%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:59:38 PM UTC 2026
% Result : Theorem 0.89s 0.94s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 26 ( 6 ~; 0 |; 10 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 40 ( 35 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,axiom,
cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Redblack.TREES.empty_tree') ).
fof(f303,axiom,
! [X0,X1,X2,X3,X4] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_discrim_Redblack.TREES.E$Redblack.TREES.T') ).
fof(f2303,axiom,
! [X0,X1,X2,X3,X4] : happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,X0),X1),X2),X3),X4) = cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Redblack.TREES.T_$a5') ).
fof(f2821,conjecture,
! [X0] :
( cRedblack_2ecolor___24t(X0)
=> ! [X1] :
( cRedblack_2eTREES_2etree___24t(X1)
=> ! [X2] :
( cRedblack_2ekey___24t(X2)
=> ! [X3] :
( cV___24t(X3)
=> ! [X4] :
( cRedblack_2eTREES_2etree___24t(X4)
=> cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4) != cRedblack_2eTREES_2eE ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2822,negated_conjecture,
~ ! [X0] :
( cRedblack_2ecolor___24t(X0)
=> ! [X1] :
( cRedblack_2eTREES_2etree___24t(X1)
=> ! [X2] :
( cRedblack_2ekey___24t(X2)
=> ! [X3] :
( cV___24t(X3)
=> ! [X4] :
( cRedblack_2eTREES_2etree___24t(X4)
=> cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4) != cRedblack_2eTREES_2eE ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2821]) ).
fof(f4622,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4)
& cRedblack_2eTREES_2etree___24t(X4) )
& cV___24t(X3) )
& cRedblack_2ekey___24t(X2) )
& cRedblack_2eTREES_2etree___24t(X1) )
& cRedblack_2ecolor___24t(X0) ),
inference(ennf_transformation,[],[f2822]) ).
fof(f7998,plain,
( cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sK1883,sK1884,sK1885,sK1886,sK1887)
& cRedblack_2eTREES_2etree___24t(sK1887)
& cV___24t(sK1886)
& cRedblack_2ekey___24t(sK1885)
& cRedblack_2eTREES_2etree___24t(sK1884)
& cRedblack_2ecolor___24t(sK1883) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1883,sK1884,sK1885,sK1886,sK1887]),skolemize(X0,sK1883),skolemize(X1,sK1884),skolemize(X2,sK1885),skolemize(X3,sK1886),skolemize(X4,sK1887)],[f4622]) ).
fof(f10275,plain,
cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eempty__tree,
inference(cnf_transformation,[],[f261]) ).
fof(f10369,plain,
! [X2,X3,X0,X1,X4] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4),
inference(cnf_transformation,[],[f303]) ).
fof(f14469,plain,
! [X2,X3,X0,X1,X4] : cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4) = happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,X0),X1),X2),X3),X4),
inference(cnf_transformation,[],[f2303]) ).
fof(f15408,plain,
cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sK1883,sK1884,sK1885,sK1886,sK1887),
inference(cnf_transformation,[],[f7998]) ).
fof(f16941,plain,
! [X2,X3,X0,X1,X4] : cRedblack_2eTREES_2eempty__tree != happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,X0),X1),X2),X3),X4),
inference(definition_unfolding,[],[f10369,f10275,f14469]) ).
fof(f18268,plain,
cRedblack_2eTREES_2eempty__tree = happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,sK1883),sK1884),sK1885),sK1886),sK1887),
inference(definition_unfolding,[],[f15408,f10275,f14469]) ).
fof(f18972,plain,
$false,
inference(forward_subsumption_resolution,[],[f18268,f16941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 06:51:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.89/0.93 % (158424)Will run a generic schedule for satisfiability detection.
% 0.89/0.93 % (158430)% WARNING: option uhcvi not known.
% 0.89/0.93 % (158430)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=559980880:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 0.89/0.93 % (158431)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1947962596:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 0.89/0.93 % (158429)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1780436469_2998 on theBenchmark for (2998ds/0Mi)
% 0.89/0.93 % (158433)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1593347017:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 0.89/0.93 % (158432)dis+10_1_sil=32000:sp=arity:random_seed=3631646448:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 0.89/0.93 % (158434)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2398751722:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 0.89/0.93 % (158435)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=572099520:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 0.89/0.93 % (158432)Instruction limit reached!
