%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV091+1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:21:04 AM UTC 2026
% Result : Theorem 113.23s 17.42s
% Output : Refutation 113.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 95 ( 42 ~; 28 |; 8 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 52 ( 51 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f447,conjecture,
! [X0] :
( reachableState(X0)
=> v4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssertion) ).
fof(f448,negated_conjecture,
~ ! [X0] :
( reachableState(X0)
=> v4(X0) ),
inference(negated_conjecture,[status(cth)],[f447]) ).
fof(f449,axiom,
! [X0] :
( ~ v4(X0)
<=> v22287(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_2753) ).
fof(f450,axiom,
! [X0] :
( ~ v22287(X0)
<=> v22288(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_2752) ).
fof(f451,axiom,
! [X0] :
( v22288(X0)
<=> ( v22290(X0)
& v22314(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_5375) ).
fof(f452,axiom,
! [X0] :
( v22314(X0)
<=> ( v22292(X0,bitIndex0)
| v22292(X0,bitIndex1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1475) ).
fof(f453,axiom,
! [X0] :
( ~ v22290(X0)
<=> v22291(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_2751) ).
fof(f454,axiom,
! [X0] :
( v22291(X0)
<=> ( v22292(X0,bitIndex0)
& v22292(X0,bitIndex1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1474) ).
fof(f455,axiom,
! [X0] :
( v22292(X0,bitIndex0)
<=> v22293(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_8257) ).
fof(f456,axiom,
! [X0] :
( v22292(X0,bitIndex1)
<=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_8256) ).
fof(f457,axiom,
! [X0] :
( v22293(X0)
<=> ( v22295(X0)
& v22296(X0,bitIndex9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1473) ).
fof(f481,axiom,
! [X0] : ~ v22296(X0,bitIndex9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addZeroExtensionConstraint_8) ).
fof(f26767,plain,
! [X0] :
( ~ v4(X0)
=> v22287(X0) ),
inference(unused_predicate_definition_removal,[],[f449]) ).
fof(f26768,plain,
! [X0] :
( v22288(X0)
=> ~ v22287(X0) ),
inference(unused_predicate_definition_removal,[],[f450]) ).
fof(f26769,plain,
! [X0] :
( ( v22290(X0)
& v22314(X0) )
=> v22288(X0) ),
inference(unused_predicate_definition_removal,[],[f451]) ).
fof(f26770,plain,
! [X0] :
( ~ v22290(X0)
=> v22291(X0) ),
inference(unused_predicate_definition_removal,[],[f453]) ).
fof(f26771,plain,
! [X0] :
( v22291(X0)
=> ( v22292(X0,bitIndex0)
& v22292(X0,bitIndex1) ) ),
inference(unused_predicate_definition_removal,[],[f454]) ).
fof(f26772,plain,
! [X0] :
( ( v22292(X0,bitIndex0)
| v22292(X0,bitIndex1) )
=> v22314(X0) ),
inference(unused_predicate_definition_removal,[],[f452]) ).
fof(f27700,plain,
? [X0] :
( ~ v4(X0)
& reachableState(X0) ),
inference(ennf_transformation,[],[f448]) ).
fof(f27701,plain,
! [X0] :
( v22287(X0)
| v4(X0) ),
inference(ennf_transformation,[],[f26767]) ).
fof(f27702,plain,
! [X0] :
( ~ v22287(X0)
| ~ v22288(X0) ),
inference(ennf_transformation,[],[f26768]) ).
fof(f27703,plain,
! [X0] :
( v22288(X0)
| ~ v22290(X0)
| ~ v22314(X0) ),
inference(ennf_transformation,[],[f26769]) ).
fof(f27704,plain,
! [X0] :
( v22288(X0)
| ~ v22290(X0)
| ~ v22314(X0) ),
inference(flattening,[],[f27703]) ).
fof(f27705,plain,
! [X0] :
( v22314(X0)
| ( ~ v22292(X0,bitIndex0)
& ~ v22292(X0,bitIndex1) ) ),
inference(ennf_transformation,[],[f26772]) ).
fof(f27706,plain,
! [X0] :
( v22291(X0)
| v22290(X0) ),
inference(ennf_transformation,[],[f26770]) ).
fof(f27707,plain,
! [X0] :
( ( v22292(X0,bitIndex0)
& v22292(X0,bitIndex1) )
| ~ v22291(X0) ),
inference(ennf_transformation,[],[f26771]) ).
