%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT042_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:47:10 AM UTC 2026
% Result : Theorem 0.20s 1.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 18 unt; 0 typ; 2 def)
% Number of atoms : 141 ( 61 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 41 ~; 70 |; 8 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 125 ( 8 atm; 12 fun; 51 num; 54 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 88 !; 2 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f4,axiom,
! [X2: $int,X1: collection,X0: $int] :
( in(X0,add(X2,X1))
<=> ( in(X0,X1)
| ( X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f6,axiom,
! [X0: collection] : $greatereq(count(X0),0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f7,axiom,
! [X0: collection] :
( ( X0 = empty )
<=> ( count(X0) = 0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f8,axiom,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f13,conjecture,
? [X0: collection] : ( count(X0) = 3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f14,negated_conjecture,
~ ? [X0: collection] : ( count(X0) = 3 ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f16,plain,
! [X0: collection] : ~ $less(count(X0),0),
inference(theory_normalization,[],[f6]) ).
tff(f34,plain,
! [X0: collection] : ( count(X0) != 3 ),
inference(ennf_transformation,[],[f14]) ).
tff(f38,plain,
! [X2: $int,X1: collection,X0: $int] :
( ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) )
& ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f39,plain,
! [X2: $int,X1: collection,X0: $int] :
( ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) )
& ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) ) ),
inference(flattening,[],[f38]) ).
tff(f40,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X2,add(X0,X1))
| ( ~ in(X2,X1)
& ( X0 != X2 ) ) )
& ( in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,add(X0,X1)) ) ),
inference(rectify,[],[f39]) ).
tff(f45,plain,
! [X0: collection] :
( ( ( X0 = empty )
| ( count(X0) != 0 ) )
& ( ( count(X0) = 0 )
| ( empty != X0 ) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f46,plain,
! [X0: $int,X1: collection] :
( ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) )
& ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f52,plain,
! [X0: collection] : ( count(X0) != 3 ),
inference(cnf_transformation,[],[f34]) ).
tff(f53,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f54,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X2,add(X0,X1))
| ( X0 = X2 )
| in(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f62,plain,
! [X0: collection] : ~ $less(count(X0),0),
inference(cnf_transformation,[],[f16]) ).
tff(f63,plain,
! [X0: collection] :
( ( count(X0) = 0 )
| ( empty != X0 ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f66,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tff(f73,plain,
0 = count(empty),
inference(equality_resolution,[],[f63]) ).
tff(f76,plain,
! [X0: collection] : $less(0,$sum(count(X0),1)),
inference(evaluation,[],[f62]) ).
tff(f78,plain,
! [X0: collection,X1: $int] :
( ( 3 != $sum(count(X0),1) )
| in(X1,X0) ),
inference(constrained_superposition,[],[f52,f66]) ).
tff(f82,plain,
! [X0: collection,X1: $int] :
( ( count(X0) != 2 )
| in(X1,X0) ),
inference(cancellation,[],[f78]) ).
tff(f84,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( 2 != $sum(count(X0),1) )
| in(X2,add(X1,X0))
| in(X1,X0) ),
inference(constrained_superposition,[],[f82,f66]) ).
tff(f104,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( count(X0) != 1 )
| in(X1,X0)
| in(X2,add(X1,X0)) ),
inference(cancellation,[],[f84]) ).
tff(f106,plain,
! [X2: $int,X3: $int,X0: collection,X1: $int] :
( ( 1 != $sum(count(X0),1) )
| in(X3,add(X2,add(X1,X0)))
| in(X2,add(X1,X0))
| in(X1,X0) ),
inference(constrained_superposition,[],[f104,f66]) ).
tff(f162,plain,
! [X2: $int,X3: $int,X0: collection,X1: $int] :
( ( count(X0) != 0 )
| in(X1,X0)
| in(X3,add(X2,add(X1,X0)))
| in(X2,add(X1,X0)) ),
inference(cancellation,[],[f106]) ).
tff(f165,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X2,add(X0,empty))
| in(X0,empty)
| ( 0 != 0 )
| in(X1,add(X2,add(X0,empty))) ),
inference(constrained_superposition,[],[f162,f73]) ).
