%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:52:16 AM UTC 2026
% Result : Theorem 6.39s 1.67s
% Output : Refutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 13 unt; 2 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 165 ( 62 ~; 69 |; 26 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 89 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f13,axiom,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag8) ).
fof(f14,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f20,axiom,
! [X0] :
( line(X0)
=> line(reverse_line(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco4) ).
fof(f25,axiom,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco9) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( ( line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) )
=> ~ ( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X1,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) )
=> ~ ( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X1,X3,X2) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f46,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f47,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f51,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f53,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f52]) ).
fof(f55,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X1,X3,X2)
& line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X1,X3,X2)
& line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( between_on_line(sK0,sK1,sK2,sK3)
& between_on_line(sK0,sK1,sK3,sK2)
& line(sK0)
& distinct_points(sK1,sK3)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f77]) ).
fof(f95,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f101,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f102,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f105,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f55]) ).
fof(f106,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f55]) ).
fof(f110,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f117,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f127,plain,
line(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f131,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f102,f106]) ).
fof(f132,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f131,f105]) ).
fof(f135,plain,
! [X0] :
( unequally_directed_lines(reverse_line(X0),X0)
| ~ line(reverse_line(X0))
| ~ line(X0) ),
inference(resolution,[],[f95,f101]) ).
fof(f136,plain,
! [X0] :
( unequally_directed_lines(reverse_line(X0),X0)
| ~ line(X0) ),
inference(forward_subsumption_resolution,[],[f135,f110]) ).
fof(f138,plain,
! [X0,X1] :
( unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(X0,X1)
| ~ line(X0) ),
inference(resolution,[],[f136,f96]) ).
fof(f139,plain,
! [X0,X1] :
( ~ unequally_directed_lines(reverse_line(X0),X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[],[f138,f132]) ).
fof(f147,plain,
! [X0,X1] :
( ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X0) ),
inference(resolution,[],[f139,f138]) ).
fof(f150,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| unequally_directed_lines(X0,X1) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f171,plain,
! [X2,X0,X1] :
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X0,X1)
| ~ line(X0) ),
inference(resolution,[],[f150,f96]) ).
fof(f210,plain,
! [X0,X1] :
( unequally_directed_lines(reverse_line(X1),X1)
| unequally_directed_lines(X0,X1)
| ~ line(X0) ),
inference(factoring,[],[f171]) ).
fof(f219,plain,
! [X2,X0,X1] :
( unequally_directed_lines(reverse_line(X0),X2)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(X0,X2)
| ~ line(X1) ),
inference(resolution,[],[f210,f96]) ).
fof(f236,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X0))
| unequally_directed_lines(X1,X0)
| ~ line(X1) ),
inference(resolution,[],[f219,f95]) ).
fof(f262,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X1))
| ~ line(reverse_line(X0))
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[],[f236,f139]) ).
fof(f265,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X1))
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0) ),
inference(forward_subsumption_resolution,[],[f262,f110]) ).
fof(f345,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X1))
| ~ line(X0)
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f265,f132]) ).
fof(f367,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X1))
| ~ line(X0) ),
inference(forward_subsumption_resolution,[],[f345,f236]) ).
fof(f371,definition,
( spl4_3
<=> ! [X0] : ~ line(X0) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f372,plain,
( ! [X0] : ~ line(X0)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,definition,
( spl4_4
<=> ! [X1] : unequally_directed_lines(X1,reverse_line(X1)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f375,plain,
( ! [X1] : unequally_directed_lines(X1,reverse_line(X1))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f367,f374,f371]) ).
fof(f383,plain,
( $false
| ~ spl4_4 ),
inference(resolution,[],[f375,f117]) ).
fof(f385,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f388,plain,
( $false
| ~ spl4_3 ),
inference(resolution,[],[f372,f127]) ).
fof(f390,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f388]) ).
cnf(s3,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f376]) ).
cnf(s4,plain,
~ spl4_4,
inference(sat_conversion,[],[f385]) ).
cnf(s5,plain,
~ spl4_3,
inference(sat_conversion,[],[f390]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s3,s4,s5]) ).
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 07:55:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.39/1.66 % (2667000)Detected formulas, will run a generic FOF schedule.
