%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO637+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:54:55 AM UTC 2026
% Result : Theorem 16.64s 2.95s
% Output : Refutation 16.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 147 ( 52 ~; 50 |; 32 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 269 ( 255 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) )
=> cyclic(X0,X3,X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109101) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) )
=> cyclic(X0,X3,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cyclic(sK20,sK23,sK26,sK25)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK22,sK21)
& coll(sK25,sK23,sK24)
& coll(sK25,sK20,sK21)
& perp(sK22,sK23,sK22,sK26)
& perp(sK20,sK23,sK20,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f384,plain,
perp(sK20,sK23,sK20,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK22,sK23,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ cyclic(sK20,sK23,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f414,plain,
perp(sK22,sK23,sK26,sK22),
inference(resolution,[],[f277,f385]) ).
fof(f417,plain,
perp(sK20,sK26,sK20,sK23),
inference(resolution,[],[f278,f384]) ).
fof(f461,plain,
perp(sK26,sK22,sK22,sK23),
inference(resolution,[],[f414,f278]) ).
fof(f535,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK23)
| para(X0,X1,sK20,sK26) ),
inference(resolution,[],[f279,f384]) ).
fof(f536,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK22,sK26) ),
inference(resolution,[],[f279,f385]) ).
fof(f605,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f1166,plain,
para(sK20,sK26,sK20,sK26),
inference(resolution,[],[f535,f417]) ).
fof(f1174,plain,
para(sK26,sK22,sK22,sK26),
inference(resolution,[],[f536,f461]) ).
fof(f1446,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f605,f309]) ).
fof(f1626,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f618,f313]) ).
fof(f1627,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f618,f312]) ).
fof(f1637,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1626,f1627]) ).
fof(f2169,plain,
para(sK26,sK22,sK26,sK22),
inference(resolution,[],[f1174,f274]) ).
fof(f9344,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1446,f2169]) ).
fof(f9756,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1637,f9344]) ).
fof(f9759,plain,
! [X0] : cyclic(sK26,sK26,sK20,X0),
inference(resolution,[],[f1637,f1166]) ).
fof(f11466,plain,
! [X0,X1] :
( ~ cyclic(sK26,sK26,sK20,X0)
| cyclic(sK26,sK20,X0,X1) ),
inference(resolution,[],[f9759,f287]) ).
fof(f11488,plain,
! [X0,X1] : cyclic(sK26,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f11466,f9756]) ).
fof(f11945,plain,
! [X2,X0,X1] :
( ~ cyclic(sK26,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f11488,f287]) ).
fof(f11967,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f11945,f11488]) ).
fof(f13042,plain,
$false,
inference(resolution,[],[f11967,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO637+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:44:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.70/1.78 % (3240598)Will run a generic schedule for satisfiability detection.
% 7.70/1.78 % (3240605)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1390788992:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.70/1.78 % (3240604)% WARNING: option uhcvi not known.
% 7.70/1.78 % (3240603)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=123856584_2999 on theBenchmark for (2999ds/0Mi)
% 7.70/1.78 % (3240604)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=486887697:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.70/1.78 % (3240608)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3058657685:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.70/1.78 % (3240606)dis+10_1_sil=32000:sp=arity:random_seed=1303242918:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.70/1.78 % (3240607)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3090631466:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.70/1.78 % (3240609)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3332129129:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.70/1.78 % TRYING [1]
% 7.70/1.78 % TRYING [2]
% 7.70/1.78 % TRYING [3]
% 7.70/1.78 % (3240606)Instruction limit reached!
% 7.70/1.78 % (3240606)------------------------------
% 7.70/1.78 % (3240606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.70/1.78 % (3240606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.78 % (3240606)CaDiCaL version: 2.1.3
% 7.70/1.78 % (3240606)Termination reason: Instruction limit
% 7.70/1.78 % (3240606)Termination phase: Saturation
% 7.70/1.78 % (3240606)Time elapsed: 0.067 s
% 7.70/1.78 % (3240606)Peak memory usage: 12 MB
% 7.70/1.78 % (3240606)Instructions burned: 103 (million)
% 7.70/1.78 % (3240607)Instruction limit reached!
