%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU325+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:52:53 PM UTC 2026
% Result : Theorem 15.22s 2.89s
% Output : Refutation 15.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 79 ( 29 unt; 2 def)
% Number of atoms : 170 ( 43 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 144 ( 53 ~; 48 |; 24 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( empty_carrier(X0)
<=> empty(the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_struct_0) ).
fof(f68,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f92,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f113,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_pre_topc) ).
fof(f195,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f292,axiom,
! [X0] :
? [X1] :
( element(X1,powerset(X0))
& empty(X1)
& relation(X1)
& function(X1)
& one_to_one(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1)
& natural(X1)
& finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_finset_1) ).
fof(f313,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f368,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f498,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
fof(f499,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set ) ) ),
inference(negated_conjecture,[status(cth)],[f498]) ).
fof(f511,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f658,plain,
! [X0] :
( ( empty_carrier(X0)
<=> empty(the_carrier(X0)) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f703,plain,
! [X0] :
( ! [X1] :
( ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f863,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f313]) ).
fof(f944,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f368]) ).
fof(f1113,plain,
? [X0] :
( ? [X1] :
( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set
& element(X1,powerset(powerset(the_carrier(X0)))) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f499]) ).
fof(f1114,plain,
? [X0] :
( ? [X1] :
( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set
& element(X1,powerset(powerset(the_carrier(X0)))) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(flattening,[],[f1113]) ).
fof(f1126,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f511]) ).
fof(f1340,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f658]) ).
fof(f1360,plain,
! [X0] :
( in(sK40(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f1361,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f1454,plain,
! [X2,X0,X1] :
( in(sK70(X0,X2),X0)
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f92]) ).
fof(f1542,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| union_of_subsets(the_carrier(X0),X1) = cast_as_carrier_subset(X0)
| ~ is_a_cover_of_carrier(X0,X1) ),
inference(cnf_transformation,[],[f703]) ).
fof(f1620,plain,
empty(empty_set),
inference(cnf_transformation,[],[f195]) ).
fof(f1847,plain,
! [X0] : empty(sK129(X0)),
inference(cnf_transformation,[],[f292]) ).
fof(f1848,plain,
! [X0] : element(sK129(X0),powerset(X0)),
inference(cnf_transformation,[],[f292]) ).
fof(f1894,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| union_of_subsets(X0,X1) = union(X1) ),
inference(cnf_transformation,[],[f863]) ).
fof(f2518,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f944]) ).
fof(f2736,plain,
element(sK368,powerset(powerset(the_carrier(sK367)))),
inference(cnf_transformation,[],[f1114]) ).
fof(f2737,plain,
empty_set = sK368,
inference(cnf_transformation,[],[f1114]) ).
fof(f2738,plain,
is_a_cover_of_carrier(sK367,sK368),
inference(cnf_transformation,[],[f1114]) ).
fof(f2739,plain,
one_sorted_str(sK367),
inference(cnf_transformation,[],[f1114]) ).
fof(f2740,plain,
~ empty_carrier(sK367),
inference(cnf_transformation,[],[f1114]) ).
fof(f2760,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f1126]) ).
fof(f2872,plain,
! [X0,X1] :
( ~ in(X1,X0)
| sK368 != X0 ),
inference(definition_unfolding,[],[f1361,f2737]) ).
fof(f2873,plain,
! [X0] :
( in(sK40(X0),X0)
| sK368 = X0 ),
inference(definition_unfolding,[],[f1360,f2737]) ).
fof(f2952,plain,
empty(sK368),
inference(definition_unfolding,[],[f1620,f2737]) ).
fof(f3373,plain,
! [X0] :
( ~ empty(X0)
| sK368 = X0 ),
inference(definition_unfolding,[],[f2760,f2737]) ).
fof(f3460,plain,
! [X1] : ~ in(X1,sK368),
inference(equality_resolution,[],[f2872]) ).
fof(f3492,plain,
! [X2,X0] :
( in(sK70(X0,X2),X0)
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f1454]) ).
fof(f3727,plain,
! [X0] :
( empty(the_carrier(X0))
| one_sorted_str(X0)
| empty_carrier(X0) ),
inference(consistent_polarity_flipping,[],[f1340]) ).
