%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU361+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:48:32 PM UTC 2026
% Result : Theorem 0.14s 1.80s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 170 ( 16 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 210 ( 77 ~; 68 |; 48 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 59 ( 52 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0] :
( rel_str(X0)
=> bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(f161,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( X2 = join_on_relstr(X0,X1)
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f206,axiom,
! [X0] :
( rel_str(X0)
=> element(bottom_of_relstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f605,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f610,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f611,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
inference(negated_conjecture,[status(cth)],[f610]) ).
fof(f660,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f825,plain,
! [X0] :
( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f950,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = join_on_relstr(X0,X1)
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f951,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = join_on_relstr(X0,X1)
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f950]) ).
fof(f985,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f206]) ).
fof(f1451,plain,
! [X0] :
( ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) )
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f605]) ).
fof(f1452,plain,
! [X0] :
( ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) )
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1451]) ).
fof(f1458,plain,
? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f611]) ).
fof(f1459,plain,
? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f1458]) ).
fof(f1529,plain,
! [X0] :
( ! [X1] :
( ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f660]) ).
fof(f1903,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f951]) ).
fof(f1904,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1903]) ).
fof(f1905,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f1904]) ).
fof(f1906,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK180(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK180(X0,X1,X2))
& element(sK180(X0,X1,X2),the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK180]),skolemize(X3,sK180(X0,X1,X2))],[f1905]) ).
fof(f2305,plain,
( ~ related(sK509,bottom_of_relstr(sK509),sK510)
& element(sK510,the_carrier(sK509))
& ~ empty_carrier(sK509)
& antisymmetric_relstr(sK509)
& lower_bounded_relstr(sK509)
& rel_str(sK509) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK509,sK510]),skolemize(X0,sK509),skolemize(X1,sK510)],[f1459]) ).
fof(f2460,plain,
! [X0] :
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf_transformation,[],[f825]) ).
fof(f2897,plain,
! [X2,X0,X1,X4] :
( join_on_relstr(X0,X1) != X2
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| related(X0,X2,X4)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1906]) ).
fof(f2938,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f985]) ).
fof(f4121,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1452]) ).
fof(f4129,plain,
rel_str(sK509),
inference(cnf_transformation,[],[f2305]) ).
fof(f4130,plain,
lower_bounded_relstr(sK509),
inference(cnf_transformation,[],[f2305]) ).
fof(f4131,plain,
antisymmetric_relstr(sK509),
inference(cnf_transformation,[],[f2305]) ).
fof(f4132,plain,
~ empty_carrier(sK509),
inference(cnf_transformation,[],[f2305]) ).
fof(f4133,plain,
element(sK510,the_carrier(sK509)),
inference(cnf_transformation,[],[f2305]) ).
fof(f4134,plain,
~ related(sK509,bottom_of_relstr(sK509),sK510),
inference(cnf_transformation,[],[f2305]) ).
fof(f4222,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,empty_set,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1529]) ).
fof(f4545,plain,
element(bottom_of_relstr(sK509),the_carrier(sK509)),
inference(unit_resulting_resolution,[],[f2938,f4129]) ).
fof(f4547,plain,
bottom_of_relstr(sK509) = join_on_relstr(sK509,empty_set),
inference(unit_resulting_resolution,[],[f2460,f4129]) ).
fof(f4551,plain,
ex_sup_of_relstr_set(sK509,empty_set),
inference(unit_resulting_resolution,[],[f4121,f4129,f4130,f4131,f4132]) ).
fof(f4577,plain,
relstr_set_smaller(sK509,empty_set,sK510),
inference(unit_resulting_resolution,[],[f4222,f4129,f4133]) ).
fof(f4647,plain,
$false,
inference(unit_resulting_resolution,[],[f2897,f4129,f4551,f4577,f4133,f4134,f4545,f4547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU361+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 04:54:07 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.11/1.60 % (810440)Detected formulas, will run a generic FOF schedule.
% 3.11/1.60 % (810447)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=3049587294:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.11/1.60 % (810448)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1111672598:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.11/1.60 % (810450)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3199499693:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.11/1.60 % (810449)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1369362790:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.11/1.60 % (810451)dis-21_1_sil=8000:lcm=predicate:random_seed=2102287852: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)
% 3.11/1.60 % (810445)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=4074665035:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.11/1.60 % (810446)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=3840317599:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.11/1.60 % (810448)Instruction limit reached!
% 3.11/1.60 % (810448)------------------------------
% 3.11/1.60 % (810448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.60 % (810448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.60 % (810448)CaDiCaL version: 2.1.3
% 3.11/1.60 % (810448)Termination reason: Instruction limit
% 3.11/1.60 % (810448)Termination phase: Saturation
% 3.11/1.60 % (810448)Time elapsed: 0.059 s
% 3.11/1.60 % (810448)Peak memory usage: 91 MB
% 3.11/1.60 % (810448)Instructions burned: 111 (million)
% 3.11/1.60 % (810451)Instruction limit reached!