% 7.70/1.78 % (3240607)------------------------------
% 7.70/1.78 % (3240607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.70/1.78 % (3240607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.78 % (3240607)CaDiCaL version: 2.1.3
% 7.70/1.78 % (3240607)Termination reason: Instruction limit
% 7.70/1.78 % (3240607)Termination phase: Saturation
% 7.70/1.78 % (3240607)Time elapsed: 0.074 s
% 7.70/1.78 % (3240607)Peak memory usage: 13 MB
% 7.70/1.78 % (3240607)Instructions burned: 123 (million)
% 7.70/1.78 % (3240608)Instruction limit reached!
% 7.70/1.78 % (3240608)------------------------------
% 7.70/1.78 % (3240608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.70/1.78 % (3240608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.78 % (3240608)CaDiCaL version: 2.1.3
% 7.70/1.78 % (3240608)Termination reason: Instruction limit
% 7.70/1.78 % (3240608)Termination phase: Saturation
% 7.70/1.78 % (3240608)Time elapsed: 0.082 s
% 7.70/1.78 % (3240608)Peak memory usage: 14 MB
% 7.70/1.78 % (3240608)Instructions burned: 131 (million)
% 7.70/1.78 % (3240617)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2401325808:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.70/1.78 % TRYING [1]
% 7.70/1.78 % TRYING [2]
% 7.70/1.78 % (3240619)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4106033107:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.70/1.78 % (3240618)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4292510699:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.70/1.78 % (3240609)Instruction limit reached!
% 7.70/1.78 % (3240609)------------------------------
% 7.70/1.78 % (3240609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.70/1.78 % (3240609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.78 % (3240609)CaDiCaL version: 2.1.3
% 7.70/1.78 % (3240609)Termination reason: Instruction limit
% 7.70/1.78 % (3240609)Termination phase: Saturation
% 7.70/1.78 % (3240609)Time elapsed: 0.112 s
% 7.70/1.78 % (3240609)Peak memory usage: 13 MB
% 7.70/1.78 % (3240609)Instructions burned: 159 (million)
% 7.70/1.78 % (3240623)ott-21_1_sil=16000:fs=off:random_seed=1133165445:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.70/1.78 % TRYING [3]
% 7.70/1.78 % (3240618)Instruction limit reached!
% 7.70/1.78 % (3240618)------------------------------
% 7.70/1.78 % (3240618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.70/1.78 % (3240618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240618)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240618)Termination reason: Instruction limit
% 16.64/2.95 % (3240618)Termination phase: Saturation
% 16.64/2.95 % (3240618)Time elapsed: 0.084 s
% 16.64/2.95 % (3240618)Peak memory usage: 15 MB
% 16.64/2.95 % (3240618)Instructions burned: 131 (million)
% 16.64/2.95 % (3240625)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3492825128:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.64/2.95 % (3240623)Instruction limit reached!
% 16.64/2.95 % (3240623)------------------------------
% 16.64/2.95 % (3240623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240623)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240623)Termination reason: Instruction limit
% 16.64/2.95 % (3240623)Termination phase: Saturation
% 16.64/2.95 % (3240623)Time elapsed: 0.093 s
% 16.64/2.95 % (3240623)Peak memory usage: 13 MB
% 16.64/2.95 % (3240623)Instructions burned: 181 (million)
% 16.64/2.95 % (3240627)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2796709925:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.64/2.95 % TRYING [1]
% 16.64/2.95 % TRYING [2]
% 16.64/2.95 % TRYING [3]
% 16.64/2.95 % (3240617)Instruction limit reached!
% 16.64/2.95 % (3240617)------------------------------
% 16.64/2.95 % (3240617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240617)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240617)Termination reason: Instruction limit
% 16.64/2.95 % (3240617)Termination phase: Finite model building constraint generation
% 16.64/2.95 % (3240617)Time elapsed: 0.249 s
% 16.64/2.95 % (3240617)Peak memory usage: 24 MB
% 16.64/2.95 % (3240617)Instructions burned: 717 (million)
% 16.64/2.95 % (3240629)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2489869369:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 16.64/2.95 % (3240619)Instruction limit reached!
