%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET222-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:40:33 PM UTC 2026
% Result : Unsatisfiable 8.27s 2.17s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f122,negated_conjecture,
~ subclass(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property4_1) ).
fof(f127,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(f136,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,f127]) ).
fof(f137,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,f127]) ).
fof(f138,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,f127]) ).
fof(f139,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,f127]) ).
fof(f189,plain,
member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),intersection(cross_product(w,x),cross_product(y,z))),
inference(unit_resulting_resolution,[],[f2,f122]) ).
fof(f190,plain,
~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(w,z)),
inference(unit_resulting_resolution,[],[f3,f122]) ).
fof(f195,plain,
member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(y,z)),
inference(unit_resulting_resolution,[],[f22,f189]) ).
fof(f196,plain,
member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(w,x)),
inference(unit_resulting_resolution,[],[f21,f189]) ).
fof(f201,plain,
not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),unordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),unordered_pair(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))))),
inference(unit_resulting_resolution,[],[f139,f196]) ).
fof(f211,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(X0,X1))
| member(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),X1) ),
inference(superposition,[],[f137,f201]) ).
fof(f212,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(X0,X1))
| ~ member(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),X1)
| ~ member(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),X0) ),
inference(superposition,[],[f138,f201]) ).
fof(f213,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(X0,X1))
| member(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),X0) ),
inference(superposition,[],[f136,f201]) ).
fof(f214,plain,
member(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),w),
inference(unit_resulting_resolution,[],[f213,f196]) ).
fof(f236,plain,
~ member(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),z),
inference(unit_resulting_resolution,[],[f212,f214,f190]) ).
fof(f237,plain,
member(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),z),
inference(unit_resulting_resolution,[],[f211,f195]) ).
fof(f256,plain,
$false,
inference(forward_subsumption_resolution,[],[f237,f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET222-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n004.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 01:08:22 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.96/1.98 % (4052133)Input is clausal, will run a generic CNF schedule.
% 6.96/1.98 % (4052144)dis-21_1_sil=8000:lcm=predicate:random_seed=1188471395: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)
% 6.96/1.98 % (4052140)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1825204869:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.96/1.98 % (4052142)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3430809077:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.96/1.98 % (4052143)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4170383182:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.96/1.98 % (4052139)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2556504374:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.96/1.98 % (4052141)lrs+10_1_sil=8000:sp=occurrence:random_seed=2271190414:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.96/1.98 % (4052138)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=780632137:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.96/1.98 % (4052141)Refutation not found, incomplete strategy
% 6.96/1.98 % (4052141)------------------------------
% 6.96/1.98 % (4052141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052141)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052141)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.98 % (4052141)Time elapsed: 0.002 s
% 6.96/1.98 % (4052141)Peak memory usage: 87 MB
% 6.96/1.98 % (4052141)Instructions burned: 1 (million)
% 6.96/1.98 % (4052142)Refutation not found, incomplete strategy
% 6.96/1.98 % (4052142)------------------------------
% 6.96/1.98 % (4052142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052142)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052142)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.98 % (4052142)Time elapsed: 0.004 s
% 6.96/1.98 % (4052142)Peak memory usage: 88 MB
% 6.96/1.98 % (4052142)Instructions burned: 4 (million)
% 6.96/1.98 % (4052144)Instruction limit reached!
% 6.96/1.98 % (4052144)------------------------------
% 6.96/1.98 % (4052144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052144)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052144)Termination reason: Instruction limit
% 6.96/1.98 % (4052144)Termination phase: Saturation
% 6.96/1.98 % (4052144)Time elapsed: 0.040 s
% 6.96/1.98 % (4052144)Peak memory usage: 89 MB
% 6.96/1.98 % (4052144)Instructions burned: 120 (million)
% 6.96/1.98 % (4052143)Instruction limit reached!
% 6.96/1.98 % (4052143)------------------------------
% 6.96/1.98 % (4052143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052143)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052143)Termination reason: Instruction limit
% 6.96/1.98 % (4052143)Termination phase: Saturation
% 6.96/1.98 % (4052143)Time elapsed: 0.129 s
% 6.96/1.98 % (4052143)Peak memory usage: 90 MB
% 6.96/1.98 % (4052143)Instructions burned: 180 (million)
% 6.96/1.98 % (4052152)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=2588311948:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.96/1.98 % (4052152)Refutation not found, incomplete strategy
% 6.96/1.98 % (4052152)------------------------------
% 6.96/1.98 % (4052152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052152)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052152)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.98 % (4052152)Time elapsed: 0.002 s
% 6.96/1.98 % (4052152)Peak memory usage: 88 MB
% 6.96/1.98 % (4052152)Instructions burned: 3 (million)
% 6.96/1.98 % (4052142)------------------------------
% 6.96/1.98 % (4052142)------------------------------
% 6.96/1.98 % (4052141)------------------------------
% 6.96/1.98 % (4052141)------------------------------
% 6.96/1.98 % (4052152)------------------------------
% 6.96/1.98 % (4052152)------------------------------
% 6.96/1.98 % (4052153)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2850028717:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.96/1.98 % (4052153)Refutation not found, incomplete strategy
% 6.96/1.98 % (4052153)------------------------------
% 6.96/1.98 % (4052153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052153)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052153)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.98 % (4052153)Time elapsed: 0.011 s
% 6.96/1.98 % (4052153)Peak memory usage: 88 MB
% 6.96/1.98 % (4052153)Instructions burned: 20 (million)
% 6.96/1.98 % (4052155)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=976968622:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.96/1.98 % (4052156)lrs+10_64_to=lpo:sil=8000:random_seed=1089807484:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.96/1.98 % (4052155)Refutation not found, incomplete strategy
% 6.96/1.98 % (4052155)------------------------------
% 6.96/1.98 % (4052155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052155)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052155)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.98 % (4052155)Time elapsed: 0.003 s
% 6.96/1.98 % (4052155)Peak memory usage: 87 MB
% 6.96/1.98 % (4052155)Instructions burned: 4 (million)
% 6.96/1.98 % (4052157)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=774477758:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.96/1.98 % (4052156)Instruction limit reached!