fof(f34825,plain,
~ v4(sK0),
inference(cnf_transformation,[],[f27700]) ).
fof(f34826,plain,
! [X0] :
( v22287(X0)
| v4(X0) ),
inference(cnf_transformation,[],[f27701]) ).
fof(f34827,plain,
! [X0] :
( ~ v22288(X0)
| ~ v22287(X0) ),
inference(cnf_transformation,[],[f27702]) ).
fof(f34828,plain,
! [X0] :
( ~ v22314(X0)
| ~ v22290(X0)
| v22288(X0) ),
inference(cnf_transformation,[],[f27704]) ).
fof(f34829,plain,
! [X0] :
( ~ v22292(X0,bitIndex1)
| v22314(X0) ),
inference(cnf_transformation,[],[f27705]) ).
fof(f34831,plain,
! [X0] :
( v22290(X0)
| v22291(X0) ),
inference(cnf_transformation,[],[f27706]) ).
fof(f34833,plain,
! [X0] :
( ~ v22291(X0)
| v22292(X0,bitIndex0) ),
inference(cnf_transformation,[],[f27707]) ).
fof(f34835,plain,
! [X0] :
( v22293(X0)
| ~ v22292(X0,bitIndex0) ),
inference(cnf_transformation,[],[f455]) ).
fof(f34836,plain,
! [X0] : v22292(X0,bitIndex1),
inference(cnf_transformation,[],[f456]) ).
fof(f34837,plain,
! [X0] :
( v22296(X0,bitIndex9)
| ~ v22293(X0) ),
inference(cnf_transformation,[],[f457]) ).
fof(f34894,plain,
! [X0] : ~ v22296(X0,bitIndex9),
inference(cnf_transformation,[],[f481]) ).
fof(f129642,plain,
! [X0] :
( v22288(X0)
| ~ v22287(X0) ),
inference(consistent_polarity_flipping,[],[f34827]) ).
fof(f129643,plain,
! [X0] :
( v22314(X0)
| ~ v22290(X0)
| ~ v22288(X0) ),
inference(consistent_polarity_flipping,[],[f34828]) ).
fof(f129645,plain,
! [X0] :
( v22292(X0,bitIndex1)
| ~ v22314(X0) ),
inference(consistent_polarity_flipping,[],[f34829]) ).
fof(f129646,plain,
! [X0] :
( ~ v22291(X0)
| ~ v22292(X0,bitIndex0) ),
inference(consistent_polarity_flipping,[],[f34833]) ).
fof(f129648,plain,
! [X0] :
( ~ v22293(X0)
| v22292(X0,bitIndex0) ),
inference(consistent_polarity_flipping,[],[f34835]) ).
fof(f129650,plain,
! [X0] : ~ v22292(X0,bitIndex1),
inference(consistent_polarity_flipping,[],[f34836]) ).
fof(f129653,plain,
! [X0] :
( v22296(X0,bitIndex9)
| v22293(X0) ),
inference(consistent_polarity_flipping,[],[f34837]) ).
fof(f267368,plain,
! [X0] : ~ v22314(X0),
inference(forward_subsumption_resolution,[],[f129645,f129650]) ).
fof(f267371,plain,
! [X0] : v22293(X0),
inference(forward_subsumption_resolution,[],[f129653,f34894]) ).
fof(f267372,plain,
! [X0] : v22292(X0,bitIndex0),
inference(backward_subsumption_resolution,[],[f129648,f267371]) ).
fof(f267374,plain,
! [X0] : ~ v22291(X0),
inference(backward_subsumption_resolution,[],[f129646,f267372]) ).
fof(f267375,plain,
! [X0] : v22290(X0),
inference(backward_subsumption_resolution,[],[f34831,f267374]) ).
fof(f317018,plain,
! [X0] :
( ~ v22290(X0)
| ~ v22288(X0) ),
inference(forward_subsumption_resolution,[],[f129643,f267368]) ).
fof(f317019,plain,
! [X0] : ~ v22288(X0),
inference(forward_subsumption_resolution,[],[f317018,f267375]) ).
fof(f317020,plain,
! [X0] : ~ v22287(X0),
inference(backward_subsumption_resolution,[],[f129642,f317019]) ).
fof(f317021,plain,
! [X0] : v4(X0),
inference(backward_subsumption_resolution,[],[f34826,f317020]) ).
fof(f317022,plain,
$false,
inference(backward_subsumption_resolution,[],[f34825,f317021]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV091+1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 % Computer : n009.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8046.5625MB
% 0.13/0.43 % OS : Linux 6.8.0-71-generic
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Sun Sep 27 11:28:45 UTC 2026
% 0.13/0.44 % CPUTime :
% 0.13/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.49 Running first-order model finding
% 0.16/0.49 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
% 31.83/5.86 % (1886131)Will run a generic schedule for satisfiability detection.