fof(f3859,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| one_sorted_str(X0)
| union_of_subsets(the_carrier(X0),X1) = cast_as_carrier_subset(X0)
| is_a_cover_of_carrier(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1542]) ).
fof(f3916,plain,
~ empty(sK368),
inference(consistent_polarity_flipping,[],[f2952]) ).
fof(f4065,plain,
! [X0] : ~ empty(sK129(X0)),
inference(consistent_polarity_flipping,[],[f1847]) ).
fof(f4459,plain,
! [X0] :
( one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(consistent_polarity_flipping,[],[f2518]) ).
fof(f4610,plain,
~ one_sorted_str(sK367),
inference(consistent_polarity_flipping,[],[f2739]) ).
fof(f4611,plain,
~ is_a_cover_of_carrier(sK367,sK368),
inference(consistent_polarity_flipping,[],[f2738]) ).
fof(f4623,plain,
! [X0] :
( empty(X0)
| sK368 = X0 ),
inference(consistent_polarity_flipping,[],[f3373]) ).
fof(f6352,plain,
! [X0] : sK129(X0) = sK368,
inference(resolution,[],[f4065,f4623]) ).
fof(f6633,plain,
! [X0] : element(sK368,powerset(X0)),
inference(forward_demodulation,[],[f1848,f6352]) ).
fof(f7400,plain,
the_carrier(sK367) = cast_as_carrier_subset(sK367),
inference(resolution,[],[f4459,f4610]) ).
fof(f11136,plain,
! [X0] : ~ in(X0,union(sK368)),
inference(resolution,[],[f3492,f3460]) ).
fof(f13640,plain,
! [X0] : union_of_subsets(X0,sK368) = union(sK368),
inference(resolution,[],[f1894,f6633]) ).
fof(f14440,plain,
sK368 = union(sK368),
inference(resolution,[],[f11136,f2873]) ).
fof(f14473,definition,
( spl373_528
<=> sK368 = union(sK368) ),
introduced(definition,[new_symbols(definition,[spl373_528])],[avatar_definition]) ).
fof(f14475,plain,
( sK368 = union(sK368)
| ~ spl373_528 ),
inference(avatar_component_clause,[],[f14473]) ).
fof(f15406,plain,
spl373_528,
inference(avatar_split_clause,[],[f14440,f14473]) ).
fof(f22625,definition,
( spl373_737
<=> sK368 = the_carrier(sK367) ),
introduced(definition,[new_symbols(definition,[spl373_737])],[avatar_definition]) ).
fof(f22626,plain,
( sK368 != the_carrier(sK367)
| spl373_737 ),
inference(avatar_component_clause,[],[f22625]) ).
fof(f22627,plain,
( sK368 = the_carrier(sK367)
| ~ spl373_737 ),
inference(avatar_component_clause,[],[f22625]) ).
fof(f24420,plain,
( one_sorted_str(sK367)
| union_of_subsets(the_carrier(sK367),sK368) = cast_as_carrier_subset(sK367)
| is_a_cover_of_carrier(sK367,sK368) ),
inference(resolution,[],[f3859,f2736]) ).
fof(f24433,plain,
( union_of_subsets(the_carrier(sK367),sK368) = cast_as_carrier_subset(sK367)
| is_a_cover_of_carrier(sK367,sK368) ),
inference(forward_subsumption_resolution,[],[f24420,f4610]) ).
fof(f24434,plain,
union_of_subsets(the_carrier(sK367),sK368) = cast_as_carrier_subset(sK367),
inference(forward_subsumption_resolution,[],[f24433,f4611]) ).
fof(f24435,plain,
the_carrier(sK367) = union_of_subsets(the_carrier(sK367),sK368),
inference(forward_demodulation,[],[f24434,f7400]) ).
fof(f42439,plain,
( empty(sK368)
| one_sorted_str(sK367)
| empty_carrier(sK367)
| ~ spl373_737 ),
inference(superposition,[],[f3727,f22627]) ).
fof(f42615,plain,
( one_sorted_str(sK367)
| empty_carrier(sK367)
| ~ spl373_737 ),
inference(forward_subsumption_resolution,[],[f42439,f3916]) ).
fof(f42665,plain,
( empty_carrier(sK367)
| ~ spl373_737 ),
inference(forward_subsumption_resolution,[],[f42615,f4610]) ).
