%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU235+3 : 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 : 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 12:47:55 PM UTC 2026
% Result : Theorem 5.32s 1.78s
% Output : Refutation 6.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 79 ( 27 unt; 0 def)
% Number of atoms : 229 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 259 ( 109 ~; 84 |; 42 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 125 ( 115 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f9,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f10,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f28,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f30,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f32,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f35,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ~ ( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ordinal(X2)
=> ~ ( in(X2,X0)
& ! [X3] :
( ordinal(X3)
=> ( in(X3,X0)
=> ordinal_subset(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
fof(f36,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ~ ( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ordinal(X2)
=> ~ ( in(X2,X0)
& ! [X3] :
( ordinal(X3)
=> ( in(X3,X0)
=> ordinal_subset(X2,X3) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f39,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f40,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f42,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(f44,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f30]) ).
fof(f56,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f67,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f66]) ).
fof(f71,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f72,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f76,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
? [X0,X1] :
( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ~ in(X2,X0)
| ? [X3] :
( ~ ordinal_subset(X2,X3)
& in(X3,X0)
& ordinal(X3) )
| ~ ordinal(X2) )
& ordinal(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f78,plain,
? [X0,X1] :
( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ~ in(X2,X0)
| ? [X3] :
( ~ ordinal_subset(X2,X3)
& in(X3,X0)
& ordinal(X3) )
| ~ ordinal(X2) )
& ordinal(X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f84,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f86,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f87,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f87]) ).
fof(f89,plain,
! [X0] : element(sK1(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f10]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f67]) ).
fof(f104,plain,
( subset(sK15,sK16)
& empty_set != sK15
& ! [X2] :
( ~ in(X2,sK15)
| ( ~ ordinal_subset(X2,sK17(X2))
& in(sK17(X2),sK15)
& ordinal(sK17(X2)) )
| ~ ordinal(X2) )
& ordinal(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X3,sK17(X2))],[f78]) ).
fof(f105,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f106,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK18(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK18(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X1))],[f84]) ).
fof(f110,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f119,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
! [X0] : element(sK1(X0),X0),
inference(cnf_transformation,[],[f89]) ).
fof(f166,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f168,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f170,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f171,plain,
! [X0,X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f172,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f173,plain,
ordinal(sK16),
inference(cnf_transformation,[],[f104]) ).
fof(f174,plain,
! [X2] :
( ~ in(X2,sK15)
| ordinal(sK17(X2))
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f175,plain,
! [X2] :
( in(sK17(X2),sK15)
| ~ in(X2,sK15)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f176,plain,
! [X2] :
( ~ ordinal_subset(X2,sK17(X2))
| ~ in(X2,sK15)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f177,plain,
empty_set != sK15,
inference(cnf_transformation,[],[f104]) ).
fof(f178,plain,
subset(sK15,sK16),
inference(cnf_transformation,[],[f104]) ).
fof(f180,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f183,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f82]) ).
fof(f185,plain,
! [X3,X0,X1] :
( ~ in(X3,sK18(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f186,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK18(X1),X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f196,plain,
~ empty(sK15),
inference(unit_resulting_resolution,[],[f183,f177]) ).
fof(f200,plain,
element(sK15,powerset(sK16)),
inference(unit_resulting_resolution,[],[f180,f178]) ).
fof(f308,plain,
in(sK1(sK15),sK15),
inference(unit_resulting_resolution,[],[f172,f196,f122]) ).
fof(f330,plain,
~ empty(sK16),
inference(unit_resulting_resolution,[],[f182,f200,f308]) ).
fof(f335,plain,
in(sK18(sK15),sK15),
inference(unit_resulting_resolution,[],[f186,f308]) ).
fof(f438,plain,
element(sK18(sK15),sK16),
inference(unit_resulting_resolution,[],[f181,f200,f335]) ).
fof(f705,plain,
in(sK18(sK15),sK16),
inference(unit_resulting_resolution,[],[f172,f330,f438]) ).
fof(f1320,plain,
ordinal(sK18(sK15)),
inference(unit_resulting_resolution,[],[f170,f173,f705]) ).
fof(f1350,plain,
ordinal(sK17(sK18(sK15))),
inference(unit_resulting_resolution,[],[f174,f335,f1320]) ).
