%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET995+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:42:29 PM UTC 2026
% Result : Theorem 2.12s 1.30s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 4
% Syntax : Number of formulae : 65 ( 15 unt; 0 def)
% Number of atoms : 319 ( 121 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 420 ( 166 ~; 172 |; 63 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 81 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f25,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& relation_rng(X1) = singleton(X0)
& relation_rng(X2) = singleton(X0) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& relation_rng(X1) = singleton(X0)
& relation_rng(X2) = singleton(X0) )
=> X1 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f35,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_dom(X0) = relation_dom(X1)
& ! [X2] :
( in(X2,relation_dom(X0))
=> apply(X0,X2) = apply(X1,X2) ) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f43]) ).
fof(f52,plain,
? [X0,X1] :
( ? [X2] :
( X1 != X2
& relation_dom(X1) = relation_dom(X2)
& relation_rng(X1) = singleton(X0)
& relation_rng(X2) = singleton(X0)
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f53,plain,
? [X0,X1] :
( ? [X2] :
( X1 != X2
& relation_dom(X1) = relation_dom(X2)
& relation_rng(X1) = singleton(X0)
& relation_rng(X2) = singleton(X0)
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f52]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| relation_dom(X0) != relation_dom(X1)
| ? [X2] :
( apply(X0,X2) != apply(X1,X2)
& in(X2,relation_dom(X0)) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| relation_dom(X0) != relation_dom(X1)
| ? [X2] :
( apply(X0,X2) != apply(X1,X2)
& in(X2,relation_dom(X0)) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f67,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK1(X0,X1) )
| ~ in(sK1(X0,X1),X1) )
& ( ( in(sK2(X0,X1),relation_dom(X0))
& sK1(X0,X1) = apply(X0,sK2(X0,X1)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK3(X0,X5),relation_dom(X0))
& apply(X0,sK3(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f70]) ).
fof(f81,plain,
( sK14 != sK15
& relation_dom(sK14) = relation_dom(sK15)
& singleton(sK13) = relation_rng(sK14)
& singleton(sK13) = relation_rng(sK15)
& relation(sK15)
& function(sK15)
& relation(sK14)
& function(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f53]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| relation_dom(X0) != relation_dom(X1)
| ( apply(X0,sK16(X0,X1)) != apply(X1,sK16(X0,X1))
& in(sK16(X0,X1),relation_dom(X0)) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f65]) ).
fof(f86,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f68]) ).
fof(f92,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f124,plain,
function(sK14),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
relation(sK14),
inference(cnf_transformation,[],[f81]) ).
fof(f126,plain,
function(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f127,plain,
relation(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f128,plain,
singleton(sK13) = relation_rng(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f129,plain,
singleton(sK13) = relation_rng(sK14),
inference(cnf_transformation,[],[f81]) ).
fof(f130,plain,
relation_dom(sK14) = relation_dom(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f131,plain,
sK14 != sK15,
inference(cnf_transformation,[],[f81]) ).
fof(f140,plain,
! [X0,X1] :
( in(sK16(X0,X1),relation_dom(X0))
| relation_dom(X0) != relation_dom(X1)
| X0 = X1
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f141,plain,
! [X0,X1] :
( apply(X0,sK16(X0,X1)) != apply(X1,sK16(X0,X1))
| relation_dom(X0) != relation_dom(X1)
| X0 = X1
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f144,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f86]) ).
fof(f145,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f92]) ).
fof(f146,plain,
! [X0,X6] :
( ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f145]) ).
fof(f149,plain,
relation_rng(sK14) = relation_rng(sK15),
inference(superposition,[],[f129,f128]) ).
fof(f192,plain,
! [X0] :
( ~ in(X0,relation_rng(sK14))
| sK13 = X0 ),
inference(superposition,[],[f144,f129]) ).
fof(f201,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| in(apply(sK15,X0),relation_rng(sK15))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f146,f130]) ).
fof(f202,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| in(apply(sK15,X0),relation_rng(sK15))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f201,f127]) ).
fof(f203,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| in(apply(sK15,X0),relation_rng(sK15)) ),
inference(forward_subsumption_resolution,[],[f202,f126]) ).