fof(f42680,plain,
( $false
| ~ spl373_737 ),
inference(forward_subsumption_resolution,[],[f42665,f2740]) ).
fof(f42681,plain,
~ spl373_737,
inference(avatar_contradiction_clause,[],[f42680]) ).
fof(f43376,plain,
( ! [X0] : sK368 = union_of_subsets(X0,sK368)
| ~ spl373_528 ),
inference(forward_demodulation,[],[f13640,f14475]) ).
fof(f45930,plain,
( sK368 = the_carrier(sK367)
| ~ spl373_528 ),
inference(forward_demodulation,[],[f24435,f43376]) ).
fof(f45931,plain,
( $false
| ~ spl373_528
| spl373_737 ),
inference(forward_subsumption_resolution,[],[f45930,f22626]) ).
fof(f45932,plain,
( ~ spl373_528
| spl373_737 ),
inference(avatar_contradiction_clause,[],[f45931]) ).
cnf(s627,plain,
spl373_528,
inference(sat_conversion,[],[f15406]) ).
cnf(s1626,plain,
~ spl373_737,
inference(sat_conversion,[],[f42681]) ).
cnf(s1886,plain,
( ~ spl373_528
| spl373_737 ),
inference(sat_conversion,[],[f45932]) ).
cnf(s1891,plain,
~ spl373_528,
inference(rat,[],[s1886,s1626]) ).
cnf(s1944,plain,
$false,
inference(rat,[],[s627,s1891]) ).
fof(f45933,plain,
$false,
inference(avatar_sat_refutation,[],[s1944]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU325+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 28 04:43:32 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.22/2.89 % (1558481)Will run a generic schedule for satisfiability detection.
% 15.22/2.89 % (1558486)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2504352148_2999 on theBenchmark for (2999ds/0Mi)
% 15.22/2.89 % (1558490)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3045890968:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.22/2.89 % (1558487)% WARNING: option uhcvi not known.
% 15.22/2.89 % (1558488)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3079944834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.22/2.89 % (1558489)dis+10_1_sil=32000:sp=arity:random_seed=889066884:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.22/2.89 % (1558487)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1049298395:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.22/2.89 % (1558492)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4008752984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.22/2.89 % (1558491)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1652324544:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.22/2.89 % (1558490)Instruction limit reached!
% 15.22/2.89 % (1558490)------------------------------
% 15.22/2.89 % (1558490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558490)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558490)Termination reason: Instruction limit
% 15.22/2.89 % (1558490)Termination phase: Blocked clause elimination
% 15.22/2.89 % (1558490)Time elapsed: 0.104 s
% 15.22/2.89 % (1558490)Peak memory usage: 13 MB
% 15.22/2.89 % (1558490)Instructions burned: 119 (million)
% 15.22/2.89 % (1558489)Instruction limit reached!
% 15.22/2.89 % (1558489)------------------------------
% 15.22/2.89 % (1558489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558489)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558489)Termination reason: Instruction limit
% 15.22/2.89 % (1558489)Termination phase: Saturation
% 15.22/2.89 % (1558489)Time elapsed: 0.105 s
% 15.22/2.89 % (1558489)Peak memory usage: 14 MB
% 15.22/2.89 % (1558489)Instructions burned: 104 (million)
% 15.22/2.89 % (1558500)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2389608477:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.22/2.89 % (1558491)Instruction limit reached!
% 15.22/2.89 % (1558491)------------------------------
% 15.22/2.89 % (1558491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558491)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558491)Termination reason: Instruction limit
% 15.22/2.89 % (1558491)Termination phase: Saturation
% 15.22/2.89 % (1558491)Time elapsed: 0.129 s
% 15.22/2.89 % (1558491)Peak memory usage: 15 MB
% 15.22/2.89 % (1558491)Instructions burned: 132 (million)
% 15.22/2.89 % (1558501)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2631827095:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.22/2.89 % TRYING [1]
% 15.22/2.89 % TRYING [2]
% 15.22/2.89 % (1558492)Instruction limit reached!
