%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV093+1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 11:21:13 AM UTC 2026
% Result : Theorem 0.70s 0.57s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 15 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 95 ( 40 ~; 30 |; 8 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 55 ( 54 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,conjecture,
! [X0] :
( reachableState(X0)
=> v4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( reachableState(X0)
=> v4(X0) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,axiom,
! [X0] :
( ~ v4(X0)
<=> v995(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_113) ).
fof(f38,axiom,
! [X0] :
( ~ v995(X0)
<=> v996(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_112) ).
fof(f39,axiom,
! [X0] :
( v996(X0)
<=> ( v998(X0)
& v1010(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_170) ).
fof(f40,axiom,
! [X0] :
( v1010(X0)
<=> ( v1000(X0,bitIndex0)
| v1000(X0,bitIndex1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_80) ).
fof(f41,axiom,
! [X0] :
( ~ v998(X0)
<=> v999(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_111) ).
fof(f42,axiom,
! [X0] :
( v999(X0)
<=> ( v1000(X0,bitIndex0)
& v1000(X0,bitIndex1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_79) ).
fof(f43,axiom,
! [X0] :
( v1000(X0,bitIndex0)
<=> v1001(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_245) ).
fof(f44,axiom,
! [X0] :
( v1000(X0,bitIndex1)
<=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_244) ).
fof(f45,axiom,
! [X0] :
( v1001(X0)
<=> ( v1003(X0)
& v1007(X0,bitIndex5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_78) ).
fof(f53,axiom,
! [X0] : ~ v1007(X0,bitIndex5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_3) ).
fof(f1169,plain,
! [X0] :
( ~ v4(X0)
=> v995(X0) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f1170,plain,
! [X0] :
( v996(X0)
=> ~ v995(X0) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f1171,plain,
! [X0] :
( ( v998(X0)
& v1010(X0) )
=> v996(X0) ),
inference(unused_predicate_definition_removal,[],[f39]) ).
fof(f1172,plain,
! [X0] :
( ~ v998(X0)
=> v999(X0) ),
inference(unused_predicate_definition_removal,[],[f41]) ).
fof(f1173,plain,
! [X0] :
( v999(X0)
=> ( v1000(X0,bitIndex0)
& v1000(X0,bitIndex1) ) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f1174,plain,
! [X0] :
( ( v1000(X0,bitIndex0)
| v1000(X0,bitIndex1) )
=> v1010(X0) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f1350,plain,
? [X0] :
( ~ v4(X0)
& reachableState(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f1351,plain,
! [X0] :
( v995(X0)
| v4(X0) ),
inference(ennf_transformation,[],[f1169]) ).
fof(f1352,plain,
! [X0] :
( ~ v995(X0)
| ~ v996(X0) ),
inference(ennf_transformation,[],[f1170]) ).
fof(f1353,plain,
! [X0] :
( v996(X0)
| ~ v998(X0)
| ~ v1010(X0) ),
inference(ennf_transformation,[],[f1171]) ).
fof(f1354,plain,
! [X0] :
( v996(X0)
| ~ v998(X0)
| ~ v1010(X0) ),
inference(flattening,[],[f1353]) ).
fof(f1355,plain,
! [X0] :
( v1010(X0)
| ( ~ v1000(X0,bitIndex0)
& ~ v1000(X0,bitIndex1) ) ),
inference(ennf_transformation,[],[f1174]) ).
fof(f1356,plain,
! [X0] :
( v999(X0)
| v998(X0) ),
inference(ennf_transformation,[],[f1172]) ).
fof(f1357,plain,
! [X0] :
( ( v1000(X0,bitIndex0)
& v1000(X0,bitIndex1) )
| ~ v999(X0) ),
inference(ennf_transformation,[],[f1173]) ).
fof(f1666,plain,
~ v4(sK0),
inference(cnf_transformation,[],[f1350]) ).
fof(f1667,plain,
! [X0] :
( v4(X0)
| v995(X0) ),
inference(cnf_transformation,[],[f1351]) ).
fof(f1668,plain,
! [X0] :
( ~ v996(X0)
| ~ v995(X0) ),
inference(cnf_transformation,[],[f1352]) ).