fof(f1351,plain,
in(sK17(sK18(sK15)),sK15),
inference(unit_resulting_resolution,[],[f175,f335,f1320]) ).
fof(f1352,plain,
~ ordinal_subset(sK18(sK15),sK17(sK18(sK15))),
inference(unit_resulting_resolution,[],[f176,f335,f1320]) ).
fof(f2705,plain,
epsilon_transitive(sK17(sK18(sK15))),
inference(unit_resulting_resolution,[],[f110,f1350]) ).
fof(f3161,plain,
~ in(sK17(sK18(sK15)),sK18(sK15)),
inference(unit_resulting_resolution,[],[f185,f1351,f1351]) ).
fof(f4662,plain,
~ subset(sK18(sK15),sK17(sK18(sK15))),
inference(unit_resulting_resolution,[],[f166,f1320,f1350,f1352]) ).
fof(f5151,plain,
~ in(sK18(sK15),sK17(sK18(sK15))),
inference(unit_resulting_resolution,[],[f119,f2705,f4662]) ).
fof(f5328,plain,
sK18(sK15) = sK17(sK18(sK15)),
inference(unit_resulting_resolution,[],[f171,f1320,f1350,f3161,f5151]) ).
fof(f6094,plain,
~ subset(sK18(sK15),sK18(sK15)),
inference(superposition,[],[f4662,f5328]) ).
fof(f6109,plain,
$false,
inference(forward_subsumption_resolution,[],[f6094,f168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU235+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 04:17:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.32/1.78 % (4138561)Detected formulas, will run a generic FOF schedule.
% 5.32/1.78 % (4138567)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=3907385061:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.32/1.78 % (4138570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3301812571:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.32/1.78 % (4138566)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=2216788722:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.32/1.78 % (4138568)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=3923059709:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.32/1.78 % (4138572)dis-21_1_sil=8000:lcm=predicate:random_seed=1140736108: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)
% 5.32/1.78 % (4138569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1282518871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.32/1.78 % (4138571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1231882472:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.32/1.78 % (4138569)Refutation not found, incomplete strategy
% 5.32/1.78 % (4138569)------------------------------
% 5.32/1.78 % (4138569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138569)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138569)Termination reason: Refutation not found, incomplete strategy
% 5.32/1.78 % (4138569)Time elapsed: 0.002 s
% 5.32/1.78 % (4138569)Peak memory usage: 88 MB
% 5.32/1.78 % (4138569)Instructions burned: 2 (million)
% 5.32/1.78 % (4138570)Instruction limit reached!
% 5.32/1.78 % (4138570)------------------------------
% 5.32/1.78 % (4138570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138570)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138570)Termination reason: Instruction limit
% 5.32/1.78 % (4138570)Termination phase: Saturation
% 5.32/1.78 % (4138570)Time elapsed: 0.060 s
% 5.32/1.78 % (4138570)Peak memory usage: 87 MB
% 5.32/1.78 % (4138570)Instructions burned: 120 (million)
% 5.32/1.78 % (4138572)Instruction limit reached!
% 5.32/1.78 % (4138572)------------------------------
% 5.32/1.78 % (4138572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138572)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138572)Termination reason: Instruction limit
% 5.32/1.78 % (4138572)Termination phase: Saturation
% 5.32/1.78 % (4138572)Time elapsed: 0.076 s
% 5.32/1.78 % (4138572)Peak memory usage: 89 MB
% 5.32/1.78 % (4138572)Instructions burned: 130 (million)
% 5.32/1.78 % (4138571)Instruction limit reached!
