%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM057-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:11:40 PM UTC 2026
% Result : Unsatisfiable 21.42s 3.98s
% Output : Refutation 22.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 20 unt; 0 def)
% Number of atoms : 56 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f133,axiom,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(restrict(X0,X1,singleton(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment) ).
fof(f176,negated_conjecture,
~ subclass(segment(xr,y,z),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_segments_property1_1) ).
fof(f177,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f191,plain,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(intersection(X0,cross_product(X1,unordered_pair(X2,X2)))),
inference(definition_unfolding,[],[f133,f28,f12]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f177]) ).
fof(f197,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f177]) ).
fof(f201,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f267,plain,
~ subclass(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),
inference(definition_unfolding,[],[f176,f191]) ).
fof(f274,plain,
member(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),
inference(unit_resulting_resolution,[],[f2,f267]) ).
fof(f275,plain,
~ member(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),y),
inference(unit_resulting_resolution,[],[f3,f267]) ).
fof(f297,plain,
null_class != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)),
inference(unit_resulting_resolution,[],[f201,f274]) ).
fof(f317,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f194,f197]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(factoring,[],[f317]) ).
fof(f419,plain,
member(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))),
inference(unit_resulting_resolution,[],[f68,f297]) ).
fof(f440,plain,
member(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)),
inference(resolution,[],[f419,f22]) ).
fof(f441,plain,
member(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))),intersection(xr,cross_product(y,unordered_pair(z,z)))),
inference(resolution,[],[f419,f21]) ).
fof(f516,plain,
regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))),first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))))),unordered_pair(first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))),unordered_pair(second(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))),second(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))))))),
inference(unit_resulting_resolution,[],[f197,f440]) ).
fof(f551,plain,
member(first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))),unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y))),
inference(resolution,[],[f440,f322]) ).
fof(f748,plain,
( not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y) = first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))))
| not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y) = first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))) ),
inference(resolution,[],[f551,f8]) ).
fof(f750,plain,
not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y) = first(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))),
inference(duplicate_literal_removal,[],[f748]) ).
fof(f751,plain,
regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))) = unordered_pair(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),unordered_pair(second(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class)))),second(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))))))),
inference(backward_demodulation,[],[f516,f750]) ).
fof(f791,plain,
! [X0,X1] :
( ~ member(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))),cross_product(X0,X1))
| member(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),X0) ),
inference(superposition,[],[f194,f751]) ).
fof(f796,plain,
! [X0] : ~ member(regular(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),y)),universal_class))),cross_product(y,X0)),
inference(unit_resulting_resolution,[],[f791,f275]) ).
fof(f814,plain,
$false,
inference(unit_resulting_resolution,[],[f22,f441,f796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM057-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 18:46:16 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 11.84/2.57 % (1099732)Input is clausal, will run a generic CNF schedule.
% 11.84/2.57 % (1099738)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4219921473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.84/2.57 % (1099739)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=629719140:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.84/2.57 % (1099737)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=464916640:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.84/2.57 % (1099743)dis-21_1_sil=8000:lcm=predicate:random_seed=3141425021:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.84/2.57 % (1099741)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3969590144:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.84/2.57 % (1099740)lrs+10_1_sil=8000:sp=occurrence:random_seed=2825641743:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.84/2.57 % (1099742)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=795824860:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.84/2.57 % (1099740)Instruction limit reached!
% 11.84/2.57 % (1099740)------------------------------
% 11.84/2.57 % (1099740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/2.57 % (1099740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.57 % (1099740)CaDiCaL version: 2.1.3
% 11.84/2.57 % (1099740)Termination reason: Instruction limit
% 11.84/2.57 % (1099740)Termination phase: Saturation
% 11.84/2.57 % (1099740)Time elapsed: 0.040 s
% 11.84/2.57 % (1099740)Peak memory usage: 88 MB
% 11.84/2.57 % (1099740)Instructions burned: 107 (million)
% 11.84/2.57 % (1099743)Instruction limit reached!
% 11.84/2.57 % (1099743)------------------------------
% 11.84/2.57 % (1099743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/2.57 % (1099743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.57 % (1099743)CaDiCaL version: 2.1.3
% 11.84/2.57 % (1099743)Termination reason: Instruction limit
% 11.84/2.57 % (1099743)Termination phase: Saturation
% 11.84/2.57 % (1099743)Time elapsed: 0.058 s
% 11.84/2.57 % (1099743)Peak memory usage: 89 MB
% 11.84/2.57 % (1099743)Instructions burned: 118 (million)
% 11.84/2.57 % (1099741)Instruction limit reached!