tff(f168,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X1,add(X2,add(X0,empty)))
| in(X0,empty)
| in(X2,add(X0,empty)) ),
inference(trivial_inequality_removal,[],[f165]) ).
tff(f169,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X2,add(X0,empty))
| in(X0,empty)
| in(X1,add(X0,empty))
| ( X1 = X2 ) ),
inference(resolution,[],[f168,f54]) ).
tff(f171,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X1,add(X0,empty))
| in(X0,empty)
| ( X1 = X2 )
| in(X2,empty)
| ( X0 = X2 ) ),
inference(resolution,[],[f169,f54]) ).
tff(f173,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X2,empty)
| ( X1 = X2 )
| in(X0,empty)
| ( X0 = X2 )
| ( X0 = X1 )
| in(X1,empty) ),
inference(resolution,[],[f171,f54]) ).
tff(f174,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X2,empty)
| ( X1 = X2 )
| ( X0 = X1 )
| in(X0,empty)
| ( X0 = X2 ) ),
inference(resolution,[],[f173,f53]) ).
tff(f179,plain,
! [X2: $int,X0: $int,X1: $int] :
( in(X2,empty)
| ( X1 = X2 )
| ( X0 = X1 )
| ( X0 = X2 ) ),
inference(resolution,[],[f174,f53]) ).
tff(f182,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( X0 = X2 ) ),
inference(resolution,[],[f179,f53]) ).
tff(f183,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( 3 != X0 )
| ( count(X1) = X2 )
| ( X0 = X2 ) ),
inference(constrained_superposition,[],[f52,f182]) ).
tff(f254,plain,
! [X0: collection,X1: $int] :
( ( count(X0) = X1 )
| ( 3 = X1 ) ),
inference(equality_resolution,[],[f183]) ).
tff(f309,plain,
! [X0: collection] :
( ( count(X0) = 0 )
| ( 3 = count(empty) ) ),
inference(constrained_superposition,[],[f73,f254]) ).
tff(f318,plain,
! [X0: collection,X1: collection] :
( ( $sum(count(X1),1) = 3 )
| $less(0,count(X0)) ),
inference(constrained_superposition,[],[f76,f254]) ).
tff(f403,plain,
! [X0: collection] :
( ( 0 = 3 )
| ( count(X0) = 0 ) ),
inference(forward_demodulation,[],[f309,f73]) ).
tff(f404,plain,
! [X0: collection] : ( count(X0) = 0 ),
inference(evaluation,[],[f403]) ).
tff(f481,definition,
( spl0_43
<=> ! [X1: collection] : ( $sum(count(X1),1) = 3 ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
tff(f482,plain,
( ! [X1: collection] : ( $sum(count(X1),1) = 3 )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f484,definition,
( spl0_44
<=> ! [X0: collection] : $less(0,count(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
tff(f485,plain,
( ! [X0: collection] : $less(0,count(X0))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f484]) ).
tff(f486,plain,
( spl0_43
| spl0_44 ),
inference(avatar_split_clause,[],[f318,f484,f481]) ).
tff(f492,plain,
( ( 3 = $sum(0,1) )
| ~ spl0_43 ),
inference(forward_demodulation,[],[f482,f404]) ).
tff(f493,plain,
( $false
| ~ spl0_43 ),
inference(evaluation,[],[f492]) ).
tff(f494,plain,
~ spl0_43,
inference(avatar_contradiction_clause,[],[f493]) ).
tff(f497,plain,
( $less(0,0)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f485,f404]) ).
tff(f498,plain,
( $false
| ~ spl0_44 ),
inference(evaluation,[],[f497]) ).
tff(f499,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f498]) ).
cnf(s33,plain,
( spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f486]) ).
cnf(s35,plain,
~ spl0_43,
inference(sat_conversion,[],[f494]) ).
cnf(s36,plain,
~ spl0_44,
inference(sat_conversion,[],[f499]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s33,s36,s35]) ).
tff(f503,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT042_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n001.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 : Tue Sep 29 00:12:04 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
% 3.50/1.21 % (871266)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.50/1.21 % (871274)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=225543651:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.50/1.21 % (871274)Instruction limit reached!
