%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU325+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:48:21 PM UTC 2026
% Result : Theorem 11.75s 2.64s
% Output : Refutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 155 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 149 ( 59 ~; 44 |; 29 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 70 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f113,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_pre_topc) ).
fof(f160,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f215,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f246,axiom,
( empty(empty_set)
& v1_membered(empty_set)
& v2_membered(empty_set)
& v3_membered(empty_set)
& v4_membered(empty_set)
& v5_membered(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f278,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f313,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f368,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f457,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f460,axiom,
! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f498,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
fof(f499,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set ) ) ),
inference(negated_conjecture,[status(cth)],[f498]) ).
fof(f688,plain,
! [X0] :
( ! [X1] :
( ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f719,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f160]) ).
fof(f760,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f215]) ).
fof(f761,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f760]) ).
fof(f833,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f278]) ).
fof(f854,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f313]) ).
fof(f935,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f368]) ).
fof(f1050,plain,
! [X0] :
( X0 = empty_set
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f460]) ).
fof(f1108,plain,
? [X0] :
( ? [X1] :
( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set
& element(X1,powerset(powerset(the_carrier(X0)))) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f499]) ).
fof(f1109,plain,
? [X0] :
( ? [X1] :
( is_a_cover_of_carrier(X0,X1)
& X1 = empty_set
& element(X1,powerset(powerset(the_carrier(X0)))) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(flattening,[],[f1108]) ).
fof(f1268,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f1269,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f1268]) ).
fof(f1270,plain,
! [X0] :
( ( X0 = empty_set
| in(sK62(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X1,sK62(X0))],[f1269]) ).
fof(f1368,plain,
! [X0] :
( ! [X1] :
( ( ( is_a_cover_of_carrier(X0,X1)
| union_of_subsets(the_carrier(X0),X1) != cast_as_carrier_subset(X0) )
& ( cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1)
| ~ is_a_cover_of_carrier(X0,X1) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f688]) ).
fof(f1410,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK138(X0,X1),X1)
& in(sK138(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK138]),skolemize(X2,sK138(X0,X1))],[f833]) ).
fof(f1635,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f457]) ).
fof(f1657,plain,
( is_a_cover_of_carrier(sK369,sK370)
& empty_set = sK370
& element(sK370,powerset(powerset(the_carrier(sK369))))
& ~ empty_carrier(sK369)
& one_sorted_str(sK369) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK369,sK370]),skolemize(X0,sK369),skolemize(X1,sK370)],[f1109]) ).
fof(f1900,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f1270]) ).
fof(f2081,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ is_a_cover_of_carrier(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| union_of_subsets(the_carrier(X0),X1) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2125,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| element(union_of_subsets(X0,X1),powerset(X0)) ),
inference(cnf_transformation,[],[f719]) ).
fof(f2211,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f761]) ).
fof(f2285,plain,
empty(empty_set),
inference(cnf_transformation,[],[f246]) ).
fof(f2341,plain,
! [X0,X1] :
( in(sK138(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f2440,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| union_of_subsets(X0,X1) = union(X1) ),
inference(cnf_transformation,[],[f854]) ).
fof(f2813,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f935]) ).
fof(f2953,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f1635]) ).
fof(f2959,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[],[f1050]) ).
fof(f3037,plain,
one_sorted_str(sK369),
inference(cnf_transformation,[],[f1657]) ).
fof(f3038,plain,
~ empty_carrier(sK369),
inference(cnf_transformation,[],[f1657]) ).
fof(f3039,plain,
element(sK370,powerset(powerset(the_carrier(sK369)))),
inference(cnf_transformation,[],[f1657]) ).
fof(f3040,plain,
empty_set = sK370,
inference(cnf_transformation,[],[f1657]) ).
fof(f3041,plain,
is_a_cover_of_carrier(sK369,sK370),
inference(cnf_transformation,[],[f1657]) ).
fof(f3176,plain,
! [X2,X0] :
( ~ in(X2,X0)
| sK370 != X0 ),
inference(definition_unfolding,[],[f1900,f3040]) ).
fof(f3314,plain,
empty(sK370),
inference(definition_unfolding,[],[f2285,f3040]) ).
fof(f3533,plain,
! [X0] :
( ~ subset(X0,sK370)
| sK370 = X0 ),
inference(definition_unfolding,[],[f2959,f3040,f3040]) ).
fof(f3650,plain,
! [X2] : ~ in(X2,sK370),
inference(equality_resolution,[],[f3176]) ).