% 31.83/5.86 % (1886140)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2027300355:i=116_2990 on theBenchmark for (2990ds/116Mi)
% 31.83/5.86 % (1886137)% WARNING: option uhcvi not known.
% 31.83/5.86 % (1886136)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2444209219_2990 on theBenchmark for (2990ds/0Mi)
% 31.83/5.86 % (1886137)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1123871247:i=135531:add=off:rawr=on_2990 on theBenchmark for (2990ds/135531Mi)
% 31.83/5.86 % (1886138)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1464493911:i=88024:add=on:rawr=on_2990 on theBenchmark for (2990ds/88024Mi)
% 31.83/5.86 % (1886139)dis+10_1_sil=32000:sp=arity:random_seed=3431095110:i=103:fgj=on_2990 on theBenchmark for (2990ds/103Mi)
% 31.83/5.86 % (1886142)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=68638640:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2990 on theBenchmark for (2990ds/159Mi)
% 31.83/5.86 % (1886141)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=825374962:i=131_2990 on theBenchmark for (2990ds/131Mi)
% 31.83/5.86 % (1886140)Instruction limit reached!
% 31.83/5.86 % (1886140)------------------------------
% 31.83/5.86 % (1886140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.86 % (1886140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.86 % (1886140)CaDiCaL version: 2.1.3
% 31.83/5.86 % (1886140)Termination reason: Instruction limit
% 31.83/5.86 % (1886140)Termination phase: Preprocessing 2
% 31.83/5.86 % (1886140)Time elapsed: 0.091 s
% 31.83/5.86 % (1886140)Peak memory usage: 56 MB
% 31.83/5.86 % (1886140)Instructions burned: 116 (million)
% 31.83/5.86 % (1886150)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=748515208:i=714:nm=2_2989 on theBenchmark for (2989ds/714Mi)
% 31.83/5.86 % (1886139)Instruction limit reached!
% 31.83/5.86 % (1886139)------------------------------
% 31.83/5.86 % (1886139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.86 % (1886139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.86 % (1886139)CaDiCaL version: 2.1.3
% 31.83/5.86 % (1886139)Termination reason: Instruction limit
% 31.83/5.86 % (1886139)Termination phase: Unused predicate definition removal
% 31.83/5.86 % (1886139)Time elapsed: 0.135 s
% 31.83/5.86 % (1886139)Peak memory usage: 57 MB
% 31.83/5.86 % (1886139)Instructions burned: 103 (million)
% 31.83/5.86 % (1886141)Instruction limit reached!
% 31.83/5.86 % (1886141)------------------------------
% 31.83/5.86 % (1886141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.86 % (1886141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.86 % (1886141)CaDiCaL version: 2.1.3
% 31.83/5.86 % (1886141)Termination reason: Instruction limit
% 31.83/5.86 % (1886141)Termination phase: Unused predicate definition removal
% 31.83/5.86 % (1886141)Time elapsed: 0.166 s
% 31.83/5.86 % (1886141)Peak memory usage: 58 MB
% 31.83/5.86 % (1886141)Instructions burned: 132 (million)
% 31.83/5.86 % (1886152)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=537867797:i=131:bd=preordered:fsd=on_2988 on theBenchmark for (2988ds/131Mi)
% 31.83/5.86 % (1886142)Instruction limit reached!
% 31.83/5.86 % (1886142)------------------------------
% 31.83/5.86 % (1886142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.86 % (1886142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.86 % (1886142)CaDiCaL version: 2.1.3
% 31.83/5.86 % (1886142)Termination reason: Instruction limit
% 31.83/5.86 % (1886142)Termination phase: Preprocessing 2
% 31.83/5.86 % (1886142)Time elapsed: 0.196 s
% 31.83/5.86 % (1886142)Peak memory usage: 58 MB
% 31.83/5.86 % (1886142)Instructions burned: 160 (million)
% 31.83/5.86 % (1886153)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=2658269224:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2988 on theBenchmark for (2988ds/684Mi)
% 31.83/5.86 % (1886155)ott-21_1_sil=16000:fs=off:random_seed=2758772283:i=180:av=off:fsr=off_2988 on theBenchmark for (2988ds/180Mi)
% 31.83/5.86 % (1886152)Instruction limit reached!