% 6.96/1.98 % (4052156)------------------------------
% 6.96/1.98 % (4052156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052156)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052156)Termination reason: Instruction limit
% 6.96/1.98 % (4052156)Termination phase: Saturation
% 6.96/1.98 % (4052156)Time elapsed: 0.077 s
% 6.96/1.98 % (4052156)Peak memory usage: 89 MB
% 6.96/1.98 % (4052156)Instructions burned: 126 (million)
% 6.96/1.98 % (4052157)Instruction limit reached!
% 6.96/1.98 % (4052157)------------------------------
% 6.96/1.98 % (4052157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.98 % (4052157)CaDiCaL version: 2.1.3
% 6.96/1.98 % (4052157)Termination reason: Instruction limit
% 6.96/1.98 % (4052157)Termination phase: Saturation
% 6.96/1.98 % (4052157)Time elapsed: 0.068 s
% 6.96/1.98 % (4052157)Peak memory usage: 90 MB
% 6.96/1.98 % (4052157)Instructions burned: 197 (million)
% 6.96/1.98 % (4052153)------------------------------
% 6.96/1.98 % (4052153)------------------------------
% 6.96/1.98 % (4052163)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3658877155:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.96/1.98 % (4052162)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=195376249:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.96/1.98 % (4052139)First to succeed.
% 6.96/1.98 % (4052139)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4052133"
% 6.96/1.98 % (4052155)------------------------------
% 6.96/1.98 % (4052155)------------------------------
% 6.96/1.98 % (4052138)Also succeeded, but the first one will report.
% 6.96/1.98 % (4052140)Also succeeded, but the first one will report.
% 6.96/1.98 % (4052164)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=3875799064:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.96/1.98 % (4052162)Instruction limit reached!
% 6.96/1.98 % (4052162)------------------------------
% 6.96/1.98 % (4052162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.98 % (4052162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/2.17 % (4052162)CaDiCaL version: 2.1.3
% 8.27/2.17 % (4052162)Termination reason: Instruction limit
% 8.27/2.17 % (4052162)Termination phase: Saturation
% 8.27/2.17 % (4052162)Time elapsed: 0.109 s
% 8.27/2.17 % (4052162)Peak memory usage: 91 MB
% 8.27/2.17 % (4052162)Instructions burned: 159 (million)
% 8.27/2.17 % (4052164)Instruction limit reached!
% 8.27/2.17 % (4052164)------------------------------
% 8.27/2.17 % (4052164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/2.17 % (4052164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/2.17 % (4052164)CaDiCaL version: 2.1.3
% 8.27/2.17 % (4052164)Termination reason: Instruction limit
% 8.27/2.17 % (4052164)Termination phase: Saturation
% 8.27/2.17 % (4052164)Time elapsed: 0.065 s
% 8.27/2.17 % (4052164)Peak memory usage: 90 MB
% 8.27/2.17 % (4052164)Instructions burned: 107 (million)
% 8.27/2.17 % (4052167)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=420126781:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.27/2.17 % (4052167)Instruction limit reached!
% 8.27/2.17 % (4052167)------------------------------
% 8.27/2.17 % (4052167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/2.17 % (4052167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/2.17 % (4052167)CaDiCaL version: 2.1.3
% 8.27/2.17 % (4052167)Termination reason: Instruction limit
% 8.27/2.17 % (4052167)Termination phase: Saturation
% 8.27/2.17 % (4052167)Time elapsed: 0.074 s
% 8.27/2.17 % (4052167)Peak memory usage: 89 MB
% 8.27/2.17 % (4052167)Instructions burned: 108 (million)
% 8.27/2.17 % (4052139)Refutation found. Thanks to Tanya!
% 8.27/2.17 % SZS status Unsatisfiable for theBenchmark
% 8.27/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 8.27/2.17 % (4052139)------------------------------
% 8.27/2.17 % (4052139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/2.17 % (4052139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/2.17 % (4052139)CaDiCaL version: 2.1.3
% 8.27/2.17 % (4052139)Termination reason: Refutation
% 8.27/2.17 % (4052139)Time elapsed: 0.652 s
% 8.27/2.17 % (4052139)Peak memory usage: 127 MB
% 8.27/2.17 % (4052139)Instructions burned: 982 (million)
% 8.27/2.17 % (4052139)------------------------------
% 8.27/2.17 % (4052139)------------------------------
% 8.27/2.17 % (4052133)Success in time 1.096 s
% 8.27/2.17 % Vampire exiting
%------------------------------------------------------------------------------