % (1053266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.52 % (1053266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.52 % (1053266)CaDiCaL version: 2.1.3
% 5.08/1.52 % (1053266)Termination reason: Instruction limit
% 5.08/1.52 % (1053266)Termination phase: Saturation
% 5.08/1.52 % (1053266)Time elapsed: 0.007 s
% 5.08/1.52 % (1053266)Peak memory usage: 88 MB
% 5.08/1.52 % (1053266)Instructions burned: 7 (million)
% 5.08/1.52 % (1053264)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1296575326:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 5.08/1.52 % (1053263)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1803480134:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 5.08/1.52 % (1053268)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1398407623:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 5.08/1.52 % (1053263)Instruction limit reached!
% 5.08/1.52 % (1053263)------------------------------
% 5.08/1.52 % (1053263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.52 % (1053263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.52 % (1053263)CaDiCaL version: 2.1.3
% 5.08/1.52 % (1053263)Termination reason: Instruction limit
% 5.08/1.52 % (1053263)Termination phase: Saturation
% 5.08/1.52 % (1053263)Time elapsed: 0.043 s
% 5.08/1.52 % (1053263)Peak memory usage: 116 MB
% 5.08/1.52 % (1053263)Instructions burned: 12 (million)
% 5.08/1.52 % (1053268)Instruction limit reached!
% 5.08/1.52 % (1053268)------------------------------
% 5.08/1.52 % (1053268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.52 % (1053268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.52 % (1053268)CaDiCaL version: 2.1.3
% 5.08/1.52 % (1053268)Termination reason: Instruction limit
% 5.08/1.52 % (1053268)Termination phase: Saturation
% 5.08/1.52 % (1053268)Time elapsed: 0.073 s
% 5.08/1.52 % (1053268)Peak memory usage: 116 MB
% 5.08/1.52 % (1053268)Instructions burned: 47 (million)
% 5.08/1.52 % (1053273)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3017623471:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.08/1.52 % (1053273)Instruction limit reached!
% 5.08/1.52 % (1053273)------------------------------
% 5.88/1.68 % (1053273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.68 % (1053273)CaDiCaL version: 2.1.3
% 5.88/1.68 % (1053273)Termination reason: Instruction limit
% 5.88/1.68 % (1053273)Termination phase: Saturation
% 5.88/1.68 % (1053273)Time elapsed: 0.015 s
% 5.88/1.68 % (1053273)Peak memory usage: 88 MB
% 5.88/1.68 % (1053273)Instructions burned: 15 (million)
% 5.88/1.68 % (1053265)Instruction limit reached!
% 5.88/1.68 % (1053265)------------------------------
% 5.88/1.68 % (1053265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.68 % (1053265)CaDiCaL version: 2.1.3
% 5.88/1.68 % (1053265)Termination reason: Instruction limit
% 5.88/1.68 % (1053265)Termination phase: Saturation
% 5.88/1.68 % (1053265)Time elapsed: 0.220 s
% 5.88/1.68 % (1053265)Peak memory usage: 117 MB
% 5.88/1.68 % (1053265)Instructions burned: 202 (million)
% 5.88/1.68 % (1053280)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3855394436:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.88/1.68 % (1053279)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=3985815779:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.88/1.68 % (1053280)Instruction limit reached!
% 5.88/1.68 % (1053280)------------------------------
% 5.88/1.68 % (1053280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.68 % (1053280)CaDiCaL version: 2.1.3
% 5.88/1.68 % (1053280)Termination reason: Instruction limit
% 5.88/1.68 % (1053280)Termination phase: Saturation
% 5.88/1.68 % (1053280)Time elapsed: 0.014 s
% 5.88/1.68 % (1053280)Peak memory usage: 90 MB
% 5.88/1.68 % (1053280)Instructions burned: 16 (million)
% 5.88/1.68 % (1053284)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2417478438:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.88/1.68 % (1053279)Instruction limit reached!
