%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT023_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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:47:07 AM UTC 2026
% Result : Theorem 2.82s 1.24s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 18 unt; 0 typ; 16 def)
% Number of atoms : 170 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 166 ( 67 ~; 51 |; 21 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 108 ( 19 atm; 0 fun; 58 num; 31 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 : 18 ( 14 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 9 usr; 11 con; 0-2 aty)
% Number of variables : 51 ( 45 !; 6 ?; 51 :)
% 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_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: collection ).
tff(func_def_11,type,
sK2: $int ).
tff(func_def_12,type,
sF3: collection ).
tff(func_def_13,type,
sF4: collection ).
tff(func_def_14,type,
sF5: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f3,axiom,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f5,axiom,
! [X0: $int,X2: $int,X1: collection] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f6,conjecture,
! [X1: collection,X0: collection] :
( ( ( X0 = remove(4,remove(1,remove(2,X1))) )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f7,negated_conjecture,
~ ! [X1: collection,X0: collection] :
( ( ( X0 = remove(4,remove(1,remove(2,X1))) )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,2) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
~ ! [X1: collection,X0: collection] :
( ( ( X0 = remove(4,remove(1,remove(2,X1))) )
& ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $less(2,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f22,plain,
~ ! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X0)
=> $less(0,X2) )
& ( remove(4,remove(1,remove(2,X0))) = X1 ) )
=> ! [X3: $int] :
( in(X3,X1)
=> $less(2,X3) ) ),
inference(rectify,[],[f8]) ).
tff(f23,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( in(X0,X2)
& ( X0 != X1 ) )
<=> in(X0,remove(X1,X2)) ),
inference(rectify,[],[f5]) ).
tff(f24,plain,
? [X1: collection,X0: collection] :
( ? [X3: $int] :
( in(X3,X1)
& ~ $less(2,X3) )
& ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ( remove(4,remove(1,remove(2,X0))) = X1 ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f25,plain,
? [X0: collection,X1: collection] :
( ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ? [X3: $int] :
( in(X3,X1)
& ~ $less(2,X3) )
& ( remove(4,remove(1,remove(2,X0))) = X1 ) ),
inference(flattening,[],[f24]) ).
tff(f30,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( ( in(X0,X2)
& ( X0 != X1 ) )
| ~ in(X0,remove(X1,X2)) )
& ( in(X0,remove(X1,X2))
| ~ in(X0,X2)
| ( X0 = X1 ) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f31,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( ( in(X0,X2)
& ( X0 != X1 ) )
| ~ in(X0,remove(X1,X2)) )
& ( in(X0,remove(X1,X2))
| ~ in(X0,X2)
| ( X0 = X1 ) ) ),
inference(flattening,[],[f30]) ).
tff(f32,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( ( in(X1,X0)
& ( X1 != X2 ) )
| ~ in(X1,remove(X2,X0)) )
& ( in(X1,remove(X2,X0))
| ~ in(X1,X0)
| ( X1 = X2 ) ) ),
inference(rectify,[],[f31]) ).
tff(f33,plain,
( ! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) )
& in(sK2,sK1)
& ~ $less(2,sK2)
& ( sK1 = remove(4,remove(1,remove(2,sK0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2)],[f25]) ).
tff(f39,plain,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
inference(cnf_transformation,[],[f3]) ).
tff(f42,plain,
! [X2: $int,X0: collection,X1: $int] :
( ~ in(X1,remove(X2,X0))
| in(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
tff(f43,plain,
sK1 = remove(4,remove(1,remove(2,sK0))),
inference(cnf_transformation,[],[f33]) ).
tff(f44,plain,
~ $less(2,sK2),
inference(cnf_transformation,[],[f33]) ).
tff(f45,plain,
in(sK2,sK1),
inference(cnf_transformation,[],[f33]) ).
tff(f46,plain,
! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) ),
inference(cnf_transformation,[],[f33]) ).
tff(f49,definition,
sF3 = remove(2,sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f50,plain,
remove(2,sK0) = sF3,
inference(reorient_equations,[],[f49]) ).
tff(f51,definition,
sF4 = remove(1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f52,plain,
remove(1,sF3) = sF4,
inference(reorient_equations,[],[f51]) ).
tff(f53,definition,
sF5 = remove(4,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f54,plain,
sK1 = sF5,
inference(definition_folding,[],[f43,f53,f52,f50]) ).
tff(f56,definition,
( spl6_1
<=> ( remove(1,sF3) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f58,plain,
( ( remove(1,sF3) = sF4 )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f56]) ).
tff(f59,plain,
spl6_1,
inference(avatar_split_clause,[],[f52,f56]) ).
tff(f61,definition,
( spl6_2
<=> ( remove(2,sK0) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f63,plain,
( ( remove(2,sK0) = sF3 )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f64,plain,
spl6_2,
inference(avatar_split_clause,[],[f50,f61]) ).