% 31.83/5.86 % (1886152)------------------------------
% 31.83/5.86 % (1886152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.86 % (1886152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/13.42 % (1886152)CaDiCaL version: 2.1.3
% 85.93/13.42 % (1886152)Termination reason: Instruction limit
% 85.93/13.42 % (1886152)Termination phase: Unused predicate definition removal
% 85.93/13.42 % (1886152)Time elapsed: 0.168 s
% 85.93/13.42 % (1886152)Peak memory usage: 58 MB
% 85.93/13.42 % (1886152)Instructions burned: 131 (million)
% 85.93/13.42 % (1886158)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4162018934:i=477:bd=all_2986 on theBenchmark for (2986ds/477Mi)
% 85.93/13.42 % (1886155)Instruction limit reached!
% 85.93/13.42 % (1886155)------------------------------
% 85.93/13.42 % (1886155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/13.42 % (1886155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/13.42 % (1886155)CaDiCaL version: 2.1.3
% 85.93/13.42 % (1886155)Termination reason: Instruction limit
% 85.93/13.42 % (1886155)Termination phase: Naming
% 85.93/13.42 % (1886155)Time elapsed: 0.216 s
% 85.93/13.42 % (1886155)Peak memory usage: 59 MB
% 85.93/13.42 % (1886155)Instructions burned: 180 (million)
% 85.93/13.42 % (1886150)Instruction limit reached!
% 85.93/13.42 % (1886150)------------------------------
% 85.93/13.42 % (1886150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/13.42 % (1886150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/13.42 % (1886150)CaDiCaL version: 2.1.3
% 85.93/13.42 % (1886150)Termination reason: Instruction limit
% 85.93/13.42 % (1886150)Termination phase: Preprocessing 3
% 85.93/13.42 % (1886150)Time elapsed: 0.414 s
% 85.93/13.42 % (1886150)Peak memory usage: 89 MB
% 85.93/13.42 % (1886150)Instructions burned: 715 (million)
% 85.93/13.42 % (1886160)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3740679924:fmbsr=1.3:i=865:ins=25_2985 on theBenchmark for (2985ds/865Mi)
% 85.93/13.42 % (1886162)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3202360897:i=1179_2984 on theBenchmark for (2984ds/1179Mi)
% 85.93/13.42 % (1886153)Instruction limit reached!
% 85.93/13.42 % (1886153)------------------------------
% 85.93/13.42 % (1886153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/13.42 % (1886153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/13.42 % (1886153)CaDiCaL version: 2.1.3
% 85.93/13.42 % (1886153)Termination reason: Instruction limit
% 85.93/13.42 % (1886153)Termination phase: NewCNF
% 85.93/13.42 % (1886153)Time elapsed: 0.581 s
% 85.93/13.42 % (1886153)Peak memory usage: 63 MB
% 85.93/13.42 % (1886153)Instructions burned: 684 (million)
% 85.93/13.42 % (1886164)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3054605359:i=889:ins=1_2981 on theBenchmark for (2981ds/889Mi)
% 85.93/13.42 % (1886158)Instruction limit reached!
% 85.93/13.42 % (1886158)------------------------------
% 85.93/13.42 % (1886158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/13.42 % (1886158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/13.42 % (1886158)CaDiCaL version: 2.1.3
% 85.93/13.42 % (1886158)Termination reason: Instruction limit
% 85.93/13.42 % (1886158)Termination phase: Preprocessing 3
% 85.93/13.42 % (1886158)Time elapsed: 0.489 s
% 85.93/13.42 % (1886158)Peak memory usage: 71 MB
% 85.93/13.42 % (1886158)Instructions burned: 477 (million)
% 85.93/13.42 % (1886166)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=2389736708:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2980 on theBenchmark for (2980ds/692Mi)
% 85.93/13.42 % (1886162)Instruction limit reached!