% 16.64/2.95 % (3240619)------------------------------
% 16.64/2.95 % (3240619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240619)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240619)Termination reason: Instruction limit
% 16.64/2.95 % (3240619)Termination phase: Saturation
% 16.64/2.95 % (3240619)Time elapsed: 0.397 s
% 16.64/2.95 % (3240619)Peak memory usage: 18 MB
% 16.64/2.95 % (3240619)Instructions burned: 685 (million)
% 16.64/2.95 % (3240625)Instruction limit reached!
% 16.64/2.95 % (3240625)------------------------------
% 16.64/2.95 % (3240625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240625)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240625)Termination reason: Instruction limit
% 16.64/2.95 % (3240625)Termination phase: Saturation
% 16.64/2.95 % (3240625)Time elapsed: 0.311 s
% 16.64/2.95 % (3240625)Peak memory usage: 15 MB
% 16.64/2.95 % (3240625)Instructions burned: 477 (million)
% 16.64/2.95 % (3240631)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4043250097:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 16.64/2.95 % (3240631)Cannot represent all propositional literals internally
% 16.64/2.95 % (3240631)Refutation not found, incomplete strategy
% 16.64/2.95 % (3240631)------------------------------
% 16.64/2.95 % (3240631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240631)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240631)Termination reason: Refutation not found, incomplete strategy
% 16.64/2.95 % (3240631)Time elapsed: 0.006 s
% 16.64/2.95 % (3240631)Peak memory usage: 10 MB
% 16.64/2.95 % (3240631)Instructions burned: 12 (million)
% 16.64/2.95 % (3240631)------------------------------
% 16.64/2.95 % (3240631)------------------------------
% 16.64/2.95 % (3240632)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1609188046:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 16.64/2.95 % (3240627)Instruction limit reached!
% 16.64/2.95 % (3240627)------------------------------
% 16.64/2.95 % (3240627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240627)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240627)Termination reason: Instruction limit
% 16.64/2.95 % (3240627)Termination phase: Finite model building constraint generation
% 16.64/2.95 % (3240627)Time elapsed: 0.301 s
% 16.64/2.95 % (3240627)Peak memory usage: 50 MB
% 16.64/2.95 % (3240627)Instructions burned: 865 (million)
% 16.64/2.95 % (3240634)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2875448602:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.64/2.95 % (3240637)fmb+10_1_sil=64000:random_seed=3603657598:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 16.64/2.95 % TRYING [1]
% 16.64/2.95 % TRYING [2]
% 16.64/2.95 % TRYING [3]
% 16.64/2.95 % (3240632)Instruction limit reached!
% 16.64/2.95 % (3240632)------------------------------
% 16.64/2.95 % (3240632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240632)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240632)Termination reason: Instruction limit
% 16.64/2.95 % (3240632)Termination phase: Saturation
% 16.64/2.95 % (3240632)Time elapsed: 0.407 s
% 16.64/2.95 % (3240632)Peak memory usage: 21 MB
% 16.64/2.95 % (3240632)Instructions burned: 692 (million)
% 16.64/2.95 % (3240639)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3153340770:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.64/2.95 % (3240639)Cannot represent all propositional literals internally
% 16.64/2.95 % (3240639)Refutation not found, incomplete strategy
% 16.64/2.95 % (3240639)------------------------------
% 16.64/2.95 % (3240639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240639)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240639)Termination reason: Refutation not found, incomplete strategy
% 16.64/2.95 % (3240639)Time elapsed: 0.006 s
% 16.64/2.95 % (3240639)Peak memory usage: 10 MB
% 16.64/2.95 % (3240639)Instructions burned: 12 (million)
% 16.64/2.95 % (3240639)------------------------------
% 16.64/2.95 % (3240639)------------------------------
% 16.64/2.95 % (3240641)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=234915334:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 16.64/2.95 % TRYING [8]
% 16.64/2.95 % (3240634)Instruction limit reached!
% 16.64/2.95 % (3240634)------------------------------
% 16.64/2.95 % (3240634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240634)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240634)Termination reason: Instruction limit
% 16.64/2.95 % (3240634)Termination phase: Saturation
% 16.64/2.95 % (3240634)Time elapsed: 0.494 s
% 16.64/2.95 % (3240634)Peak memory usage: 18 MB
% 16.64/2.95 % (3240634)Instructions burned: 879 (million)
% 16.64/2.95 % (3240643)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2147368906:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 16.64/2.95 % (3240629)Instruction limit reached!