% 3.50/1.21 % (871274)------------------------------
% 3.50/1.21 % (871274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871274)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871274)Termination reason: Instruction limit
% 3.50/1.21 % (871274)Termination phase: Saturation
% 3.50/1.21 % (871274)Time elapsed: 0.004 s
% 3.50/1.21 % (871274)Peak memory usage: 88 MB
% 3.50/1.21 % (871274)Instructions burned: 10 (million)
% 3.50/1.21 % (871276)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=331127886:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.50/1.21 % (871277)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=383767658:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.50/1.21 % (871271)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1654802509:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.50/1.21 % (871272)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1056828275:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.50/1.21 % (871275)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=48249315:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.50/1.21 % (871273)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1475502234:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.50/1.21 % (871275)Instruction limit reached!
% 3.50/1.21 % (871275)------------------------------
% 3.50/1.21 % (871275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871275)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871275)Termination reason: Instruction limit
% 3.50/1.21 % (871275)Termination phase: Saturation
% 3.50/1.21 % (871275)Time elapsed: 0.004 s
% 3.50/1.21 % (871275)Peak memory usage: 88 MB
% 3.50/1.21 % (871275)Instructions burned: 5 (million)
% 3.50/1.21 % (871271)Refutation not found, incomplete strategy
% 3.50/1.21 % (871271)------------------------------
% 3.50/1.21 % (871271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871271)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871271)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.21 % (871271)Time elapsed: 0.028 s
% 3.50/1.21 % (871271)Peak memory usage: 112 MB
% 3.50/1.21 % (871271)Instructions burned: 5 (million)
% 3.50/1.21 % (871277)Instruction limit reached!
% 3.50/1.21 % (871277)------------------------------
% 3.50/1.21 % (871277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871277)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871277)Termination reason: Instruction limit
% 3.50/1.21 % (871277)Termination phase: Saturation
% 3.50/1.21 % (871277)Time elapsed: 0.047 s
% 3.50/1.21 % (871277)Peak memory usage: 115 MB
% 3.50/1.21 % (871277)Instructions burned: 33 (million)
% 3.50/1.21 % (871276)Instruction limit reached!
% 3.50/1.21 % (871276)------------------------------
% 3.50/1.21 % (871276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871276)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871276)Termination reason: Instruction limit
% 3.50/1.21 % (871276)Termination phase: Saturation
% 3.50/1.21 % (871276)Time elapsed: 0.074 s
% 3.50/1.21 % (871276)Peak memory usage: 115 MB
% 3.50/1.21 % (871276)Instructions burned: 47 (million)
% 3.50/1.21 % (871279)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2227934463:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.50/1.21 % (871279)Instruction limit reached!
% 3.50/1.21 % (871279)------------------------------
% 3.50/1.21 % (871279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871279)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871279)Termination reason: Instruction limit
% 3.50/1.21 % (871279)Termination phase: Saturation
% 3.50/1.21 % (871279)Time elapsed: 0.006 s
% 3.50/1.21 % (871279)Peak memory usage: 88 MB
% 3.50/1.21 % (871279)Instructions burned: 16 (million)
% 3.50/1.21 % (871273)Instruction limit reached!
% 3.50/1.21 % (871273)------------------------------
% 3.50/1.21 % (871273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871273)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871273)Termination reason: Instruction limit
% 3.50/1.21 % (871273)Termination phase: Saturation
% 3.50/1.21 % (871273)Time elapsed: 0.130 s
% 3.50/1.21 % (871273)Peak memory usage: 113 MB
% 3.50/1.21 % (871273)Instructions burned: 202 (million)
% 3.50/1.21 % (871286)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=456110285:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.50/1.21 % (871286)Instruction limit reached!
% 3.50/1.21 % (871286)------------------------------
% 3.50/1.21 % (871286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871286)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871286)Termination reason: Instruction limit
% 3.50/1.21 % (871286)Termination phase: Saturation
% 3.50/1.21 % (871286)Time elapsed: 0.022 s
% 3.50/1.21 % (871286)Peak memory usage: 88 MB
% 3.50/1.21 % (871286)Instructions burned: 30 (million)
% 3.50/1.21 % (871290)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=513726100:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.50/1.21 % (871272)Instruction limit reached!