% 85.93/13.42 % (1886162)------------------------------
% 85.93/13.42 % (1886162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/13.42 % (1886162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/13.42 % (1886162)CaDiCaL version: 2.1.3
% 85.93/13.42 % (1886162)Termination reason: Instruction limit
% 85.93/13.42 % (1886162)Termination phase: Property scanning
% 85.93/13.42 % (1886162)Time elapsed: 0.651 s
% 85.93/13.42 % (1886162)Peak memory usage: 99 MB
% 85.93/13.42 % (1886162)Instructions burned: 1180 (million)
% 85.93/13.42 % (1886168)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2650657699:i=879:kws=inv_precedence:fsr=off_2977 on theBenchmark for (2977ds/879Mi)
% 85.93/13.42 % (1886160)Instruction limit reached!
% 85.93/13.42 % (1886160)------------------------------
% 85.93/13.42 % (1886160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/13.42 % (1886160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886160)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886160)Termination reason: Instruction limit
% 56.02/17.38 % (1886160)Termination phase: Property scanning
% 56.02/17.38 % (1886160)Time elapsed: 0.862 s
% 56.02/17.38 % (1886160)Peak memory usage: 98 MB
% 56.02/17.38 % (1886160)Instructions burned: 866 (million)
% 56.02/17.38 % (1886170)fmb+10_1_sil=64000:random_seed=3380095199:i=22061:nm=2:gsp=on_2976 on theBenchmark for (2976ds/22061Mi)
% 56.02/17.38 % (1886166)Instruction limit reached!
% 56.02/17.38 % (1886166)------------------------------
% 56.02/17.38 % (1886166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886166)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886166)Termination reason: Instruction limit
% 56.02/17.38 % (1886166)Termination phase: NewCNF
% 56.02/17.38 % (1886166)Time elapsed: 0.583 s
% 56.02/17.38 % (1886166)Peak memory usage: 63 MB
% 56.02/17.38 % (1886166)Instructions burned: 692 (million)
% 56.02/17.38 % (1886172)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1473358255:i=9515:nm=5_2974 on theBenchmark for (2974ds/9515Mi)
% 56.02/17.38 % (1886164)Instruction limit reached!
% 56.02/17.38 % (1886164)------------------------------
% 56.02/17.38 % (1886164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886164)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886164)Termination reason: Instruction limit
% 56.02/17.38 % (1886164)Termination phase: Property scanning
% 56.02/17.38 % (1886164)Time elapsed: 0.903 s
% 56.02/17.38 % (1886164)Peak memory usage: 98 MB
% 56.02/17.38 % (1886164)Instructions burned: 890 (million)
% 56.02/17.38 % (1886168)Instruction limit reached!
% 56.02/17.38 % (1886168)------------------------------
% 56.02/17.38 % (1886168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886168)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886168)Termination reason: Instruction limit
% 56.02/17.38 % (1886168)Termination phase: Property scanning
% 56.02/17.38 % (1886168)Time elapsed: 0.503 s
% 56.02/17.38 % (1886168)Peak memory usage: 87 MB
% 56.02/17.38 % (1886168)Instructions burned: 880 (million)
% 56.02/17.38 % (1886175)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2710434542:i=5131_2972 on theBenchmark for (2972ds/5131Mi)
% 56.02/17.38 % (1886174)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1409908177:fmbsr=1.7:i=920_2972 on theBenchmark for (2972ds/920Mi)
% 56.02/17.38 % (1886174)Instruction limit reached!
% 56.02/17.38 % (1886174)------------------------------
% 56.02/17.38 % (1886174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886174)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886174)Termination reason: Instruction limit
% 56.02/17.38 % (1886174)Termination phase: Property scanning
% 56.02/17.38 % (1886174)Time elapsed: 0.931 s
% 56.02/17.38 % (1886174)Peak memory usage: 98 MB
% 56.02/17.38 % (1886174)Instructions burned: 921 (million)
% 56.02/17.38 % (1886178)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3619035956:i=1472:ins=7:fdi=8:gsp=on_2962 on theBenchmark for (2962ds/1472Mi)
% 56.02/17.38 % (1886178)Instruction limit reached!
% 56.02/17.38 % (1886178)------------------------------
% 56.02/17.38 % (1886178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886178)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886178)Termination reason: Instruction limit
% 56.02/17.38 % (1886178)Termination phase: Property scanning
% 56.02/17.38 % (1886178)Time elapsed: 1.322 s
% 56.02/17.38 % (1886178)Peak memory usage: 99 MB
% 56.02/17.38 % (1886178)Instructions burned: 1473 (million)
% 56.02/17.38 % (1886180)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3354836469:i=6324_2948 on theBenchmark for (2948ds/6324Mi)
% 56.02/17.38 % (1886175)Instruction limit reached!