% 15.22/2.89 % (1558492)------------------------------
% 15.22/2.89 % (1558492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558492)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558492)Termination reason: Instruction limit
% 15.22/2.89 % (1558492)Termination phase: Saturation
% 15.22/2.89 % (1558492)Time elapsed: 0.158 s
% 15.22/2.89 % (1558492)Peak memory usage: 15 MB
% 15.22/2.89 % (1558492)Instructions burned: 161 (million)
% 15.22/2.89 % (1558503)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=402542691:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.22/2.89 % (1558505)ott-21_1_sil=16000:fs=off:random_seed=2735068547:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 15.22/2.89 % TRYING [3]
% 15.22/2.89 % (1558501)Instruction limit reached!
% 15.22/2.89 % (1558501)------------------------------
% 15.22/2.89 % (1558501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558501)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558501)Termination reason: Instruction limit
% 15.22/2.89 % (1558501)Termination phase: Saturation
% 15.22/2.89 % (1558501)Time elapsed: 0.124 s
% 15.22/2.89 % (1558501)Peak memory usage: 15 MB
% 15.22/2.89 % (1558501)Instructions burned: 131 (million)
% 15.22/2.89 % (1558508)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2068211682:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 15.22/2.89 % TRYING [1]
% 15.22/2.89 % TRYING [2]
% 15.22/2.89 % (1558505)Instruction limit reached!
% 15.22/2.89 % (1558505)------------------------------
% 15.22/2.89 % (1558505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558505)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558505)Termination reason: Instruction limit
% 15.22/2.89 % (1558505)Termination phase: Saturation
% 15.22/2.89 % (1558505)Time elapsed: 0.166 s
% 15.22/2.89 % (1558505)Peak memory usage: 15 MB
% 15.22/2.89 % (1558505)Instructions burned: 180 (million)
% 15.22/2.89 % (1558510)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2856479069:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 15.22/2.89 % TRYING [3]
% 15.22/2.89 % TRYING [1]
% 15.22/2.89 % (1558500)Instruction limit reached!
% 15.22/2.89 % (1558500)------------------------------
% 15.22/2.89 % (1558500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558500)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558500)Termination reason: Instruction limit
% 15.22/2.89 % (1558500)Termination phase: Finite model building constraint generation
% 15.22/2.89 % (1558500)Time elapsed: 0.539 s
% 15.22/2.89 % (1558500)Peak memory usage: 29 MB
% 15.22/2.89 % (1558500)Instructions burned: 715 (million)
% 15.22/2.89 % (1558512)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=196919085:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 15.22/2.89 % TRYING [2]
% 15.22/2.89 % TRYING [4]
% 15.22/2.89 % (1558508)Instruction limit reached!
% 15.22/2.89 % (1558508)------------------------------
% 15.22/2.89 % (1558508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558508)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558508)Termination reason: Instruction limit
% 15.22/2.89 % (1558508)Termination phase: Saturation
% 15.22/2.89 % (1558508)Time elapsed: 0.477 s
% 15.22/2.89 % (1558508)Peak memory usage: 16 MB
% 15.22/2.89 % (1558508)Instructions burned: 477 (million)
% 15.22/2.89 % (1558503)Instruction limit reached!
% 15.22/2.89 % (1558503)------------------------------
% 15.22/2.89 % (1558503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558503)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558503)Termination reason: Instruction limit
% 15.22/2.89 % (1558503)Termination phase: Saturation
% 15.22/2.89 % (1558503)Time elapsed: 0.628 s
% 15.22/2.89 % (1558503)Peak memory usage: 20 MB
% 15.22/2.89 % (1558503)Instructions burned: 684 (million)
% 15.22/2.89 % (1558514)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1039567235:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 15.22/2.89 % (1558515)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1747225551:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 15.22/2.89 % (1558510)Instruction limit reached!
% 15.22/2.89 % (1558510)------------------------------
% 15.22/2.89 % (1558510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558510)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558510)Termination reason: Instruction limit
% 15.22/2.89 % (1558510)Termination phase: Finite model building constraint generation
% 15.22/2.89 % (1558510)Time elapsed: 0.729 s
% 15.22/2.89 % (1558510)Peak memory usage: 31 MB
% 15.22/2.89 % (1558510)Instructions burned: 865 (million)
% 15.22/2.89 % (1558518)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2555717292:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 15.22/2.89 % (1558515)Instruction limit reached!