fof(f1669,plain,
! [X0] :
( ~ v1010(X0)
| ~ v998(X0)
| v996(X0) ),
inference(cnf_transformation,[],[f1354]) ).
fof(f1670,plain,
! [X0] :
( ~ v1000(X0,bitIndex1)
| v1010(X0) ),
inference(cnf_transformation,[],[f1355]) ).
fof(f1672,plain,
! [X0] :
( v998(X0)
| v999(X0) ),
inference(cnf_transformation,[],[f1356]) ).
fof(f1674,plain,
! [X0] :
( ~ v999(X0)
| v1000(X0,bitIndex0) ),
inference(cnf_transformation,[],[f1357]) ).
fof(f1676,plain,
! [X0] :
( v1001(X0)
| ~ v1000(X0,bitIndex0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1677,plain,
! [X0] : v1000(X0,bitIndex1),
inference(cnf_transformation,[],[f44]) ).
fof(f1678,plain,
! [X0] :
( v1007(X0,bitIndex5)
| ~ v1001(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f1699,plain,
! [X0] : ~ v1007(X0,bitIndex5),
inference(cnf_transformation,[],[f53]) ).
fof(f5244,plain,
! [X0] :
( ~ v995(X0)
| v4(X0) ),
inference(consistent_polarity_flipping,[],[f1667]) ).
fof(f5245,plain,
! [X0] :
( ~ v996(X0)
| v995(X0) ),
inference(consistent_polarity_flipping,[],[f1668]) ).
fof(f5246,plain,
! [X0] :
( ~ v1010(X0)
| v998(X0)
| v996(X0) ),
inference(consistent_polarity_flipping,[],[f1669]) ).
fof(f5248,plain,
! [X0] :
( v1000(X0,bitIndex1)
| v1010(X0) ),
inference(consistent_polarity_flipping,[],[f1670]) ).
fof(f5249,plain,
! [X0] :
( ~ v998(X0)
| v999(X0) ),
inference(consistent_polarity_flipping,[],[f1672]) ).
fof(f5250,plain,
! [X0] :
( ~ v999(X0)
| ~ v1000(X0,bitIndex0) ),
inference(consistent_polarity_flipping,[],[f1674]) ).
fof(f5252,plain,
! [X0] :
( v1000(X0,bitIndex0)
| v1001(X0) ),
inference(consistent_polarity_flipping,[],[f1676]) ).
fof(f5254,plain,
! [X0] : ~ v1000(X0,bitIndex1),
inference(consistent_polarity_flipping,[],[f1677]) ).
fof(f5257,plain,
! [X0] :
( ~ v1007(X0,bitIndex5)
| ~ v1001(X0) ),
inference(consistent_polarity_flipping,[],[f1678]) ).
fof(f5275,plain,
! [X0] : v1007(X0,bitIndex5),
inference(consistent_polarity_flipping,[],[f1699]) ).
fof(f8907,plain,
! [X0] : v1010(X0),
inference(forward_subsumption_resolution,[],[f5248,f5254]) ).
fof(f8911,plain,
! [X0] : ~ v1001(X0),
inference(forward_subsumption_resolution,[],[f5257,f5275]) ).
fof(f8912,plain,
! [X0] : v1000(X0,bitIndex0),
inference(backward_subsumption_resolution,[],[f5252,f8911]) ).
fof(f8914,plain,
! [X0] : ~ v999(X0),
inference(backward_subsumption_resolution,[],[f5250,f8912]) ).
fof(f8915,plain,
! [X0] : ~ v998(X0),
inference(backward_subsumption_resolution,[],[f5249,f8914]) ).
fof(f9372,plain,
! [X0] :
( v998(X0)
| v996(X0) ),
inference(forward_subsumption_resolution,[],[f5246,f8907]) ).
fof(f9373,plain,
! [X0] : v996(X0),
inference(forward_subsumption_resolution,[],[f9372,f8915]) ).
fof(f9374,plain,
! [X0] : v995(X0),
inference(backward_subsumption_resolution,[],[f5245,f9373]) ).
fof(f9375,plain,
! [X0] : v4(X0),
inference(backward_subsumption_resolution,[],[f5244,f9374]) ).
fof(f9376,plain,
$false,
inference(backward_subsumption_resolution,[],[f1666,f9375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV093+1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 11:32:07 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.57 % (3380711)Will run a generic schedule for satisfiability detection.
