%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM055-1 : 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 : n001.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 4.07s 1.54s
% Output : Refutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 59 ( 31 unt; 0 def)
% Number of atoms : 93 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass2) ).
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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
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(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
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(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ asymmetric(X0,X1)
| restrict(intersection(X0,inverse(X0)),X1,X1) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asymmetric1) ).
fof(f130,plain,
! [X0,X1] :
( ~ asymmetric(X0,X1)
| null_class = restrict(intersection(X0,inverse(X0)),X1,X1) ),
inference(reorient_equations,[],[f129]) ).
fof(f131,axiom,
! [X0,X1] :
( restrict(intersection(X0,inverse(X0)),X1,X1) != null_class
| asymmetric(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asymmetric2) ).
fof(f132,plain,
! [X0,X1] :
( null_class != restrict(intersection(X0,inverse(X0)),X1,X1)
| asymmetric(X0,X1) ),
inference(reorient_equations,[],[f131]) ).
fof(f176,negated_conjecture,
asymmetric(xr,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_asymmetric_class_property2_1) ).
fof(f177,negated_conjecture,
subclass(z,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_asymmetric_class_property2_2) ).
fof(f178,negated_conjecture,
~ asymmetric(xr,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_asymmetric_class_property2_3) ).
fof(f179,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(f196,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,f179]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f179]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f179]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f179]) ).
fof(f202,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f251,plain,
! [X0,X1] :
( ~ asymmetric(X0,X1)
| null_class = intersection(intersection(X0,domain_of(flip(cross_product(X0,universal_class)))),cross_product(X1,X1)) ),
inference(definition_unfolding,[],[f130,f28,f39]) ).
fof(f252,plain,
! [X0,X1] :
( null_class != intersection(intersection(X0,domain_of(flip(cross_product(X0,universal_class)))),cross_product(X1,X1))
| asymmetric(X0,X1) ),
inference(definition_unfolding,[],[f132,f28,f39]) ).
fof(f270,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f275,plain,
null_class != intersection(intersection(xr,domain_of(flip(cross_product(xr,universal_class)))),cross_product(z,z)),
inference(unit_resulting_resolution,[],[f252,f178]) ).
fof(f276,plain,
null_class != intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))),
inference(forward_demodulation,[],[f275,f202]) ).
fof(f277,plain,
null_class = intersection(intersection(xr,domain_of(flip(cross_product(xr,universal_class)))),cross_product(y,y)),
inference(unit_resulting_resolution,[],[f251,f176]) ).
fof(f278,plain,
null_class = intersection(cross_product(y,y),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))),
inference(forward_demodulation,[],[f277,f202]) ).
fof(f288,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f289,plain,
! [X0] :
( ~ member(X0,intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))
| member(X0,null_class)
| ~ member(X0,cross_product(y,y)) ),
inference(superposition,[],[f23,f278]) ).
fof(f292,plain,
member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),
inference(unit_resulting_resolution,[],[f68,f276]) ).
fof(f293,plain,
member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))),
inference(unit_resulting_resolution,[],[f22,f292]) ).
fof(f294,plain,
member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),cross_product(z,z)),
inference(unit_resulting_resolution,[],[f21,f292]) ).
fof(f376,plain,
~ member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),complement(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),
inference(unit_resulting_resolution,[],[f24,f292]) ).
fof(f399,plain,
regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))) = unordered_pair(unordered_pair(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))))),unordered_pair(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),unordered_pair(second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))))))),
inference(unit_resulting_resolution,[],[f199,f294]) ).
fof(f400,plain,
! [X0,X1] :
( ~ member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),cross_product(X0,X1))
| member(second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),X1) ),
inference(superposition,[],[f197,f399]) ).
fof(f401,plain,
! [X0,X1] :
( ~ member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),cross_product(X0,X1))
| member(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),X0) ),
inference(superposition,[],[f196,f399]) ).
fof(f403,plain,
member(second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),z),
inference(unit_resulting_resolution,[],[f400,f294]) ).
fof(f419,plain,
member(second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),y),
inference(unit_resulting_resolution,[],[f1,f177,f403]) ).
fof(f422,plain,
member(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),z),
inference(unit_resulting_resolution,[],[f401,f294]) ).
fof(f440,plain,
member(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),y),
inference(unit_resulting_resolution,[],[f1,f177,f422]) ).
fof(f486,plain,
member(unordered_pair(unordered_pair(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))))),unordered_pair(first(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),unordered_pair(second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),second(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))))))),cross_product(y,y)),
inference(unit_resulting_resolution,[],[f198,f440,f419]) ).
fof(f494,plain,
member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),cross_product(y,y)),
inference(forward_demodulation,[],[f486,f399]) ).
fof(f497,plain,
member(regular(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),null_class),
inference(unit_resulting_resolution,[],[f289,f293,f494]) ).
fof(f545,plain,
null_class = complement(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))),
inference(unit_resulting_resolution,[],[f288,f376,f497]) ).
fof(f587,plain,
~ subclass(null_class,complement(intersection(cross_product(z,z),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))))),
inference(unit_resulting_resolution,[],[f1,f376,f497]) ).
fof(f591,plain,
~ subclass(null_class,null_class),
inference(forward_demodulation,[],[f587,f545]) ).
fof(f593,plain,
$false,
inference(forward_subsumption_resolution,[],[f591,f270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM055-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.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 : Sun Sep 27 18:50:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 4.07/1.54 % (3888144)Input is clausal, will run a generic CNF schedule.