% 5.88/1.68 % (1053279)------------------------------
% 5.88/1.68 % (1053279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.68 % (1053279)CaDiCaL version: 2.1.3
% 5.88/1.68 % (1053279)Termination reason: Instruction limit
% 5.88/1.68 % (1053279)Termination phase: Saturation
% 5.88/1.68 % (1053279)Time elapsed: 0.029 s
% 5.88/1.68 % (1053279)Peak memory usage: 88 MB
% 5.88/1.68 % (1053279)Instructions burned: 30 (million)
% 5.88/1.68 % (1053284)Instruction limit reached!
% 5.88/1.68 % (1053284)------------------------------
% 5.88/1.68 % (1053284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.68 % (1053284)CaDiCaL version: 2.1.3
% 5.88/1.68 % (1053284)Termination reason: Instruction limit
% 5.88/1.68 % (1053284)Termination phase: Saturation
% 5.88/1.68 % (1053284)Time elapsed: 0.015 s
% 5.88/1.68 % (1053284)Peak memory usage: 89 MB
% 5.88/1.68 % (1053284)Instructions burned: 25 (million)
% 5.88/1.68 % (1053264)Instruction limit reached!
% 5.88/1.68 % (1053264)------------------------------
% 5.88/1.68 % (1053264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.68 % (1053264)CaDiCaL version: 2.1.3
% 5.88/1.68 % (1053264)Termination reason: Instruction limit
% 5.88/1.68 % (1053264)Termination phase: Saturation
% 5.88/1.68 % (1053264)Time elapsed: 0.296 s
% 5.88/1.68 % (1053264)Peak memory usage: 118 MB
% 5.88/1.68 % (1053264)Instructions burned: 307 (million)
% 5.88/1.68 % (1053286)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=3809288756:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.88/1.68 % (1053286)Instruction limit reached!
% 5.88/1.68 % (1053286)------------------------------
% 5.88/1.68 % (1053286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.68 % (1053286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053286)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053286)Termination reason: Instruction limit
% 5.88/1.69 % (1053286)Termination phase: Saturation
% 5.88/1.69 % (1053286)Time elapsed: 0.029 s
% 5.88/1.69 % (1053286)Peak memory usage: 89 MB
% 5.88/1.69 % (1053286)Instructions burned: 28 (million)
% 5.88/1.69 % (1053289)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2479853365:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.88/1.69 % (1053292)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3324443606:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 5.88/1.69 % (1053292)Instruction limit reached!
% 5.88/1.69 % (1053292)------------------------------
% 5.88/1.69 % (1053292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053292)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053292)Termination reason: Instruction limit
% 5.88/1.69 % (1053292)Termination phase: Saturation
% 5.88/1.69 % (1053292)Time elapsed: 0.002 s
% 5.88/1.69 % (1053292)Peak memory usage: 88 MB
% 5.88/1.69 % (1053292)Instructions burned: 2 (million)
% 5.88/1.69 % (1053289)Instruction limit reached!
% 5.88/1.69 % (1053289)------------------------------
% 5.88/1.69 % (1053289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053289)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053289)Termination reason: Instruction limit
% 5.88/1.69 % (1053289)Termination phase: Saturation
% 5.88/1.69 % (1053289)Time elapsed: 0.082 s
% 5.88/1.69 % (1053289)Peak memory usage: 89 MB
% 5.88/1.69 % (1053289)Instructions burned: 85 (million)
% 5.88/1.69 % (1053298)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1731694692:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 5.88/1.69 % (1053295)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2134931791:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 5.88/1.69 % (1053297)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=998574754:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 5.88/1.69 % (1053297)Instruction limit reached!
% 5.88/1.69 % (1053297)------------------------------
% 5.88/1.69 % (1053297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053297)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053297)Termination reason: Instruction limit
% 5.88/1.69 % (1053297)Termination phase: Saturation
% 5.88/1.69 % (1053297)Time elapsed: 0.005 s
% 5.88/1.69 % (1053297)Peak memory usage: 89 MB
% 5.88/1.69 % (1053297)Instructions burned: 4 (million)
% 5.88/1.69 % (1053298)First to succeed.