% 11.84/2.57 % (1099741)------------------------------
% 11.84/2.57 % (1099741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/2.57 % (1099741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.57 % (1099741)CaDiCaL version: 2.1.3
% 11.84/2.57 % (1099741)Termination reason: Instruction limit
% 11.84/2.57 % (1099741)Termination phase: Saturation
% 11.84/2.57 % (1099741)Time elapsed: 0.071 s
% 11.84/2.57 % (1099741)Peak memory usage: 89 MB
% 11.84/2.57 % (1099741)Instructions burned: 115 (million)
% 11.84/2.57 % (1099742)Instruction limit reached!
% 11.84/2.57 % (1099742)------------------------------
% 11.84/2.57 % (1099742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/2.57 % (1099742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.57 % (1099742)CaDiCaL version: 2.1.3
% 11.84/2.57 % (1099742)Termination reason: Instruction limit
% 11.84/2.57 % (1099742)Termination phase: Saturation
% 11.84/2.57 % (1099742)Time elapsed: 0.140 s
% 11.84/2.57 % (1099742)Peak memory usage: 91 MB
% 11.84/2.57 % (1099742)Instructions burned: 180 (million)
% 11.84/2.57 % (1099751)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2819459716:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.84/2.57 % (1099751)Refutation not found, incomplete strategy
% 11.84/2.57 % (1099751)------------------------------
% 11.84/2.57 % (1099751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/2.57 % (1099751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.57 % (1099751)CaDiCaL version: 2.1.3
% 11.84/2.57 % (1099751)Termination reason: Refutation not found, incomplete strategy
% 11.84/2.57 % (1099751)Time elapsed: 0.003 s
% 11.84/2.57 % (1099751)Peak memory usage: 88 MB
% 11.84/2.57 % (1099751)Instructions burned: 2 (million)
% 11.84/2.57 % (1099752)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1784716427:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 20.92/3.89 % (1099752)Refutation not found, incomplete strategy
% 20.92/3.89 % (1099752)------------------------------
% 20.92/3.89 % (1099752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.92/3.89 % (1099752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/3.89 % (1099752)CaDiCaL version: 2.1.3
% 20.92/3.89 % (1099752)Termination reason: Refutation not found, incomplete strategy
% 20.92/3.89 % (1099752)Time elapsed: 0.009 s
% 20.92/3.89 % (1099752)Peak memory usage: 88 MB
% 20.92/3.89 % (1099752)Instructions burned: 14 (million)
% 20.92/3.89 % (1099753)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3220377247:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 20.92/3.89 % (1099753)Refutation not found, incomplete strategy
% 20.92/3.89 % (1099753)------------------------------
% 20.92/3.89 % (1099753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.92/3.89 % (1099753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/3.89 % (1099753)CaDiCaL version: 2.1.3
% 20.92/3.89 % (1099753)Termination reason: Refutation not found, incomplete strategy
% 20.92/3.89 % (1099753)Time elapsed: 0.004 s
% 20.92/3.89 % (1099753)Peak memory usage: 88 MB
% 20.92/3.89 % (1099753)Instructions burned: 4 (million)
% 20.92/3.89 % (1099754)lrs+10_64_to=lpo:sil=8000:random_seed=732966512:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 20.92/3.89 % (1099754)Instruction limit reached!
% 20.92/3.89 % (1099754)------------------------------
% 20.92/3.89 % (1099754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.92/3.89 % (1099754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/3.89 % (1099754)CaDiCaL version: 2.1.3
% 20.92/3.89 % (1099754)Termination reason: Instruction limit
% 20.92/3.89 % (1099754)Termination phase: Saturation
% 20.92/3.89 % (1099754)Time elapsed: 0.079 s
% 20.92/3.89 % (1099754)Peak memory usage: 89 MB
% 20.92/3.89 % (1099754)Instructions burned: 127 (million)
% 20.92/3.89 % (1099751)------------------------------
% 20.92/3.89 % (1099751)------------------------------
% 20.92/3.89 % (1099752)------------------------------
% 20.92/3.89 % (1099752)------------------------------
% 20.92/3.89 % (1099753)------------------------------
% 20.92/3.89 % (1099753)------------------------------
% 20.92/3.89 % (1099759)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3462242416:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 20.92/3.89 % (1099760)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4200081190:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 20.92/3.89 % (1099761)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3221336547:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 20.92/3.89 % (1099762)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3056785460:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 20.92/3.89 % (1099759)Instruction limit reached!