fof(f204,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| in(apply(sK15,X0),relation_rng(sK14)) ),
inference(forward_demodulation,[],[f203,f149]) ).
fof(f237,plain,
! [X0] :
( in(sK16(sK15,X0),relation_dom(sK14))
| relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f140,f130]) ).
fof(f239,plain,
! [X0] :
( in(sK16(sK15,X0),relation_dom(sK14))
| relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f237,f127]) ).
fof(f241,plain,
! [X0] :
( in(sK16(sK15,X0),relation_dom(sK14))
| relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f239,f126]) ).
fof(f257,plain,
! [X0] :
( relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0)
| in(apply(sK15,sK16(sK15,X0)),relation_rng(sK14)) ),
inference(resolution,[],[f241,f204]) ).
fof(f258,plain,
! [X0] :
( relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0)
| in(apply(sK14,sK16(sK15,X0)),relation_rng(sK14))
| ~ relation(sK14)
| ~ function(sK14) ),
inference(resolution,[],[f241,f146]) ).
fof(f259,plain,
! [X0] :
( relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0)
| in(apply(sK14,sK16(sK15,X0)),relation_rng(sK14))
| ~ function(sK14) ),
inference(forward_subsumption_resolution,[],[f258,f125]) ).
fof(f260,plain,
! [X0] :
( relation_dom(X0) != relation_dom(sK14)
| sK15 = X0
| ~ relation(X0)
| ~ function(X0)
| in(apply(sK14,sK16(sK15,X0)),relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[],[f259,f124]) ).
fof(f550,plain,
( sK14 = sK15
| ~ relation(sK14)
| ~ function(sK14)
| in(apply(sK15,sK16(sK15,sK14)),relation_rng(sK14)) ),
inference(equality_resolution,[],[f257]) ).
fof(f551,plain,
( ~ relation(sK14)
| ~ function(sK14)
| in(apply(sK15,sK16(sK15,sK14)),relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[],[f550,f131]) ).
fof(f552,plain,
( ~ function(sK14)
| in(apply(sK15,sK16(sK15,sK14)),relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[],[f551,f125]) ).
fof(f553,plain,
in(apply(sK15,sK16(sK15,sK14)),relation_rng(sK14)),
inference(forward_subsumption_resolution,[],[f552,f124]) ).
fof(f562,plain,
( sK14 = sK15
| ~ relation(sK14)
| ~ function(sK14)
| in(apply(sK14,sK16(sK15,sK14)),relation_rng(sK14)) ),
inference(equality_resolution,[],[f260]) ).
fof(f563,plain,
( ~ relation(sK14)
| ~ function(sK14)
| in(apply(sK14,sK16(sK15,sK14)),relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[],[f562,f131]) ).
fof(f564,plain,
( ~ function(sK14)
| in(apply(sK14,sK16(sK15,sK14)),relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[],[f563,f125]) ).
fof(f565,plain,
in(apply(sK14,sK16(sK15,sK14)),relation_rng(sK14)),
inference(forward_subsumption_resolution,[],[f564,f124]) ).
fof(f571,plain,
sK13 = apply(sK15,sK16(sK15,sK14)),
inference(resolution,[],[f553,f192]) ).
fof(f577,plain,
( sK13 != apply(sK14,sK16(sK15,sK14))
| relation_dom(sK14) != relation_dom(sK15)
| sK14 = sK15
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f141,f571]) ).
fof(f578,plain,
( sK13 != apply(sK14,sK16(sK15,sK14))
| sK14 = sK15
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f577,f130]) ).
fof(f579,plain,
( sK13 != apply(sK14,sK16(sK15,sK14))
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f578,f131]) ).
fof(f580,plain,
( sK13 != apply(sK14,sK16(sK15,sK14))
| ~ function(sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f579,f125]) ).
fof(f581,plain,
( sK13 != apply(sK14,sK16(sK15,sK14))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f580,f124]) ).
fof(f582,plain,
( sK13 != apply(sK14,sK16(sK15,sK14))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f581,f127]) ).
fof(f583,plain,
sK13 != apply(sK14,sK16(sK15,sK14)),
inference(forward_subsumption_resolution,[],[f582,f126]) ).
fof(f587,plain,
sK13 = apply(sK14,sK16(sK15,sK14)),
inference(resolution,[],[f565,f192]) ).
fof(f591,plain,
$false,
inference(forward_subsumption_resolution,[],[f587,f583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET995+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.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 03:22:42 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
% 2.12/1.30 % (1152418)Detected formulas, will run a generic FOF schedule.