% 5.88/1.69 % (1053298)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1053253"
% 5.88/1.69 % (1053295)Refutation not found, incomplete strategy
% 5.88/1.69 % (1053295)------------------------------
% 5.88/1.69 % (1053295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053295)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053295)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.69 % (1053295)Time elapsed: 0.066 s
% 5.88/1.69 % (1053295)Peak memory usage: 90 MB
% 5.88/1.69 % (1053295)Instructions burned: 67 (million)
% 5.88/1.69 % (1053299)lrs+10_1_thi=all:si=on:fd=off:random_seed=2286883864:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 5.88/1.69 % (1053309)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2640092118:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 5.88/1.69 % (1053309)Instruction limit reached!
% 5.88/1.69 % (1053309)------------------------------
% 5.88/1.69 % (1053309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053309)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053309)Termination reason: Instruction limit
% 5.88/1.69 % (1053309)Termination phase: Saturation
% 5.88/1.69 % (1053309)Time elapsed: 0.003 s
% 5.88/1.69 % (1053309)Peak memory usage: 88 MB
% 5.88/1.69 % (1053309)Instructions burned: 2 (million)
% 5.88/1.69 % (1053303)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=437222151:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 5.88/1.69 % (1053303)Instruction limit reached!
% 5.88/1.69 % (1053303)------------------------------
% 5.88/1.69 % (1053303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053303)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053303)Termination reason: Instruction limit
% 5.88/1.69 % (1053303)Termination phase: Saturation
% 5.88/1.69 % (1053303)Time elapsed: 0.010 s
% 5.88/1.69 % (1053303)Peak memory usage: 88 MB
% 5.88/1.69 % (1053303)Instructions burned: 8 (million)
% 5.88/1.69 % (1053299)Instruction limit reached!
% 5.88/1.69 % (1053299)------------------------------
% 5.88/1.69 % (1053299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053299)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053299)Termination reason: Instruction limit
% 5.88/1.69 % (1053299)Termination phase: Saturation
% 5.88/1.69 % (1053299)Time elapsed: 0.094 s
% 5.88/1.69 % (1053299)Peak memory usage: 116 MB
% 5.88/1.69 % (1053299)Instructions burned: 53 (million)
% 5.88/1.69 % (1053312)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2196909210:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.88/1.69 % (1053312)Instruction limit reached!
% 5.88/1.69 % (1053312)------------------------------
% 5.88/1.69 % (1053312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.69 % (1053312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.69 % (1053312)CaDiCaL version: 2.1.3
% 5.88/1.69 % (1053312)Termination reason: Instruction limit
% 5.88/1.69 % (1053312)Termination phase: Saturation
% 5.88/1.69 % (1053312)Time elapsed: 0.004 s
% 5.88/1.69 % (1053312)Peak memory usage: 89 MB
% 5.88/1.69 % (1053312)Instructions burned: 2 (million)
% 5.88/1.69 % (1053315)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=936582601:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 5.88/1.69 % (1053298)Refutation found. Thanks to Tanya!
% 5.88/1.69 % SZS status Theorem for theBenchmark
% 5.88/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/1.91 % (1053298)------------------------------
% 7.98/1.91 % (1053298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.91 % (1053298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.91 % (1053298)CaDiCaL version: 2.1.3
% 7.98/1.91 % (1053298)Termination reason: Refutation
% 7.98/1.91 % (1053298)Time elapsed: 0.061 s
% 7.98/1.91 % (1053298)Peak memory usage: 135 MB
% 7.98/1.91 % (1053298)Instructions burned: 37 (million)
% 7.98/1.91 % (1053298)------------------------------
% 7.98/1.91 % (1053298)------------------------------
% 7.98/1.91 % (1053253)Success in time 1.033 s
% 7.98/1.91 % Vampire exiting
%------------------------------------------------------------------------------