% 3.50/1.21 % (871272)------------------------------
% 3.50/1.21 % (871272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871272)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871272)Termination reason: Instruction limit
% 3.50/1.21 % (871272)Termination phase: Saturation
% 3.50/1.21 % (871272)Time elapsed: 0.203 s
% 3.50/1.21 % (871272)Peak memory usage: 117 MB
% 3.50/1.21 % (871272)Instructions burned: 307 (million)
% 3.50/1.21 % (871287)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3340163449:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.50/1.21 % (871290)First to succeed.
% 3.50/1.21 % (871290)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-871266"
% 3.50/1.21 % (871287)Instruction limit reached!
% 3.50/1.21 % (871287)------------------------------
% 3.50/1.21 % (871287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871287)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871287)Termination reason: Instruction limit
% 3.50/1.21 % (871287)Termination phase: Saturation
% 3.50/1.21 % (871287)Time elapsed: 0.011 s
% 3.50/1.21 % (871287)Peak memory usage: 90 MB
% 3.50/1.21 % (871287)Instructions burned: 16 (million)
% 3.50/1.21 % (871289)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4069548480:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.50/1.21 % (871289)Instruction limit reached!
% 3.50/1.21 % (871289)------------------------------
% 3.50/1.21 % (871289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (871289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (871289)CaDiCaL version: 2.1.3
% 3.50/1.21 % (871289)Termination reason: Instruction limit
% 3.50/1.21 % (871289)Termination phase: Saturation
% 3.50/1.21 % (871289)Time elapsed: 0.019 s
% 3.50/1.21 % (871289)Peak memory usage: 89 MB
% 3.50/1.21 % (871289)Instructions burned: 25 (million)
% 3.50/1.21 % (871291)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2577875743:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.50/1.21 % (871271)------------------------------
% 3.50/1.21 % (871271)------------------------------
% 3.50/1.21 % (871291)Instruction limit reached!
% 3.50/1.21 % (871291)------------------------------
% 0.20/1.40 % (871291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (871291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (871291)CaDiCaL version: 2.1.3
% 0.20/1.40 % (871291)Termination reason: Instruction limit
% 0.20/1.40 % (871291)Termination phase: Saturation
% 0.20/1.40 % (871291)Time elapsed: 0.050 s
% 0.20/1.40 % (871291)Peak memory usage: 89 MB
% 0.20/1.40 % (871291)Instructions burned: 85 (million)
% 0.20/1.40 % (871296)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3829104410:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 0.20/1.40 % (871293)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1905285429:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 0.20/1.40 % (871296)Refutation not found, incomplete strategy
% 0.20/1.40 % (871296)------------------------------
% 0.20/1.40 % (871296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (871296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (871296)CaDiCaL version: 2.1.3
% 0.20/1.40 % (871296)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.40 % (871296)Time elapsed: 0.001 s
% 0.20/1.40 % (871296)Peak memory usage: 88 MB
% 0.20/1.40 % (871293)Instruction limit reached!
% 0.20/1.40 % (871293)------------------------------
% 0.20/1.40 % (871293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (871293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (871293)CaDiCaL version: 2.1.3
% 0.20/1.40 % (871293)Termination reason: Instruction limit
% 0.20/1.40 % (871293)Termination phase: Saturation
% 0.20/1.40 % (871293)Time elapsed: 0.003 s
% 0.20/1.40 % (871293)Peak memory usage: 88 MB
% 0.20/1.40 % (871293)Instructions burned: 3 (million)
% 0.20/1.40 % (871290)Refutation found. Thanks to Tanya!
% 0.20/1.40 % SZS status Theorem for theBenchmark
% 0.20/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.40 % (871290)------------------------------
% 0.20/1.40 % (871290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (871290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (871290)CaDiCaL version: 2.1.3
% 0.20/1.40 % (871290)Termination reason: Refutation
% 0.20/1.40 % (871290)Time elapsed: 0.008 s
% 0.20/1.40 % (871290)Peak memory usage: 91 MB
% 0.20/1.40 % (871290)Instructions burned: 19 (million)
% 0.20/1.40 % (871290)------------------------------
% 0.20/1.40 % (871290)------------------------------
% 0.20/1.40 % (871266)Success in time 0.542 s
% 0.20/1.40 % Vampire exiting
%------------------------------------------------------------------------------