% 0.89/0.93 % (158432)------------------------------
% 0.89/0.93 % (158432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.93 % (158432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.93 % (158432)CaDiCaL version: 2.1.3
% 0.89/0.93 % (158432)Termination reason: Instruction limit
% 0.89/0.93 % (158432)Termination phase: Preprocessing 3
% 0.89/0.93 % (158432)Time elapsed: 0.063 s
% 0.89/0.93 % (158432)Peak memory usage: 19 MB
% 0.89/0.93 % (158432)Instructions burned: 104 (million)
% 0.89/0.93 % (158433)Instruction limit reached!
% 0.89/0.93 % (158433)------------------------------
% 0.89/0.93 % (158433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.93 % (158433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.93 % (158433)CaDiCaL version: 2.1.3
% 0.89/0.93 % (158433)Termination reason: Instruction limit
% 0.89/0.93 % (158433)Termination phase: NewCNF
% 0.89/0.93 % (158433)Time elapsed: 0.070 s
% 0.89/0.93 % (158433)Peak memory usage: 19 MB
% 0.89/0.93 % (158433)Instructions burned: 117 (million)
% 0.89/0.93 % (158434)Instruction limit reached!
% 0.89/0.93 % (158434)------------------------------
% 0.89/0.93 % (158434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.93 % (158434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.93 % (158434)CaDiCaL version: 2.1.3
% 0.89/0.93 % (158434)Termination reason: Instruction limit
% 0.89/0.93 % (158434)Termination phase: Clausification
% 0.89/0.93 % (158434)Time elapsed: 0.079 s
% 0.89/0.93 % (158434)Peak memory usage: 21 MB
% 0.89/0.93 % (158434)Instructions burned: 131 (million)
% 0.89/0.93 % (158443)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3983581283:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 0.89/0.93 % (158444)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1879652871:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 0.89/0.93 % (158435)Instruction limit reached!
% 0.89/0.93 % (158435)------------------------------
% 0.89/0.93 % (158435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.93 % (158435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.93 % (158435)CaDiCaL version: 2.1.3
% 0.89/0.93 % (158435)Termination reason: Instruction limit
% 0.89/0.93 % (158435)Termination phase: Property scanning
% 0.89/0.93 % (158435)Time elapsed: 0.092 s
% 0.89/0.93 % (158435)Peak memory usage: 22 MB
% 0.89/0.93 % (158435)Instructions burned: 159 (million)
% 0.89/0.93 % (158445)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=2375328154:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 0.89/0.93 % (158448)ott-21_1_sil=16000:fs=off:random_seed=3908463785:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 0.89/0.93 % (158444)Instruction limit reached!
% 0.89/0.93 % (158444)------------------------------
% 0.89/0.93 % (158444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.93 % (158444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.93 % (158444)CaDiCaL version: 2.1.3
% 0.89/0.93 % (158444)Termination reason: Instruction limit
% 0.89/0.94 % (158444)Termination phase: Clausification
% 0.89/0.94 % (158444)Time elapsed: 0.077 s
% 0.89/0.94 % (158444)Peak memory usage: 21 MB
% 0.89/0.94 % (158444)Instructions burned: 131 (million)
% 0.89/0.94 % (158451)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3068877526:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 0.89/0.94 % (158448)Instruction limit reached!
% 0.89/0.94 % (158448)------------------------------
% 0.89/0.94 % (158448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.94 % (158448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.94 % (158448)CaDiCaL version: 2.1.3
% 0.89/0.94 % (158448)Termination reason: Instruction limit
% 0.89/0.94 % (158448)Termination phase: Property scanning
% 0.89/0.94 % (158448)Time elapsed: 0.096 s
% 0.89/0.94 % (158448)Peak memory usage: 21 MB
% 0.89/0.94 % (158448)Instructions burned: 180 (million)
% 0.89/0.94 % (158453)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2579704933:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 0.89/0.94 % (158431) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-158424-158431"...
% 0.89/0.94 % (158431)...printing done.
% 0.89/0.94 % (158431)Refutation found. Thanks to Tanya!
% 0.89/0.94 % SZS status Theorem for theBenchmark
% 0.89/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.94 % (158431)------------------------------
% 0.89/0.94 % (158431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.94 % (158431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.94 % (158431)CaDiCaL version: 2.1.3
% 0.89/0.94 % (158431)Termination reason: Refutation
% 0.89/0.94 % (158431)Time elapsed: 0.344 s
% 0.89/0.94 % (158431)Peak memory usage: 37 MB
% 0.89/0.94 % (158431)Instructions burned: 716 (million)
% 0.89/0.94 % (158424)Success in time 0.518 s
% 0.89/0.94 % Vampire exiting
%------------------------------------------------------------------------------