fof(f4159,plain,
! [X0] :
( ~ is_a_cover_of_carrier(sK369,X0)
| ~ element(X0,powerset(powerset(the_carrier(sK369))))
| cast_as_carrier_subset(sK369) = union_of_subsets(the_carrier(sK369),X0) ),
inference(resolution,[],[f3037,f2081]) ).
fof(f4160,plain,
the_carrier(sK369) = cast_as_carrier_subset(sK369),
inference(resolution,[],[f2813,f3037]) ).
fof(f4170,plain,
( ~ element(sK370,powerset(powerset(the_carrier(sK369))))
| union_of_subsets(the_carrier(sK369),sK370) = cast_as_carrier_subset(sK369) ),
inference(resolution,[],[f4159,f3041]) ).
fof(f4171,plain,
union_of_subsets(the_carrier(sK369),sK370) = cast_as_carrier_subset(sK369),
inference(forward_subsumption_resolution,[],[f4170,f3039]) ).
fof(f4172,plain,
cast_as_carrier_subset(sK369) = union_of_subsets(cast_as_carrier_subset(sK369),sK370),
inference(forward_demodulation,[],[f4171,f4160]) ).
fof(f4273,plain,
! [X0] : element(sK370,powerset(X0)),
inference(resolution,[],[f2341,f3650]) ).
fof(f4387,plain,
! [X0] : element(union_of_subsets(X0,sK370),powerset(X0)),
inference(resolution,[],[f2125,f4273]) ).
fof(f5034,plain,
! [X0] : union_of_subsets(X0,sK370) = union(sK370),
inference(resolution,[],[f2440,f4273]) ).
fof(f5040,plain,
cast_as_carrier_subset(sK369) = union(sK370),
inference(superposition,[],[f4172,f5034]) ).
fof(f5490,plain,
! [X0] : subset(union_of_subsets(X0,sK370),X0),
inference(resolution,[],[f2953,f4387]) ).
fof(f5512,plain,
! [X0] : subset(union(sK370),X0),
inference(forward_demodulation,[],[f5490,f5034]) ).
fof(f5513,plain,
! [X0] : subset(cast_as_carrier_subset(sK369),X0),
inference(forward_demodulation,[],[f5512,f5040]) ).
fof(f5762,plain,
sK370 = cast_as_carrier_subset(sK369),
inference(resolution,[],[f5513,f3533]) ).
fof(f5774,plain,
( ~ empty(sK370)
| empty_carrier(sK369)
| ~ one_sorted_str(sK369) ),
inference(superposition,[],[f2211,f5762]) ).
fof(f5775,plain,
( empty_carrier(sK369)
| ~ one_sorted_str(sK369) ),
inference(forward_subsumption_resolution,[],[f5774,f3314]) ).
fof(f5777,plain,
~ one_sorted_str(sK369),
inference(forward_subsumption_resolution,[],[f5775,f3038]) ).
fof(f5778,plain,
$false,
inference(forward_subsumption_resolution,[],[f5777,f3037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU325+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 04:48:03 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 10.88/2.45 % (3264203)Detected formulas, will run a generic FOF schedule.
% 10.88/2.45 % (3264211)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1403470399:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.88/2.45 % (3264211)Instruction limit reached!
% 10.88/2.45 % (3264211)------------------------------
% 10.88/2.45 % (3264211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264211)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264211)Termination reason: Instruction limit
% 10.88/2.45 % (3264211)Termination phase: Saturation
% 10.88/2.45 % (3264211)Time elapsed: 0.036 s
% 10.88/2.45 % (3264211)Peak memory usage: 91 MB
% 10.88/2.45 % (3264211)Instructions burned: 112 (million)
% 10.88/2.45 % (3264214)dis-21_1_sil=8000:lcm=predicate:random_seed=3560765051: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)
% 10.88/2.45 % (3264213)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4228632090:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.88/2.45 % (3264208)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=1470271845:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.88/2.45 % (3264212)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=885946756:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.88/2.45 % (3264210)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=3616305334:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.88/2.45 % (3264209)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=1169379879:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.88/2.45 % (3264214)Instruction limit reached!
% 10.88/2.45 % (3264214)------------------------------
% 10.88/2.45 % (3264214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264214)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264214)Termination reason: Instruction limit
% 10.88/2.45 % (3264214)Termination phase: Saturation
% 10.88/2.45 % (3264214)Time elapsed: 0.066 s
% 10.88/2.45 % (3264214)Peak memory usage: 90 MB
% 10.88/2.45 % (3264214)Instructions burned: 130 (million)
% 10.88/2.45 % (3264212)Instruction limit reached!