% 6.39/1.66 % (2667007)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=246995058:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.39/1.66 % (2667011)dis-21_1_sil=8000:lcm=predicate:random_seed=3975746685: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)
% 6.39/1.66 % (2667006)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=3264215058:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.39/1.66 % (2667005)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=2713735673:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.39/1.66 % (2667010)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=861078438:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.39/1.66 % (2667008)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3396144520:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.39/1.66 % (2667009)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1797790332:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.39/1.66 % (2667008)Refutation not found, incomplete strategy
% 6.39/1.66 % (2667008)------------------------------
% 6.39/1.66 % (2667008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.66 % (2667008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.66 % (2667008)CaDiCaL version: 2.1.3
% 6.39/1.66 % (2667008)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.66 % (2667008)Time elapsed: 0.001 s
% 6.39/1.66 % (2667008)Peak memory usage: 87 MB
% 6.39/1.66 % (2667010)Instruction limit reached!
% 6.39/1.66 % (2667010)------------------------------
% 6.39/1.66 % (2667010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.66 % (2667010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.66 % (2667010)CaDiCaL version: 2.1.3
% 6.39/1.66 % (2667010)Termination reason: Instruction limit
% 6.39/1.66 % (2667010)Termination phase: Saturation
% 6.39/1.66 % (2667010)Time elapsed: 0.066 s
% 6.39/1.66 % (2667010)Peak memory usage: 89 MB
% 6.39/1.66 % (2667010)Instructions burned: 141 (million)
% 6.39/1.66 % (2667009)Instruction limit reached!
% 6.39/1.66 % (2667009)------------------------------
% 6.39/1.66 % (2667009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.66 % (2667009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.66 % (2667009)CaDiCaL version: 2.1.3
% 6.39/1.66 % (2667009)Termination reason: Instruction limit
% 6.39/1.66 % (2667009)Termination phase: Saturation
% 6.39/1.66 % (2667009)Time elapsed: 0.070 s
% 6.39/1.66 % (2667009)Peak memory usage: 88 MB
% 6.39/1.66 % (2667009)Instructions burned: 119 (million)
% 6.39/1.66 % (2667011)Instruction limit reached!
% 6.39/1.66 % (2667011)------------------------------
% 6.39/1.66 % (2667011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.66 % (2667011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667011)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667011)Termination reason: Instruction limit
% 6.39/1.67 % (2667011)Termination phase: Saturation
% 6.39/1.67 % (2667011)Time elapsed: 0.075 s
% 6.39/1.67 % (2667011)Peak memory usage: 89 MB
% 6.39/1.67 % (2667011)Instructions burned: 129 (million)
% 6.39/1.67 % (2667019)lrs+10_1_sil=8000:sp=occurrence:random_seed=3502453794:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.39/1.67 % (2667020)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2214519753:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.39/1.67 % (2667021)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2337831396:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.39/1.67 % (2667021)Refutation not found, incomplete strategy
% 6.39/1.67 % (2667021)------------------------------
% 6.39/1.67 % (2667021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667021)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667021)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.67 % (2667021)Time elapsed: 0.002 s
% 6.39/1.67 % (2667021)Peak memory usage: 88 MB
% 6.39/1.67 % (2667021)Instructions burned: 2 (million)
% 6.39/1.67 % (2667008)------------------------------
% 6.39/1.67 % (2667008)------------------------------
% 6.39/1.67 % (2667019)Instruction limit reached!
% 6.39/1.67 % (2667019)------------------------------
% 6.39/1.67 % (2667019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667019)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667019)Termination reason: Instruction limit
% 6.39/1.67 % (2667019)Termination phase: Saturation
% 6.39/1.67 % (2667019)Time elapsed: 0.084 s
% 6.39/1.67 % (2667019)Peak memory usage: 89 MB
% 6.39/1.67 % (2667019)Instructions burned: 289 (million)
% 6.39/1.67 % (2667020)Instruction limit reached!
% 6.39/1.67 % (2667020)------------------------------
% 6.39/1.67 % (2667020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667020)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667020)Termination reason: Instruction limit
% 6.39/1.67 % (2667020)Termination phase: Saturation
% 6.39/1.67 % (2667020)Time elapsed: 0.075 s
% 6.39/1.67 % (2667020)Peak memory usage: 88 MB
% 6.39/1.67 % (2667020)Instructions burned: 159 (million)
% 6.39/1.67 % (2667026)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1528822391:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.39/1.67 % (2667026)Refutation not found, incomplete strategy
% 6.39/1.67 % (2667026)------------------------------
% 6.39/1.67 % (2667026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667026)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667026)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.67 % (2667026)Time elapsed: 0.001 s
% 6.39/1.67 % (2667026)Peak memory usage: 88 MB
% 6.39/1.67 % (2667026)Instructions burned: 2 (million)
% 6.39/1.67 % (2667025)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=2775183538:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.39/1.67 % (2667027)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3955139357:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.39/1.67 % (2667021)------------------------------
% 6.39/1.67 % (2667021)------------------------------
% 6.39/1.67 % (2667025)Instruction limit reached!