% 56.02/17.38 % (1886175)------------------------------
% 56.02/17.38 % (1886175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886175)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886175)Termination reason: Instruction limit
% 56.02/17.38 % (1886175)Termination phase: Saturation
% 56.02/17.38 % (1886175)Time elapsed: 2.536 s
% 56.02/17.38 % (1886175)Peak memory usage: 132 MB
% 56.02/17.38 % (1886175)Instructions burned: 5131 (million)
% 56.02/17.38 % (1886182)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2156101688:fmbsr=2.30978:i=2174_2946 on theBenchmark for (2946ds/2174Mi)
% 56.02/17.38 % (1886182)Instruction limit reached!
% 56.02/17.38 % (1886182)------------------------------
% 56.02/17.38 % (1886182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886182)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886182)Termination reason: Instruction limit
% 56.02/17.38 % (1886182)Termination phase: Finite model building preprocessing
% 56.02/17.38 % (1886182)Time elapsed: 1.106 s
% 56.02/17.38 % (1886182)Peak memory usage: 124 MB
% 56.02/17.38 % (1886182)Instructions burned: 2176 (million)
% 56.02/17.38 % (1886184)ott-2_1_sil=16000:newcnf=on:random_seed=1040323071:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2934 on theBenchmark for (2934ds/869Mi)
% 56.02/17.38 % (1886184)Instruction limit reached!
% 56.02/17.38 % (1886184)------------------------------
% 56.02/17.38 % (1886184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886184)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886184)Termination reason: Instruction limit
% 56.02/17.38 % (1886184)Termination phase: Property scanning
% 56.02/17.38 % (1886184)Time elapsed: 0.503 s
% 56.02/17.38 % (1886184)Peak memory usage: 87 MB
% 56.02/17.38 % (1886184)Instructions burned: 871 (million)
% 56.02/17.38 % (1886186)ott+10_1_sil=32000:tgt=ground:random_seed=3773001084:i=5114:av=off_2929 on theBenchmark for (2929ds/5114Mi)
% 56.02/17.38 % Detected minimum model sizes of [1]
% 56.02/17.38 % Detected maximum model sizes of [2276]
% 56.02/17.38 % TRYING [1]
% 56.02/17.38 % Detected minimum model sizes of [1]
% 56.02/17.38 % Detected maximum model sizes of [2276]
% 56.02/17.38 % TRYING [20]
% 56.02/17.38 % Detected minimum model sizes of [1]
% 56.02/17.38 % Detected maximum model sizes of [2276]
% 56.02/17.38 % TRYING [1]
% 56.02/17.38 % TRYING [2]
% 56.02/17.38 % TRYING [2]
% 56.02/17.38 % TRYING [3]
% 56.02/17.38 % (1886186)Instruction limit reached!
% 56.02/17.38 % (1886186)------------------------------
% 56.02/17.38 % (1886186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886186)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886186)Termination reason: Instruction limit
% 56.02/17.38 % (1886186)Termination phase: Saturation
% 56.02/17.38 % (1886186)Time elapsed: 2.520 s
% 56.02/17.38 % (1886186)Peak memory usage: 164 MB
% 56.02/17.38 % (1886186)Instructions burned: 5116 (million)
% 56.02/17.38 % (1886188)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3259430096:i=54282_2903 on theBenchmark for (2903ds/54282Mi)
% 56.02/17.38 % (1886172)Instruction limit reached!
% 56.02/17.38 % (1886172)------------------------------
% 56.02/17.38 % (1886172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886172)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886172)Termination reason: Instruction limit
% 56.02/17.38 % (1886172)Termination phase: Finite model building constraint generation
% 56.02/17.38 % (1886172)Time elapsed: 7.658 s
% 56.02/17.38 % (1886172)Peak memory usage: 430 MB
% 56.02/17.38 % (1886172)Instructions burned: 9516 (million)
% 56.02/17.38 % (1886190)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3965449263:i=3512:aac=none_2896 on theBenchmark for (2896ds/3512Mi)
% 56.02/17.38 % TRYING [4]
% 56.02/17.38 % (1886180)Instruction limit reached!