% 10.88/2.45 % (3264212)------------------------------
% 10.88/2.45 % (3264212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264212)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264212)Termination reason: Instruction limit
% 10.88/2.45 % (3264212)Termination phase: Saturation
% 10.88/2.45 % (3264212)Time elapsed: 0.072 s
% 10.88/2.45 % (3264212)Peak memory usage: 90 MB
% 10.88/2.45 % (3264212)Instructions burned: 120 (million)
% 10.88/2.45 % (3264216)lrs+10_1_sil=8000:sp=occurrence:random_seed=3383123700:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.88/2.45 % (3264213)Instruction limit reached!
% 10.88/2.45 % (3264213)------------------------------
% 10.88/2.45 % (3264213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264213)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264213)Termination reason: Instruction limit
% 10.88/2.45 % (3264213)Termination phase: Saturation
% 10.88/2.45 % (3264213)Time elapsed: 0.095 s
% 10.88/2.45 % (3264213)Peak memory usage: 92 MB
% 10.88/2.45 % (3264213)Instructions burned: 139 (million)
% 10.88/2.45 % (3264216)Instruction limit reached!
% 10.88/2.45 % (3264216)------------------------------
% 10.88/2.45 % (3264216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264216)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264216)Termination reason: Instruction limit
% 10.88/2.45 % (3264216)Termination phase: Saturation
% 10.88/2.45 % (3264216)Time elapsed: 0.099 s
% 10.88/2.45 % (3264216)Peak memory usage: 94 MB
% 10.88/2.45 % (3264216)Instructions burned: 287 (million)
% 10.88/2.45 % (3264223)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3769754261:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.88/2.45 % (3264224)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3860843881:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.88/2.45 % (3264223)Refutation not found, incomplete strategy
% 10.88/2.45 % (3264223)------------------------------
% 10.88/2.45 % (3264223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264223)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264223)Termination reason: Refutation not found, incomplete strategy
% 10.88/2.45 % (3264223)Time elapsed: 0.007 s
% 10.88/2.45 % (3264223)Peak memory usage: 89 MB
% 10.88/2.45 % (3264223)Instructions burned: 8 (million)
% 10.88/2.45 % (3264226)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=1819585183:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.88/2.45 % (3264227)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=549966797:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.88/2.45 % (3264227)Instruction limit reached!
% 10.88/2.45 % (3264227)------------------------------
% 10.88/2.45 % (3264227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264227)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264227)Termination reason: Instruction limit
% 10.88/2.45 % (3264227)Termination phase: Saturation
% 10.88/2.45 % (3264227)Time elapsed: 0.095 s
% 10.88/2.45 % (3264227)Peak memory usage: 92 MB
% 10.88/2.45 % (3264227)Instructions burned: 296 (million)
% 10.88/2.45 % (3264226)Instruction limit reached!
% 10.88/2.45 % (3264226)------------------------------
% 10.88/2.45 % (3264226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264226)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264226)Termination reason: Instruction limit
% 10.88/2.45 % (3264226)Termination phase: Saturation
% 10.88/2.45 % (3264226)Time elapsed: 0.149 s
% 10.88/2.45 % (3264226)Peak memory usage: 93 MB
% 10.88/2.45 % (3264226)Instructions burned: 249 (million)
% 10.88/2.45 % (3264224)Instruction limit reached!
% 10.88/2.45 % (3264224)------------------------------
% 10.88/2.45 % (3264224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264224)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264224)Termination reason: Instruction limit
% 10.88/2.45 % (3264224)Termination phase: Saturation
% 10.88/2.45 % (3264224)Time elapsed: 0.224 s
% 10.88/2.45 % (3264224)Peak memory usage: 94 MB
% 10.88/2.45 % (3264224)Instructions burned: 325 (million)
% 10.88/2.45 % (3264223)------------------------------
% 10.88/2.45 % (3264223)------------------------------
% 10.88/2.45 % (3264232)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1425808532:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.88/2.45 % (3264233)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1495597723:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.88/2.45 % (3264234)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1408184913:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.88/2.45 % (3264233)Instruction limit reached!
% 10.88/2.45 % (3264233)------------------------------
% 10.88/2.45 % (3264233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264233)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264233)Termination reason: Instruction limit
% 10.88/2.45 % (3264233)Termination phase: Saturation
% 10.88/2.45 % (3264233)Time elapsed: 0.070 s
% 10.88/2.45 % (3264233)Peak memory usage: 91 MB
% 10.88/2.45 % (3264233)Instructions burned: 114 (million)
% 10.88/2.45 % (3264235)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3327612421:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.88/2.45 % (3264235)Instruction limit reached!