% 6.39/1.67 % (2667025)------------------------------
% 6.39/1.67 % (2667025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667025)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667025)Termination reason: Instruction limit
% 6.39/1.67 % (2667025)Termination phase: Saturation
% 6.39/1.67 % (2667025)Time elapsed: 0.135 s
% 6.39/1.67 % (2667025)Peak memory usage: 89 MB
% 6.39/1.67 % (2667025)Instructions burned: 248 (million)
% 6.39/1.67 % (2667026)------------------------------
% 6.39/1.67 % (2667026)------------------------------
% 6.39/1.67 % (2667031)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4120493028:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.39/1.67 % (2667005)First to succeed.
% 6.39/1.67 % (2667005)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2667000"
% 6.39/1.67 % (2667006)Also succeeded, but the first one will report.
% 6.39/1.67 % (2667033)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2189434660:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.39/1.67 % (2667032)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=977579350:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.39/1.67 % (2667031)Instruction limit reached!
% 6.39/1.67 % (2667031)------------------------------
% 6.39/1.67 % (2667031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667031)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667031)Termination reason: Instruction limit
% 6.39/1.67 % (2667031)Termination phase: Saturation
% 6.39/1.67 % (2667031)Time elapsed: 0.068 s
% 6.39/1.67 % (2667031)Peak memory usage: 89 MB
% 6.39/1.67 % (2667031)Instructions burned: 113 (million)
% 6.39/1.67 % (2667033)Instruction limit reached!
% 6.39/1.67 % (2667033)------------------------------
% 6.39/1.67 % (2667033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667033)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667033)Termination reason: Instruction limit
% 6.39/1.67 % (2667033)Termination phase: Saturation
% 6.39/1.67 % (2667033)Time elapsed: 0.027 s
% 6.39/1.67 % (2667033)Peak memory usage: 88 MB
% 6.39/1.67 % (2667033)Instructions burned: 116 (million)
% 6.39/1.67 % (2667032)Instruction limit reached!
% 6.39/1.67 % (2667032)------------------------------
% 6.39/1.67 % (2667032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667032)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667032)Termination reason: Instruction limit
% 6.39/1.67 % (2667032)Termination phase: Saturation
% 6.39/1.67 % (2667032)Time elapsed: 0.071 s
% 6.39/1.67 % (2667032)Peak memory usage: 88 MB
% 6.39/1.67 % (2667032)Instructions burned: 128 (million)
% 6.39/1.67 % (2667038)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3367359130:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.39/1.67 % (2667038)Refutation not found, incomplete strategy
% 6.39/1.67 % (2667038)------------------------------
% 6.39/1.67 % (2667038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.67 % (2667038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.67 % (2667038)CaDiCaL version: 2.1.3
% 6.39/1.67 % (2667038)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.67 % (2667038)Time elapsed: 0.001 s
% 6.39/1.67 % (2667038)Peak memory usage: 88 MB
% 6.39/1.67 % (2667037)lrs+10_1_sil=8000:sp=occurrence:random_seed=599986947:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.39/1.67 % (2667005)Refutation found. Thanks to Tanya!
% 6.39/1.67 % SZS status Theorem for theBenchmark
% 6.39/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 7.87/1.85 % (2667005)------------------------------
% 7.87/1.85 % (2667005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/1.85 % (2667005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.85 % (2667005)CaDiCaL version: 2.1.3
% 7.87/1.85 % (2667005)Termination reason: Refutation
% 7.87/1.85 % (2667005)Time elapsed: 0.633 s
% 7.87/1.85 % (2667005)Peak memory usage: 127 MB
% 7.87/1.85 % (2667005)Instructions burned: 941 (million)
% 7.87/1.85 % (2667005)------------------------------
% 7.87/1.85 % (2667005)------------------------------
% 7.87/1.85 % (2667000)Success in time 1.062 s
% 7.87/1.85 % Vampire exiting
%------------------------------------------------------------------------------