% 3.11/1.60 % (810451)------------------------------
% 3.11/1.60 % (810451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.60 % (810451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.60 % (810451)CaDiCaL version: 2.1.3
% 3.11/1.60 % (810451)Termination reason: Instruction limit
% 3.11/1.60 % (810451)Termination phase: Saturation
% 3.11/1.60 % (810451)Time elapsed: 0.066 s
% 3.11/1.60 % (810451)Peak memory usage: 92 MB
% 3.11/1.60 % (810451)Instructions burned: 130 (million)
% 3.11/1.60 % (810449)Instruction limit reached!
% 3.11/1.60 % (810449)------------------------------
% 3.11/1.60 % (810449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.60 % (810449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.60 % (810449)CaDiCaL version: 2.1.3
% 3.11/1.60 % (810449)Termination reason: Instruction limit
% 3.11/1.60 % (810449)Termination phase: Saturation
% 3.11/1.60 % (810449)Time elapsed: 0.075 s
% 3.11/1.60 % (810449)Peak memory usage: 91 MB
% 3.11/1.60 % (810449)Instructions burned: 120 (million)
% 3.11/1.60 % (810450)Instruction limit reached!
% 3.11/1.60 % (810450)------------------------------
% 3.11/1.60 % (810450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.60 % (810450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.60 % (810450)CaDiCaL version: 2.1.3
% 3.11/1.60 % (810450)Termination reason: Instruction limit
% 3.11/1.60 % (810450)Termination phase: Saturation
% 3.11/1.60 % (810450)Time elapsed: 0.087 s
% 3.11/1.60 % (810450)Peak memory usage: 91 MB
% 3.11/1.60 % (810450)Instructions burned: 139 (million)
% 3.11/1.60 % (810459)lrs+10_1_sil=8000:sp=occurrence:random_seed=1097255210:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.11/1.60 % (810460)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3993689143:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.11/1.60 % (810460)Refutation not found, incomplete strategy
% 3.11/1.60 % (810460)------------------------------
% 3.11/1.60 % (810460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.60 % (810460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.60 % (810460)CaDiCaL version: 2.1.3
% 3.11/1.60 % (810460)Termination reason: Refutation not found, incomplete strategy
% 3.11/1.60 % (810460)Time elapsed: 0.007 s
% 0.14/1.80 % (810460)Peak memory usage: 89 MB
% 0.14/1.80 % (810460)Instructions burned: 10 (million)
% 0.14/1.80 % (810462)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=2201737098:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 0.14/1.80 % (810461)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1157776245:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 0.14/1.80 % (810462)First to succeed.
% 0.14/1.80 % (810462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-810440"
% 0.14/1.80 % (810459)Instruction limit reached!
% 0.14/1.80 % (810459)------------------------------
% 0.14/1.80 % (810459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.80 % (810459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.80 % (810459)CaDiCaL version: 2.1.3
% 0.14/1.80 % (810459)Termination reason: Instruction limit
% 0.14/1.80 % (810459)Termination phase: Saturation
% 0.14/1.80 % (810459)Time elapsed: 0.182 s
% 0.14/1.80 % (810459)Peak memory usage: 95 MB
% 0.14/1.80 % (810459)Instructions burned: 286 (million)
% 0.14/1.80 % (810461)Instruction limit reached!
% 0.14/1.80 % (810461)------------------------------
% 0.14/1.80 % (810461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.80 % (810461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.80 % (810461)CaDiCaL version: 2.1.3
% 0.14/1.80 % (810461)Termination reason: Instruction limit
% 0.14/1.80 % (810461)Termination phase: Saturation
% 0.14/1.80 % (810461)Time elapsed: 0.215 s
% 0.14/1.80 % (810461)Peak memory usage: 95 MB
% 0.14/1.80 % (810461)Instructions burned: 326 (million)
% 0.14/1.80 % (810460)------------------------------
% 0.14/1.80 % (810460)------------------------------
% 0.14/1.80 % (810462)Refutation found. Thanks to Tanya!
% 0.14/1.80 % SZS status Theorem for theBenchmark
% 0.14/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.80 % (810462)------------------------------
% 0.14/1.80 % (810462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.80 % (810462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.80 % (810462)CaDiCaL version: 2.1.3
% 0.14/1.80 % (810462)Termination reason: Refutation
% 0.14/1.80 % (810462)Time elapsed: 0.053 s
% 0.14/1.80 % (810462)Peak memory usage: 92 MB
% 0.14/1.80 % (810462)Instructions burned: 88 (million)
% 0.14/1.80 % (810462)------------------------------
% 0.14/1.80 % (810462)------------------------------
% 0.14/1.80 % (810440)Success in time 0.744 s
% 0.14/1.80 % Vampire exiting
%------------------------------------------------------------------------------