% 20.92/3.89 % (1099759)------------------------------
% 20.92/3.89 % (1099759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.92/3.89 % (1099759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/3.89 % (1099759)CaDiCaL version: 2.1.3
% 20.92/3.89 % (1099759)Termination reason: Instruction limit
% 20.92/3.89 % (1099759)Termination phase: Saturation
% 20.92/3.89 % (1099759)Time elapsed: 0.091 s
% 20.92/3.89 % (1099759)Peak memory usage: 89 MB
% 20.92/3.89 % (1099759)Instructions burned: 194 (million)
% 20.92/3.89 % (1099760)Instruction limit reached!
% 20.92/3.89 % (1099760)------------------------------
% 20.92/3.89 % (1099760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.92/3.89 % (1099760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/3.89 % (1099760)CaDiCaL version: 2.1.3
% 20.92/3.89 % (1099760)Termination reason: Instruction limit
% 20.92/3.89 % (1099760)Termination phase: Saturation
% 20.92/3.89 % (1099760)Time elapsed: 0.110 s
% 20.92/3.89 % (1099760)Peak memory usage: 91 MB
% 20.92/3.89 % (1099760)Instructions burned: 158 (million)
% 20.92/3.89 % (1099762)Instruction limit reached!
% 20.92/3.89 % (1099762)------------------------------
% 21.42/3.98 % (1099762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099762)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099762)Termination reason: Instruction limit
% 21.42/3.98 % (1099762)Termination phase: Saturation
% 21.42/3.98 % (1099762)Time elapsed: 0.063 s
% 21.42/3.98 % (1099762)Peak memory usage: 90 MB
% 21.42/3.98 % (1099762)Instructions burned: 107 (million)
% 21.42/3.98 % (1099767)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1875660136:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 21.42/3.98 % (1099768)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3858082526:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 21.42/3.98 % (1099769)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1420479597:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 21.42/3.98 % (1099767)Instruction limit reached!
% 21.42/3.98 % (1099767)------------------------------
% 21.42/3.98 % (1099767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099767)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099767)Termination reason: Instruction limit
% 21.42/3.98 % (1099767)Termination phase: Saturation
% 21.42/3.98 % (1099767)Time elapsed: 0.072 s
% 21.42/3.98 % (1099767)Peak memory usage: 89 MB
% 21.42/3.98 % (1099767)Instructions burned: 108 (million)
% 21.42/3.98 % (1099768)Instruction limit reached!
% 21.42/3.98 % (1099768)------------------------------
% 21.42/3.98 % (1099768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099768)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099768)Termination reason: Instruction limit
% 21.42/3.98 % (1099768)Termination phase: Saturation
% 21.42/3.98 % (1099768)Time elapsed: 0.159 s
% 21.42/3.98 % (1099768)Peak memory usage: 90 MB
% 21.42/3.98 % (1099768)Instructions burned: 243 (million)
% 21.42/3.98 % (1099773)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=853153519:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 21.42/3.98 % (1099773)Refutation not found, incomplete strategy
% 21.42/3.98 % (1099773)------------------------------
% 21.42/3.98 % (1099773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099773)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099773)Termination reason: Refutation not found, incomplete strategy
% 21.42/3.98 % (1099773)Time elapsed: 0.003 s
% 21.42/3.98 % (1099773)Peak memory usage: 88 MB
% 21.42/3.98 % (1099773)Instructions burned: 3 (million)
% 21.42/3.98 % (1099774)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3487290672:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 21.42/3.98 % (1099773)------------------------------
% 21.42/3.98 % (1099773)------------------------------
% 21.42/3.98 % (1099774)Instruction limit reached!
% 21.42/3.98 % (1099774)------------------------------
% 21.42/3.98 % (1099774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099774)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099774)Termination reason: Instruction limit
% 21.42/3.98 % (1099774)Termination phase: Saturation
% 21.42/3.98 % (1099774)Time elapsed: 0.295 s
% 21.42/3.98 % (1099774)Peak memory usage: 94 MB
% 21.42/3.98 % (1099774)Instructions burned: 500 (million)
% 21.42/3.98 % (1099777)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=80487252:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 21.42/3.98 % (1099777)Instruction limit reached!
% 21.42/3.98 % (1099777)------------------------------
% 21.42/3.98 % (1099777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099777)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099777)Termination reason: Instruction limit
% 21.42/3.98 % (1099777)Termination phase: Saturation
% 21.42/3.98 % (1099777)Time elapsed: 0.105 s
% 21.42/3.98 % (1099777)Peak memory usage: 89 MB
% 21.42/3.98 % (1099777)Instructions burned: 192 (million)
% 21.42/3.98 % (1099779)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1324272942:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 21.42/3.98 % (1099780)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1539778425:cond=on:i=156:bs=on:gtg=exists_all:er=known_2982 on theBenchmark for (2982ds/156Mi)
% 21.42/3.98 % (1099779)Instruction limit reached!
