%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:58:32 PM UTC 2026
% Result : Theorem 2.66s 1.42s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 35 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 12 ~; 0 |; 4 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 40 ( 35 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f303,axiom,
! [X0,X1,X2,X3,X4] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_discrim_Redblack.TREES.E$Redblack.TREES.T') ).
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/sandbox2/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(f2823,plain,
~ ! [X0] :
( cRedblack_2ecolor___24t(X0)
=> ! [X1] :
( cRedblack_2eTREES_2etree___24t(X1)
=> ! [X2] :
( cRedblack_2ekey___24t(X2)
=> ! [X3,X4] :
( cRedblack_2eTREES_2etree___24t(X4)
=> cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4) != cRedblack_2eTREES_2eE ) ) ) ),
inference(pure_predicate_removal,[],[f2822]) ).
fof(f2825,plain,
~ ! [X0] :
( cRedblack_2ecolor___24t(X0)
=> ! [X1] :
( cRedblack_2eTREES_2etree___24t(X1)
=> ! [X2,X3,X4] :
( cRedblack_2eTREES_2etree___24t(X4)
=> cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4) != cRedblack_2eTREES_2eE ) ) ),
inference(pure_predicate_removal,[],[f2823]) ).
fof(f2827,plain,
~ ! [X0,X1] :
( cRedblack_2eTREES_2etree___24t(X1)
=> ! [X2,X3,X4] :
( cRedblack_2eTREES_2etree___24t(X4)
=> cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4) != cRedblack_2eTREES_2eE ) ),
inference(pure_predicate_removal,[],[f2825]) ).
fof(f2829,plain,
? [X0,X1] :
( ? [X2,X3,X4] :
( cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4)
& cRedblack_2eTREES_2etree___24t(X4) )
& cRedblack_2eTREES_2etree___24t(X1) ),
inference(ennf_transformation,[],[f2827]) ).
fof(f2833,plain,
( cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sK0,sK1,sK2,sK3,sK4)
& cRedblack_2eTREES_2etree___24t(sK4)
& cRedblack_2eTREES_2etree___24t(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f2829]) ).
fof(f2837,plain,
cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sK0,sK1,sK2,sK3,sK4),
inference(cnf_transformation,[],[f2833]) ).
fof(f2846,plain,
! [X2,X3,X0,X1,X4] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4),
inference(cnf_transformation,[],[f303]) ).
fof(f2848,plain,
cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eE,
inference(superposition,[],[f2846,f2837]) ).
fof(f2849,plain,
$false,
inference(trivial_inequality_removal,[],[f2848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 06:53:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.66/1.42 % (3185040)Detected formulas, will run a generic FOF schedule.
% 2.66/1.42 % (3185049)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1969588135:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.66/1.42 % (3185049)First to succeed.
% 2.66/1.42 % (3185049)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3185040"
% 2.66/1.42 % (3185046)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2782051799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.66/1.42 % (3185048)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4075470879:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.66/1.42 % (3185047)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1696946362:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.66/1.42 % (3185045)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=922927745:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.66/1.42 % (3185051)dis-21_1_sil=8000:lcm=predicate:random_seed=3086610556:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 2.66/1.42 % (3185050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2981479741:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.66/1.42 % (3185048)Also succeeded, but the first one will report.
% 2.66/1.42 % (3185050)Instruction limit reached!
% 2.66/1.42 % (3185050)------------------------------
% 2.66/1.42 % (3185050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.42 % (3185050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.42 % (3185050)CaDiCaL version: 2.1.3
% 2.66/1.42 % (3185050)Termination reason: Instruction limit
% 2.66/1.42 % (3185050)Termination phase: Preprocessing 3
% 2.66/1.42 % (3185050)Time elapsed: 0.073 s
% 2.66/1.42 % (3185050)Peak memory usage: 92 MB
% 2.66/1.42 % (3185050)Instructions burned: 141 (million)
% 2.66/1.42 % (3185051)Instruction limit reached!
% 2.66/1.42 % (3185051)------------------------------
% 2.66/1.42 % (3185051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.42 % (3185051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.42 % (3185051)CaDiCaL version: 2.1.3
% 2.66/1.42 % (3185051)Termination reason: Instruction limit
% 2.66/1.42 % (3185051)Termination phase: Preprocessing 3
% 2.66/1.42 % (3185051)Time elapsed: 0.075 s
% 2.66/1.42 % (3185051)Peak memory usage: 94 MB
% 2.66/1.42 % (3185051)Instructions burned: 129 (million)
% 2.66/1.42 % (3185049)Refutation found. Thanks to Tanya!
% 2.66/1.42 % SZS status Theorem for theBenchmark
% 2.66/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.42 % (3185049)------------------------------
% 2.66/1.42 % (3185049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.42 % (3185049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.42 % (3185049)CaDiCaL version: 2.1.3
% 2.66/1.42 % (3185049)Termination reason: Refutation
% 2.66/1.42 % (3185049)Time elapsed: 0.009 s
% 2.66/1.42 % (3185049)Peak memory usage: 92 MB
% 2.66/1.42 % (3185049)Instructions burned: 30 (million)
% 2.66/1.42 % (3185049)------------------------------
% 2.66/1.42 % (3185049)------------------------------
% 2.66/1.42 % (3185040)Success in time 0.414 s
% 2.66/1.42 % Vampire exiting
%------------------------------------------------------------------------------