tff(f66,definition,
( spl6_3
<=> ( sF5 = remove(4,sF4) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f68,plain,
( ( sF5 = remove(4,sF4) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f69,plain,
spl6_3,
inference(avatar_split_clause,[],[f53,f66]) ).
tff(f71,definition,
( spl6_4
<=> ( sK1 = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
tff(f73,plain,
( ( sK1 = sF5 )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f74,plain,
spl6_4,
inference(avatar_split_clause,[],[f54,f71]) ).
tff(f76,definition,
( spl6_5
<=> in(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
tff(f78,plain,
( in(sK2,sK1)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f76]) ).
tff(f79,plain,
spl6_5,
inference(avatar_split_clause,[],[f45,f76]) ).
tff(f81,definition,
( spl6_6
<=> $less(2,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
tff(f84,plain,
~ spl6_6,
inference(avatar_split_clause,[],[f44,f81]) ).
tff(f85,plain,
( in(sK2,sF5)
| ~ spl6_4
| ~ spl6_5 ),
inference(superposition,[],[f78,f73]) ).
tff(f87,definition,
( spl6_7
<=> in(sK2,sF5) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
tff(f89,plain,
( in(sK2,sF5)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f90,plain,
( spl6_7
| ~ spl6_4
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f85,f76,f71,f87]) ).
tff(f91,plain,
( ~ in(1,sF4)
| ~ spl6_1 ),
inference(superposition,[],[f39,f58]) ).
tff(f93,definition,
( spl6_8
<=> in(1,sF4) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
tff(f96,plain,
( ~ spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f91,f56,f93]) ).
tff(f97,plain,
( ~ in(2,sF3)
| ~ spl6_2 ),
inference(superposition,[],[f39,f63]) ).
tff(f99,definition,
( spl6_9
<=> in(2,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
tff(f102,plain,
( ~ spl6_9
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f97,f61,f99]) ).
tff(f129,plain,
( ! [X0: $int] :
( ~ in(X0,sF4)
| in(X0,sF3) )
| ~ spl6_1 ),
inference(superposition,[],[f42,f58]) ).
tff(f130,plain,
( ! [X0: $int] :
( ~ in(X0,sF3)
| in(X0,sK0) )
| ~ spl6_2 ),
inference(superposition,[],[f42,f63]) ).
tff(f131,plain,
( ! [X0: $int] :
( ~ in(X0,sF5)
| in(X0,sF4) )
| ~ spl6_3 ),
inference(superposition,[],[f42,f68]) ).
tff(f152,plain,
( in(sK2,sF4)
| ~ spl6_3
| ~ spl6_7 ),
inference(resolution,[],[f131,f89]) ).
tff(f154,definition,
( spl6_11
<=> in(sK2,sF4) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
tff(f156,plain,
( in(sK2,sF4)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f154]) ).
tff(f157,plain,
( spl6_11
| ~ spl6_3
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f152,f87,f66,f154]) ).
tff(f173,plain,
( in(sK2,sF3)
| ~ spl6_1
| ~ spl6_11 ),
inference(resolution,[],[f156,f129]) ).
tff(f175,definition,
( spl6_12
<=> in(sK2,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
tff(f177,plain,
( in(sK2,sF3)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f175]) ).
tff(f178,plain,
( spl6_12
| ~ spl6_1
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f173,f154,f56,f175]) ).
tff(f201,plain,
( in(sK2,sK0)
| ~ spl6_2
| ~ spl6_12 ),
inference(resolution,[],[f177,f130]) ).
tff(f203,definition,
( spl6_13
<=> in(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
tff(f205,plain,
( in(sK2,sK0)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f203]) ).
tff(f206,plain,
( spl6_13
| ~ spl6_2
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f201,f175,f61,f203]) ).
tff(f209,plain,
( $less(0,sK2)
| ~ spl6_13 ),
inference(resolution,[],[f205,f46]) ).
tff(f211,definition,
( spl6_14
<=> $less(0,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
tff(f214,plain,
( spl6_14
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f209,f203,f211]) ).
tff(f215,plain,
$false,
inference(avatar_smt_refutation,[],[f214,f206,f178,f157,f102,f96,f90,f84,f79,f74,f69,f64,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT023_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:05:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.82/1.24 % (912082)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.82/1.24 % (912181)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4165774297:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.82/1.24 % (912181)Instruction limit reached!
% 2.82/1.24 % (912181)------------------------------
% 2.82/1.24 % (912181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912181)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912181)Termination reason: Instruction limit
% 2.82/1.24 % (912181)Termination phase: Saturation
% 2.82/1.24 % (912181)Time elapsed: 0.020 s
% 2.82/1.24 % (912181)Peak memory usage: 115 MB
% 2.82/1.24 % (912181)Instructions burned: 14 (million)
% 2.82/1.24 % (912184)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1620779253:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.82/1.24 % (912183)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1835414510:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.82/1.24 % (912182)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3568474880:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.82/1.24 % (912186)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3179737130:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.82/1.24 % (912184)Instruction limit reached!