% 21.42/3.98 % (1099779)------------------------------
% 21.42/3.98 % (1099779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099779)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099779)Termination reason: Instruction limit
% 21.42/3.98 % (1099779)Termination phase: Saturation
% 21.42/3.98 % (1099779)Time elapsed: 0.173 s
% 21.42/3.98 % (1099779)Peak memory usage: 91 MB
% 21.42/3.98 % (1099779)Instructions burned: 265 (million)
% 21.42/3.98 % (1099780)Instruction limit reached!
% 21.42/3.98 % (1099780)------------------------------
% 21.42/3.98 % (1099780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099780)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099780)Termination reason: Instruction limit
% 21.42/3.98 % (1099780)Termination phase: Saturation
% 21.42/3.98 % (1099780)Time elapsed: 0.089 s
% 21.42/3.98 % (1099780)Peak memory usage: 89 MB
% 21.42/3.98 % (1099780)Instructions burned: 157 (million)
% 21.42/3.98 % (1099783)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2796244952:i=3256:kws=precedence:bd=preordered:av=off_2980 on theBenchmark for (2980ds/3256Mi)
% 21.42/3.98 % (1099784)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3208624195:i=537:av=off:ss=included_2980 on theBenchmark for (2980ds/537Mi)
% 21.42/3.98 % (1099784)Instruction limit reached!
% 21.42/3.98 % (1099784)------------------------------
% 21.42/3.98 % (1099784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099784)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099784)Termination reason: Instruction limit
% 21.42/3.98 % (1099784)Termination phase: Saturation
% 21.42/3.98 % (1099784)Time elapsed: 0.233 s
% 21.42/3.98 % (1099784)Peak memory usage: 88 MB
% 21.42/3.98 % (1099784)Instructions burned: 539 (million)
% 21.42/3.98 % (1099787)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3368900700:i=180:bd=preordered:av=off_2976 on theBenchmark for (2976ds/180Mi)
% 21.42/3.98 % (1099787)Instruction limit reached!
% 21.42/3.98 % (1099787)------------------------------
% 21.42/3.98 % (1099787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099787)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099787)Termination reason: Instruction limit
% 21.42/3.98 % (1099787)Termination phase: Saturation
% 21.42/3.98 % (1099787)Time elapsed: 0.092 s
% 21.42/3.98 % (1099787)Peak memory usage: 89 MB
% 21.42/3.98 % (1099787)Instructions burned: 181 (million)
% 21.42/3.98 % (1099789)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3889783403:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/10307Mi)
% 21.42/3.98 % (1099783)First to succeed.
% 21.42/3.98 % (1099783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1099732"
% 21.42/3.98 % (1099761)Instruction limit reached!
% 21.42/3.98 % (1099761)------------------------------
% 21.42/3.98 % (1099761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.42/3.98 % (1099761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.42/3.98 % (1099761)CaDiCaL version: 2.1.3
% 21.42/3.98 % (1099761)Termination reason: Instruction limit
% 21.42/3.98 % (1099761)Termination phase: Saturation
% 21.42/3.98 % (1099761)Time elapsed: 2.103 s
% 21.42/3.98 % (1099761)Peak memory usage: 148 MB
% 21.42/3.98 % (1099761)Instructions burned: 3394 (million)
% 21.42/3.98 % (1099791)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=279671864:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 21.42/3.98 % (1099783)Refutation found. Thanks to Tanya!
% 21.42/3.98 % SZS status Unsatisfiable for theBenchmark
% 21.42/3.98 % SZS output start Proof for theBenchmark
% See solution above
% 22.73/4.17 % (1099783)------------------------------
% 22.73/4.17 % (1099783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.73/4.17 % (1099783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.73/4.17 % (1099783)CaDiCaL version: 2.1.3
% 22.73/4.17 % (1099783)Termination reason: Refutation
% 22.73/4.17 % (1099783)Time elapsed: 0.757 s
% 22.73/4.17 % (1099783)Peak memory usage: 132 MB
% 22.73/4.17 % (1099783)Instructions burned: 1175 (million)
% 22.73/4.17 % (1099783)------------------------------
% 22.73/4.17 % (1099783)------------------------------
% 22.73/4.17 % (1099732)Success in time 3.136 s
% 22.73/4.17 % Vampire exiting
%------------------------------------------------------------------------------