% 5.32/1.78 % (4138571)------------------------------
% 5.32/1.78 % (4138571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138571)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138571)Termination reason: Instruction limit
% 5.32/1.78 % (4138571)Termination phase: Saturation
% 5.32/1.78 % (4138571)Time elapsed: 0.100 s
% 5.32/1.78 % (4138571)Peak memory usage: 90 MB
% 5.32/1.78 % (4138571)Instructions burned: 139 (million)
% 5.32/1.78 % (4138580)lrs+10_1_sil=8000:sp=occurrence:random_seed=2617371473:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.32/1.78 % (4138581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1420943658:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.32/1.78 % (4138581)Refutation not found, incomplete strategy
% 5.32/1.78 % (4138581)------------------------------
% 5.32/1.78 % (4138581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138581)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138581)Termination reason: Refutation not found, incomplete strategy
% 5.32/1.78 % (4138581)Time elapsed: 0.003 s
% 5.32/1.78 % (4138581)Peak memory usage: 89 MB
% 5.32/1.78 % (4138581)Instructions burned: 2 (million)
% 5.32/1.78 % (4138569)------------------------------
% 5.32/1.78 % (4138569)------------------------------
% 5.32/1.78 % (4138582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=632375747:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.32/1.78 % (4138580)Instruction limit reached!
% 5.32/1.78 % (4138580)------------------------------
% 5.32/1.78 % (4138580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138580)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138580)Termination reason: Instruction limit
% 5.32/1.78 % (4138580)Termination phase: Saturation
% 5.32/1.78 % (4138580)Time elapsed: 0.178 s
% 5.32/1.78 % (4138580)Peak memory usage: 91 MB
% 5.32/1.78 % (4138580)Instructions burned: 285 (million)
% 5.32/1.78 % (4138586)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=135358780:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.32/1.78 % (4138582)Instruction limit reached!
% 5.32/1.78 % (4138582)------------------------------
% 5.32/1.78 % (4138582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138582)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138582)Termination reason: Instruction limit
% 5.32/1.78 % (4138582)Termination phase: Saturation
% 5.32/1.78 % (4138582)Time elapsed: 0.216 s
% 5.32/1.78 % (4138582)Peak memory usage: 91 MB
% 5.32/1.78 % (4138582)Instructions burned: 325 (million)
% 5.32/1.78 % (4138581)------------------------------
% 5.32/1.78 % (4138581)------------------------------
% 5.32/1.78 % (4138586)First to succeed.
% 5.32/1.78 % (4138586)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4138561"
% 5.32/1.78 % (4138587)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3087554372:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.32/1.78 % (4138587)Refutation not found, incomplete strategy
% 5.32/1.78 % (4138587)------------------------------
% 5.32/1.78 % (4138587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138587)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138587)Termination reason: Refutation not found, incomplete strategy
% 5.32/1.78 % (4138587)Time elapsed: 0.003 s
% 5.32/1.78 % (4138587)Peak memory usage: 88 MB
% 5.32/1.78 % (4138587)Instructions burned: 2 (million)
% 5.32/1.78 % (4138589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4108418791:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.32/1.78 % (4138590)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3264767204:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.32/1.78 % (4138566)Also succeeded, but the first one will report.
% 5.32/1.78 % (4138590)Instruction limit reached!
% 5.32/1.78 % (4138590)------------------------------
% 5.32/1.78 % (4138590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.78 % (4138590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.78 % (4138590)CaDiCaL version: 2.1.3
% 5.32/1.78 % (4138590)Termination reason: Instruction limit
% 5.32/1.78 % (4138590)Termination phase: Saturation
% 5.32/1.78 % (4138590)Time elapsed: 0.076 s
% 5.32/1.78 % (4138590)Peak memory usage: 90 MB
% 5.32/1.78 % (4138590)Instructions burned: 114 (million)
% 5.32/1.78 % (4138586)Refutation found. Thanks to Tanya!
% 5.32/1.78 % SZS status Theorem for theBenchmark
% 5.32/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 6.99/1.87 % (4138586)------------------------------
% 6.99/1.87 % (4138586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.87 % (4138586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.87 % (4138586)CaDiCaL version: 2.1.3
% 6.99/1.87 % (4138586)Termination reason: Refutation
% 6.99/1.87 % (4138586)Time elapsed: 0.083 s
% 6.99/1.87 % (4138586)Peak memory usage: 90 MB
% 6.99/1.87 % (4138586)Instructions burned: 144 (million)
% 6.99/1.87 % (4138586)------------------------------
% 6.99/1.87 % (4138586)------------------------------
% 6.99/1.87 % (4138561)Success in time 0.923 s
% 6.99/1.87 % Vampire exiting
%------------------------------------------------------------------------------