% 2.82/1.24 % (912184)------------------------------
% 2.82/1.24 % (912184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912184)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912184)Termination reason: Instruction limit
% 2.82/1.24 % (912184)Termination phase: Saturation
% 2.82/1.24 % (912184)Time elapsed: 0.006 s
% 2.82/1.24 % (912184)Peak memory usage: 88 MB
% 2.82/1.24 % (912184)Instructions burned: 7 (million)
% 2.82/1.24 % (912187)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1684689289:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.82/1.24 % (912186)Refutation not found, incomplete strategy
% 2.82/1.24 % (912186)------------------------------
% 2.82/1.24 % (912186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912186)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912186)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.24 % (912186)Time elapsed: 0.033 s
% 2.82/1.24 % (912186)Peak memory usage: 115 MB
% 2.82/1.24 % (912186)Instructions burned: 11 (million)
% 2.82/1.24 % (912182)Refutation not found, incomplete strategy
% 2.82/1.24 % (912182)------------------------------
% 2.82/1.24 % (912182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912182)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912182)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.24 % (912182)Time elapsed: 0.034 s
% 2.82/1.24 % (912182)Peak memory usage: 115 MB
% 2.82/1.24 % (912182)Instructions burned: 13 (million)
% 2.82/1.24 % (912185)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2045473039:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.82/1.24 % (912185)Instruction limit reached!
% 2.82/1.24 % (912185)------------------------------
% 2.82/1.24 % (912185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912185)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912185)Termination reason: Instruction limit
% 2.82/1.24 % (912185)Termination phase: Saturation
% 2.82/1.24 % (912185)Time elapsed: 0.007 s
% 2.82/1.24 % (912185)Peak memory usage: 89 MB
% 2.82/1.24 % (912185)Instructions burned: 4 (million)
% 2.82/1.24 % (912187)First to succeed.
% 2.82/1.24 % (912187)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-912082"
% 2.82/1.24 % (912189)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2782464759:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.82/1.24 % (912189)Refutation not found, incomplete strategy
% 2.82/1.24 % (912189)------------------------------
% 2.82/1.24 % (912189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912189)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912189)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.24 % (912189)Time elapsed: 0.002 s
% 2.82/1.24 % (912189)Peak memory usage: 89 MB
% 2.82/1.24 % (912189)Instructions burned: 2 (million)
% 2.82/1.24 % (912183)Instruction limit reached!
% 2.82/1.24 % (912183)------------------------------
% 2.82/1.24 % (912183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912183)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912183)Termination reason: Instruction limit
% 2.82/1.24 % (912183)Termination phase: Saturation
% 2.82/1.24 % (912183)Time elapsed: 0.179 s
% 2.82/1.24 % (912183)Peak memory usage: 117 MB
% 2.82/1.24 % (912183)Instructions burned: 201 (million)
% 2.82/1.24 % (912194)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=341961302:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.82/1.24 % (912194)Instruction limit reached!
% 2.82/1.24 % (912194)------------------------------
% 2.82/1.24 % (912194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912194)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912194)Termination reason: Instruction limit
% 2.82/1.24 % (912194)Termination phase: Saturation
% 2.82/1.24 % (912194)Time elapsed: 0.032 s
% 2.82/1.24 % (912194)Peak memory usage: 88 MB
% 2.82/1.24 % (912194)Instructions burned: 29 (million)
% 2.82/1.24 % (912197)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1267956215:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 2.82/1.24 % (912197)Refutation not found, incomplete strategy
% 2.82/1.24 % (912197)------------------------------
% 2.82/1.24 % (912197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.24 % (912197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.24 % (912197)CaDiCaL version: 2.1.3
% 2.82/1.24 % (912197)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.24 % (912197)Time elapsed: 0.010 s
% 2.82/1.24 % (912197)Peak memory usage: 90 MB
% 2.82/1.24 % (912197)Instructions burned: 8 (million)
% 2.82/1.24 % (912189)------------------------------
% 2.82/1.24 % (912189)------------------------------
% 2.82/1.24 % (912186)------------------------------
% 2.82/1.24 % (912186)------------------------------
% 2.82/1.24 % (912182)------------------------------
% 2.82/1.24 % (912182)------------------------------
% 2.82/1.24 % (912187)Refutation found. Thanks to Tanya!
% 2.82/1.24 % SZS status Theorem for theBenchmark
% 2.82/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.52 % (912187)------------------------------
% 0.20/1.52 % (912187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.52 % (912187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.52 % (912187)CaDiCaL version: 2.1.3
% 0.20/1.52 % (912187)Termination reason: Refutation
% 0.20/1.52 % (912187)Time elapsed: 0.041 s
% 0.20/1.52 % (912187)Peak memory usage: 117 MB
% 0.20/1.52 % (912187)Instructions burned: 22 (million)
% 0.20/1.52 % (912187)------------------------------
% 0.20/1.52 % (912187)------------------------------
% 0.20/1.52 % (912082)Success in time 0.575 s
% 0.20/1.52 % Vampire exiting
%------------------------------------------------------------------------------