% 4.07/1.54 % (3888150)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=658226802:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.07/1.54 % (3888155)dis-21_1_sil=8000:lcm=predicate:random_seed=2397828827: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)
% 4.07/1.54 % (3888149)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=3144176102:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.07/1.54 % (3888151)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1122156480:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.07/1.54 % (3888153)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3383667697:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.07/1.54 % (3888152)lrs+10_1_sil=8000:sp=occurrence:random_seed=2530601211:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.07/1.54 % (3888154)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=207762490:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.07/1.54 % (3888152)Refutation not found, incomplete strategy
% 4.07/1.54 % (3888152)------------------------------
% 4.07/1.54 % (3888152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888152)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888152)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.54 % (3888152)Time elapsed: 0.004 s
% 4.07/1.54 % (3888152)Peak memory usage: 88 MB
% 4.07/1.54 % (3888152)Instructions burned: 3 (million)
% 4.07/1.54 % (3888155)Instruction limit reached!
% 4.07/1.54 % (3888155)------------------------------
% 4.07/1.54 % (3888155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888155)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888155)Termination reason: Instruction limit
% 4.07/1.54 % (3888155)Termination phase: Saturation
% 4.07/1.54 % (3888155)Time elapsed: 0.068 s
% 4.07/1.54 % (3888155)Peak memory usage: 89 MB
% 4.07/1.54 % (3888155)Instructions burned: 118 (million)
% 4.07/1.54 % (3888153)Instruction limit reached!
% 4.07/1.54 % (3888153)------------------------------
% 4.07/1.54 % (3888153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888153)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888153)Termination reason: Instruction limit
% 4.07/1.54 % (3888153)Termination phase: Saturation
% 4.07/1.54 % (3888153)Time elapsed: 0.070 s
% 4.07/1.54 % (3888153)Peak memory usage: 89 MB
% 4.07/1.54 % (3888153)Instructions burned: 115 (million)
% 4.07/1.54 % (3888154)Instruction limit reached!
% 4.07/1.54 % (3888154)------------------------------
% 4.07/1.54 % (3888154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888154)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888154)Termination reason: Instruction limit
% 4.07/1.54 % (3888154)Termination phase: Saturation
% 4.07/1.54 % (3888154)Time elapsed: 0.137 s
% 4.07/1.54 % (3888154)Peak memory usage: 90 MB
% 4.07/1.54 % (3888154)Instructions burned: 181 (million)
% 4.07/1.54 % (3888164)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3796265547: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)
% 4.07/1.54 % (3888163)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=2766773814:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.07/1.54 % (3888163)Refutation not found, incomplete strategy
% 4.07/1.54 % (3888163)------------------------------
% 4.07/1.54 % (3888163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888163)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888163)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.54 % (3888163)Time elapsed: 0.002 s
% 4.07/1.54 % (3888163)Peak memory usage: 88 MB
% 4.07/1.54 % (3888163)Instructions burned: 1 (million)
% 4.07/1.54 % (3888152)------------------------------
% 4.07/1.54 % (3888152)------------------------------
% 4.07/1.54 % (3888165)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2282404981:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.07/1.54 % (3888165)Refutation not found, incomplete strategy
% 4.07/1.54 % (3888165)------------------------------
% 4.07/1.54 % (3888165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888165)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888165)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.54 % (3888165)Time elapsed: 0.003 s
% 4.07/1.54 % (3888165)Peak memory usage: 88 MB
% 4.07/1.54 % (3888165)Instructions burned: 4 (million)
% 4.07/1.54 % (3888164)Instruction limit reached!
% 4.07/1.54 % (3888164)------------------------------
% 4.07/1.54 % (3888164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888164)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888164)Termination reason: Instruction limit
% 4.07/1.54 % (3888164)Termination phase: Saturation
% 4.07/1.54 % (3888164)Time elapsed: 0.094 s
% 4.07/1.54 % (3888164)Peak memory usage: 90 MB
% 4.07/1.54 % (3888164)Instructions burned: 190 (million)
% 4.07/1.54 % (3888150)First to succeed.
% 4.07/1.54 % (3888150)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3888144"
% 4.07/1.54 % (3888168)lrs+10_64_to=lpo:sil=8000:random_seed=1683931981:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.07/1.54 % (3888170)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4230234649:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.07/1.54 % (3888163)------------------------------
% 4.07/1.54 % (3888163)------------------------------
% 4.07/1.54 % (3888168)Instruction limit reached!
% 4.07/1.54 % (3888168)------------------------------
% 4.07/1.54 % (3888168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.54 % (3888168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.54 % (3888168)CaDiCaL version: 2.1.3
% 4.07/1.54 % (3888168)Termination reason: Instruction limit
% 4.07/1.54 % (3888168)Termination phase: Saturation
% 4.07/1.54 % (3888168)Time elapsed: 0.081 s
% 4.07/1.54 % (3888168)Peak memory usage: 90 MB
% 4.07/1.54 % (3888168)Instructions burned: 127 (million)
% 4.07/1.54 % (3888150)Refutation found. Thanks to Tanya!
% 4.07/1.54 % SZS status Unsatisfiable for theBenchmark
% 4.07/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.17/1.63 % (3888150)------------------------------
% 5.17/1.63 % (3888150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.63 % (3888150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.63 % (3888150)CaDiCaL version: 2.1.3
% 5.17/1.63 % (3888150)Termination reason: Refutation
% 5.17/1.63 % (3888150)Time elapsed: 0.391 s
% 5.17/1.63 % (3888150)Peak memory usage: 130 MB
% 5.17/1.63 % (3888150)Instructions burned: 1065 (million)
% 5.17/1.63 % (3888150)------------------------------
% 5.17/1.63 % (3888150)------------------------------
% 5.17/1.63 % (3888144)Success in time 0.659 s
% 5.17/1.63 % Vampire exiting
%------------------------------------------------------------------------------