% 15.22/2.89 % (1558515)------------------------------
% 15.22/2.89 % (1558515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558515)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558515)Termination reason: Instruction limit
% 15.22/2.89 % (1558515)Termination phase: Saturation
% 15.22/2.89 % (1558515)Time elapsed: 0.614 s
% 15.22/2.89 % (1558515)Peak memory usage: 20 MB
% 15.22/2.89 % (1558515)Instructions burned: 693 (million)
% 15.22/2.89 % (1558520)fmb+10_1_sil=64000:random_seed=2036745094:i=22061:nm=2:gsp=on_2985 on theBenchmark for (2985ds/22061Mi)
% 15.22/2.89 % (1558514)Instruction limit reached!
% 15.22/2.89 % (1558514)------------------------------
% 15.22/2.89 % (1558514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558514)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558514)Termination reason: Instruction limit
% 15.22/2.89 % (1558514)Termination phase: Finite model building constraint generation
% 15.22/2.89 % (1558514)Time elapsed: 0.801 s
% 15.22/2.89 % (1558514)Peak memory usage: 88 MB
% 15.22/2.89 % (1558514)Instructions burned: 889 (million)
% 15.22/2.89 % (1558522)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2096794056:i=9515:nm=5_2983 on theBenchmark for (2983ds/9515Mi)
% 15.22/2.89 % TRYING [1]
% 15.22/2.89 % TRYING [2]
% 15.22/2.89 % (1558512)Instruction limit reached!
% 15.22/2.89 % (1558512)------------------------------
% 15.22/2.89 % (1558512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558512)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558512)Termination reason: Instruction limit
% 15.22/2.89 % (1558512)Termination phase: Saturation
% 15.22/2.89 % (1558512)Time elapsed: 1.092 s
% 15.22/2.89 % (1558512)Peak memory usage: 28 MB
% 15.22/2.89 % (1558512)Instructions burned: 1180 (million)
% 15.22/2.89 % (1558524)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1677474829:fmbsr=1.7:i=920_2981 on theBenchmark for (2981ds/920Mi)
% 15.22/2.89 % (1558522)Cannot represent all propositional literals internally
% 15.22/2.89 % (1558522)Refutation not found, incomplete strategy
% 15.22/2.89 % (1558522)------------------------------
% 15.22/2.89 % (1558522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558522)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558522)Termination reason: Refutation not found, incomplete strategy
% 15.22/2.89 % (1558522)Time elapsed: 0.252 s
% 15.22/2.89 % (1558522)Peak memory usage: 17 MB
% 15.22/2.89 % (1558522)Instructions burned: 288 (million)
% 15.22/2.89 % (1558522)------------------------------
% 15.22/2.89 % (1558522)------------------------------
% 15.22/2.89 % (1558518)Instruction limit reached!
% 15.22/2.89 % (1558518)------------------------------
% 15.22/2.89 % (1558518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558518)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558518)Termination reason: Instruction limit
% 15.22/2.89 % (1558518)Termination phase: Saturation
% 15.22/2.89 % (1558518)Time elapsed: 0.756 s
% 15.22/2.89 % (1558518)Peak memory usage: 20 MB
% 15.22/2.89 % (1558518)Instructions burned: 879 (million)
% 15.22/2.89 % (1558527)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=891815458:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 15.22/2.89 % (1558526)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3362241536:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 15.22/2.89 % TRYING [8]
% 15.22/2.89 % TRYING [3]
% 15.22/2.89 % (1558487) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1558481-1558487"...
% 15.22/2.89 % (1558487)...printing done.
% 15.22/2.89 % (1558487)Refutation found. Thanks to Tanya!
% 15.22/2.89 % SZS status Theorem for theBenchmark
% 15.22/2.89 % SZS output start Proof for theBenchmark
% See solution above
% 15.22/2.89 % (1558487)------------------------------
% 15.22/2.89 % (1558487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.89 % (1558487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.89 % (1558487)CaDiCaL version: 2.1.3
% 15.22/2.89 % (1558487)Termination reason: Refutation
% 15.22/2.89 % (1558487)Time elapsed: 2.298 s
% 15.22/2.89 % (1558487)Peak memory usage: 34 MB
% 15.22/2.89 % (1558487)Instructions burned: 2361 (million)
% 15.22/2.89 % (1558481)Success in time 2.392 s
% 15.22/2.89 % Vampire exiting
%------------------------------------------------------------------------------