% 10.88/2.45 % (3264235)------------------------------
% 10.88/2.45 % (3264235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264235)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264235)Termination reason: Instruction limit
% 10.88/2.45 % (3264235)Termination phase: Saturation
% 10.88/2.45 % (3264235)Time elapsed: 0.057 s
% 10.88/2.45 % (3264235)Peak memory usage: 89 MB
% 10.88/2.45 % (3264235)Instructions burned: 115 (million)
% 10.88/2.45 % (3264234)Instruction limit reached!
% 10.88/2.45 % (3264234)------------------------------
% 10.88/2.45 % (3264234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264234)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264234)Termination reason: Instruction limit
% 10.88/2.45 % (3264234)Termination phase: Saturation
% 10.88/2.45 % (3264234)Time elapsed: 0.071 s
% 10.88/2.45 % (3264234)Peak memory usage: 91 MB
% 10.88/2.45 % (3264234)Instructions burned: 127 (million)
% 10.88/2.45 % (3264240)lrs+10_1_sil=8000:sp=occurrence:random_seed=3897708492:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.88/2.45 % (3264241)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=655775378:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.88/2.45 % (3264242)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=824075829:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.88/2.45 % (3264241)Instruction limit reached!
% 10.88/2.45 % (3264241)------------------------------
% 10.88/2.45 % (3264241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264241)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264241)Termination reason: Instruction limit
% 10.88/2.45 % (3264241)Termination phase: Saturation
% 10.88/2.45 % (3264241)Time elapsed: 0.265 s
% 10.88/2.45 % (3264241)Peak memory usage: 95 MB
% 10.88/2.45 % (3264241)Instructions burned: 438 (million)
% 10.88/2.45 % (3264246)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1445309890:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.88/2.45 % (3264209)First to succeed.
% 10.88/2.45 % (3264209)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3264203"
% 10.88/2.45 % (3264246)Instruction limit reached!
% 10.88/2.45 % (3264246)------------------------------
% 10.88/2.45 % (3264246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264246)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264246)Termination reason: Instruction limit
% 10.88/2.45 % (3264246)Termination phase: Saturation
% 10.88/2.45 % (3264246)Time elapsed: 0.075 s
% 10.88/2.45 % (3264246)Peak memory usage: 91 MB
% 10.88/2.45 % (3264246)Instructions burned: 134 (million)
% 10.88/2.45 % (3264232)Instruction limit reached!
% 10.88/2.45 % (3264232)------------------------------
% 10.88/2.45 % (3264232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264232)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264232)Termination reason: Instruction limit
% 10.88/2.45 % (3264232)Termination phase: Saturation
% 10.88/2.45 % (3264232)Time elapsed: 0.807 s
% 10.88/2.45 % (3264232)Peak memory usage: 148 MB
% 10.88/2.45 % (3264232)Instructions burned: 2352 (million)
% 10.88/2.45 % (3264240)Instruction limit reached!
% 10.88/2.45 % (3264240)------------------------------
% 10.88/2.45 % (3264240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.45 % (3264240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.45 % (3264240)CaDiCaL version: 2.1.3
% 10.88/2.45 % (3264240)Termination reason: Instruction limit
% 10.88/2.45 % (3264240)Termination phase: Saturation
% 10.88/2.45 % (3264240)Time elapsed: 0.586 s
% 10.88/2.45 % (3264240)Peak memory usage: 102 MB
% 10.88/2.45 % (3264240)Instructions burned: 908 (million)
% 10.88/2.45 % (3264248)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1804814940:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.88/2.45 % (3264249)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2212752770:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 10.88/2.45 % (3264209)Refutation found. Thanks to Tanya!
% 11.75/2.64 % SZS status Theorem for theBenchmark
% 11.75/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 11.75/2.64 % (3264209)------------------------------
% 11.75/2.64 % (3264209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/2.64 % (3264209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.64 % (3264209)CaDiCaL version: 2.1.3
% 11.75/2.64 % (3264209)Termination reason: Refutation
% 11.75/2.64 % (3264209)Time elapsed: 1.169 s
% 11.75/2.64 % (3264209)Peak memory usage: 149 MB
% 11.75/2.64 % (3264209)Instructions burned: 1815 (million)
% 11.75/2.64 % (3264209)------------------------------
% 11.75/2.64 % (3264209)------------------------------
% 11.75/2.64 % (3264203)Success in time 1.592 s
% 11.75/2.64 % Vampire exiting
%------------------------------------------------------------------------------