% 56.02/17.38 % (1886180)------------------------------
% 56.02/17.38 % (1886180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.02/17.38 % (1886180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.02/17.38 % (1886180)CaDiCaL version: 2.1.3
% 56.02/17.38 % (1886180)Termination reason: Instruction limit
% 56.02/17.38 % (1886180)Termination phase: Finite model building preprocessing
% 56.02/17.38 % (1886180)Time elapsed: 5.682 s
% 56.02/17.38 % (1886180)Peak memory usage: 196 MB
% 56.02/17.38 % (1886180)Instructions burned: 6324 (million)
% 56.02/17.38 % (1886192)dis+21_1_sil=32000:sas=cadical:random_seed=2663022854:i=3773:amm=off_2890 on theBenchmark for (2890ds/3773Mi)
% 56.02/17.38 % Detected minimum model sizes of [1]
% 56.02/17.38 % Detected maximum model sizes of [2276]
% 56.02/17.38 % TRYING [1]
% 113.23/17.42 % TRYING [3]
% 113.23/17.42 % TRYING [2]
% 113.23/17.42 % (1886190)Instruction limit reached!
% 113.23/17.42 % (1886190)------------------------------
% 113.23/17.42 % (1886190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.23/17.42 % (1886190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.23/17.42 % (1886190)CaDiCaL version: 2.1.3
% 113.23/17.42 % (1886190)Termination reason: Instruction limit
% 113.23/17.42 % (1886190)Termination phase: Saturation
% 113.23/17.42 % (1886190)Time elapsed: 3.259 s
% 113.23/17.42 % (1886190)Peak memory usage: 128 MB
% 113.23/17.42 % (1886190)Instructions burned: 3512 (million)
% 113.23/17.42 % (1886194)ott+11_1_sil=16000:gs=on:random_seed=3474953315:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2863 on theBenchmark for (2863ds/2251Mi)
% 113.23/17.42 % TRYING [3]
% 113.23/17.42 % (1886192)Instruction limit reached!
% 113.23/17.42 % (1886192)------------------------------
% 113.23/17.42 % (1886192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.23/17.42 % (1886192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.23/17.42 % (1886192)CaDiCaL version: 2.1.3
% 113.23/17.42 % (1886192)Termination reason: Instruction limit
% 113.23/17.42 % (1886192)Termination phase: Saturation
% 113.23/17.42 % (1886192)Time elapsed: 3.432 s
% 113.23/17.42 % (1886192)Peak memory usage: 133 MB
% 113.23/17.42 % (1886192)Instructions burned: 3774 (million)
% 113.23/17.42 % (1886196)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1871464798:fmbsr=1.6:i=67534_2855 on theBenchmark for (2855ds/67534Mi)
% 113.23/17.42 % TRYING [5]
% 113.23/17.42 % TRYING [4]
% 113.23/17.42 % (1886194)Instruction limit reached!
% 113.23/17.42 % (1886194)------------------------------
% 113.23/17.42 % (1886194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.23/17.42 % (1886194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.23/17.42 % (1886194)CaDiCaL version: 2.1.3
% 113.23/17.42 % (1886194)Termination reason: Instruction limit
% 113.23/17.42 % (1886194)Termination phase: Saturation
% 113.23/17.42 % (1886194)Time elapsed: 1.825 s
% 113.23/17.42 % (1886194)Peak memory usage: 105 MB
% 113.23/17.42 % (1886194)Instructions burned: 2251 (million)
% 113.23/17.42 % (1886198)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3728307353:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2844 on theBenchmark for (2844ds/4591Mi)
% 113.23/17.42 % TRYING [5]
% 113.23/17.42 % (1886137) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1886131-1886137"...
% 113.23/17.42 % (1886137)...printing done.
% 113.23/17.42 % (1886137)Refutation found. Thanks to Tanya!
% 113.23/17.42 % SZS status Theorem for theBenchmark
% 113.23/17.42 % SZS output start Proof for theBenchmark
% See solution above
% 113.23/17.43 % (1886137)------------------------------
% 113.23/17.43 % (1886137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.23/17.43 % (1886137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.23/17.43 % (1886137)CaDiCaL version: 2.1.3
% 113.23/17.43 % (1886137)Termination reason: Refutation
% 113.23/17.43 % (1886137)Time elapsed: 15.547 s
% 113.23/17.43 % (1886137)Peak memory usage: 172 MB
% 113.23/17.43 % (1886137)Instructions burned: 18944 (million)
% 113.23/17.43 % (1886131)Success in time 16.875 s
% 113.23/17.43 % Vampire exiting
%------------------------------------------------------------------------------