% 2.12/1.30 % (1152426)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1481749534:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.12/1.30 % (1152426)Instruction limit reached!
% 2.12/1.30 % (1152426)------------------------------
% 2.12/1.30 % (1152426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.30 % (1152426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.30 % (1152426)CaDiCaL version: 2.1.3
% 2.12/1.30 % (1152426)Termination reason: Instruction limit
% 2.12/1.30 % (1152426)Termination phase: Saturation
% 2.12/1.30 % (1152426)Time elapsed: 0.031 s
% 2.12/1.30 % (1152426)Peak memory usage: 88 MB
% 2.12/1.30 % (1152426)Instructions burned: 111 (million)
% 2.12/1.30 % (1152423)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=85757922:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.12/1.30 % (1152424)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=2958875300:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.12/1.30 % (1152425)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=4058883170:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.12/1.30 % (1152429)dis-21_1_sil=8000:lcm=predicate:random_seed=2381842606:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.12/1.30 % (1152427)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1432983069:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.12/1.30 % (1152428)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=826578694:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.12/1.30 % (1152427)Refutation not found, incomplete strategy
% 2.12/1.30 % (1152427)------------------------------
% 2.12/1.30 % (1152427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.30 % (1152427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.30 % (1152427)CaDiCaL version: 2.1.3
% 2.12/1.30 % (1152427)Termination reason: Refutation not found, incomplete strategy
% 2.12/1.30 % (1152427)Time elapsed: 0.005 s
% 2.12/1.30 % (1152427)Peak memory usage: 88 MB
% 2.12/1.30 % (1152427)Instructions burned: 5 (million)
% 2.12/1.30 % (1152428)First to succeed.
% 2.12/1.30 % (1152428)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1152418"
% 2.12/1.30 % (1152429)Instruction limit reached!
% 2.12/1.30 % (1152429)------------------------------
% 2.12/1.30 % (1152429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.30 % (1152429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.30 % (1152429)CaDiCaL version: 2.1.3
% 2.12/1.30 % (1152429)Termination reason: Instruction limit
% 2.12/1.30 % (1152429)Termination phase: Saturation
% 2.12/1.30 % (1152429)Time elapsed: 0.082 s
% 2.12/1.30 % (1152429)Peak memory usage: 90 MB
% 2.12/1.30 % (1152429)Instructions burned: 129 (million)
% 2.12/1.30 % (1152434)lrs+10_1_sil=8000:sp=occurrence:random_seed=1384929613:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.12/1.30 % (1152434)Also succeeded, but the first one will report.
% 2.12/1.30 % (1152427)------------------------------
% 2.12/1.30 % (1152427)------------------------------
% 2.12/1.30 % (1152438)lrs+10_1_sil=32000:urr=on:br=off:random_seed=804184461:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.12/1.30 % (1152438)Also succeeded, but the first one will report.
% 2.12/1.30 % (1152428)Refutation found. Thanks to Tanya!
% 2.12/1.30 % SZS status Theorem for theBenchmark
% 2.12/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.50 % (1152428)------------------------------
% 3.79/1.50 % (1152428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (1152428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (1152428)CaDiCaL version: 2.1.3
% 3.79/1.50 % (1152428)Termination reason: Refutation
% 3.79/1.50 % (1152428)Time elapsed: 0.018 s
% 3.79/1.50 % (1152428)Peak memory usage: 88 MB
% 3.79/1.50 % (1152428)Instructions burned: 24 (million)
% 3.79/1.50 % (1152428)------------------------------
% 3.79/1.50 % (1152428)------------------------------
% 3.79/1.50 % (1152418)Success in time 0.457 s
% 3.79/1.50 % Vampire exiting
%------------------------------------------------------------------------------