% 0.70/0.57 % (3380720)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=917930081:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.70/0.57 % (3380717)% WARNING: option uhcvi not known.
% 0.70/0.57 % (3380716)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4260624131_2999 on theBenchmark for (2999ds/0Mi)
% 0.70/0.57 % (3380717)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1280064344:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.70/0.57 % (3380718)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2207075830:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.70/0.57 % (3380719)dis+10_1_sil=32000:sp=arity:random_seed=2692525241:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.70/0.57 % (3380721)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=483928405:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.70/0.57 % (3380722)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2879336029:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.70/0.57 % (3380720)Instruction limit reached!
% 0.70/0.57 % (3380720)------------------------------
% 0.70/0.57 % (3380720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.57 % (3380720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.57 % (3380720)CaDiCaL version: 2.1.3
% 0.70/0.57 % (3380720)Termination reason: Instruction limit
% 0.70/0.57 % (3380720)Termination phase: Blocked clause elimination
% 0.70/0.57 % (3380720)Time elapsed: 0.032 s
% 0.70/0.57 % (3380720)Peak memory usage: 14 MB
% 0.70/0.57 % (3380720)Instructions burned: 120 (million)
% 0.70/0.57 % (3380730)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1261734271:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.70/0.57 % (3380719)Instruction limit reached!
% 0.70/0.57 % (3380719)------------------------------
% 0.70/0.57 % (3380719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.57 % (3380719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.57 % (3380719)CaDiCaL version: 2.1.3
% 0.70/0.57 % (3380719)Termination reason: Instruction limit
% 0.70/0.57 % (3380719)Termination phase: Saturation
% 0.70/0.57 % (3380719)Time elapsed: 0.053 s
% 0.70/0.57 % (3380719)Peak memory usage: 16 MB
% 0.70/0.57 % (3380719)Instructions burned: 109 (million)
% 0.70/0.57 % (3380721)Instruction limit reached!
% 0.70/0.57 % (3380721)------------------------------
% 0.70/0.57 % (3380721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.57 % (3380721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.57 % (3380721)CaDiCaL version: 2.1.3
% 0.70/0.57 % (3380721)Termination reason: Instruction limit
% 0.70/0.57 % (3380721)Termination phase: Saturation
% 0.70/0.57 % (3380721)Time elapsed: 0.067 s
% 0.70/0.57 % (3380721)Peak memory usage: 17 MB
% 0.70/0.57 % (3380721)Instructions burned: 131 (million)
% 0.70/0.57 % (3380732)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2249922807:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.70/0.57 % (3380722)Instruction limit reached!
% 0.70/0.57 % (3380722)------------------------------
% 0.70/0.57 % (3380722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.57 % (3380722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.57 % (3380722)CaDiCaL version: 2.1.3
% 0.70/0.57 % (3380722)Termination reason: Instruction limit
% 0.70/0.57 % (3380722)Termination phase: Saturation
% 0.70/0.57 % (3380722)Time elapsed: 0.079 s
% 0.70/0.57 % (3380722)Peak memory usage: 19 MB
% 0.70/0.57 % (3380722)Instructions burned: 159 (million)
% 0.70/0.57 % (3380717) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3380711-3380717"...
% 0.70/0.57 % (3380717)...printing done.
% 0.70/0.57 % (3380717)Refutation found. Thanks to Tanya!
% 0.70/0.57 % SZS status Theorem for theBenchmark
% 0.70/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.57 % (3380717)------------------------------
% 0.70/0.57 % (3380717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.57 % (3380717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.57 % (3380717)CaDiCaL version: 2.1.3
% 0.70/0.57 % (3380717)Termination reason: Refutation
% 0.70/0.57 % (3380717)Time elapsed: 0.085 s
% 0.70/0.57 % (3380717)Peak memory usage: 17 MB
% 0.70/0.57 % (3380717)Instructions burned: 158 (million)
% 0.70/0.57 % (3380711)Success in time 0.156 s
% 0.70/0.57 % Vampire exiting
%------------------------------------------------------------------------------