% 16.64/2.95 % (3240629)------------------------------
% 16.64/2.95 % (3240629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240629)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240629)Termination reason: Instruction limit
% 16.64/2.95 % (3240629)Termination phase: Saturation
% 16.64/2.95 % (3240629)Time elapsed: 0.725 s
% 16.64/2.95 % (3240629)Peak memory usage: 24 MB
% 16.64/2.95 % (3240629)Instructions burned: 1179 (million)
% 16.64/2.95 % (3240645)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3626754181:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 16.64/2.95 % (3240641)Instruction limit reached!
% 16.64/2.95 % (3240641)------------------------------
% 16.64/2.95 % (3240641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240641)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240641)Termination reason: Instruction limit
% 16.64/2.95 % (3240641)Termination phase: Finite model building constraint generation
% 16.64/2.95 % (3240641)Time elapsed: 0.285 s
% 16.64/2.95 % (3240641)Peak memory usage: 45 MB
% 16.64/2.95 % (3240641)Instructions burned: 923 (million)
% 16.64/2.95 % (3240647)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3339375275:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 16.64/2.95 % (3240647)Cannot represent all propositional literals internally
% 16.64/2.95 % (3240647)Refutation not found, incomplete strategy
% 16.64/2.95 % (3240647)------------------------------
% 16.64/2.95 % (3240647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240647)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240647)Termination reason: Refutation not found, incomplete strategy
% 16.64/2.95 % (3240647)Time elapsed: 0.008 s
% 16.64/2.95 % (3240647)Peak memory usage: 11 MB
% 16.64/2.95 % (3240647)Instructions burned: 15 (million)
% 16.64/2.95 % (3240647)------------------------------
% 16.64/2.95 % (3240647)------------------------------
% 16.64/2.95 % (3240649)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3638343048:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 16.64/2.95 % (3240649)Cannot represent all propositional literals internally
% 16.64/2.95 % (3240649)Refutation not found, incomplete strategy
% 16.64/2.95 % (3240649)------------------------------
% 16.64/2.95 % (3240649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240649)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240649)Termination reason: Refutation not found, incomplete strategy
% 16.64/2.95 % (3240649)Time elapsed: 0.082 s
% 16.64/2.95 % (3240649)Peak memory usage: 12 MB
% 16.64/2.95 % (3240649)Instructions burned: 166 (million)
% 16.64/2.95 % (3240649)------------------------------
% 16.64/2.95 % (3240649)------------------------------
% 16.64/2.95 % (3240651)ott-2_1_sil=16000:newcnf=on:random_seed=1802326820:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 16.64/2.95 % (3240651)Instruction limit reached!
% 16.64/2.95 % (3240651)------------------------------
% 16.64/2.95 % (3240651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240651)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240651)Termination reason: Instruction limit
% 16.64/2.95 % (3240651)Termination phase: Saturation
% 16.64/2.95 % (3240651)Time elapsed: 0.532 s
% 16.64/2.95 % (3240651)Peak memory usage: 16 MB
% 16.64/2.95 % (3240651)Instructions burned: 869 (million)
% 16.64/2.95 % (3240653)ott+10_1_sil=32000:tgt=ground:random_seed=3367169021:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 16.64/2.95 % (3240645)Instruction limit reached!
% 16.64/2.95 % (3240645)------------------------------
% 16.64/2.95 % (3240645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240645)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240645)Termination reason: Instruction limit
% 16.64/2.95 % (3240645)Termination phase: Saturation
% 16.64/2.95 % (3240645)Time elapsed: 0.970 s
% 16.64/2.95 % (3240645)Peak memory usage: 35 MB
% 16.64/2.95 % (3240645)Instructions burned: 1473 (million)
% 16.64/2.95 % (3240655)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=807619571:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 16.64/2.95 % TRYING [1]
% 16.64/2.95 % TRYING [2]
% 16.64/2.95 % TRYING [4]
% 16.64/2.95 % TRYING [3]
% 16.64/2.95 % (3240653) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3240598-3240653"...
% 16.64/2.95 % (3240653)...printing done.
% 16.64/2.95 % (3240653)Refutation found. Thanks to Tanya!
% 16.64/2.95 % SZS status Theorem for theBenchmark
% 16.64/2.95 % SZS output start Proof for theBenchmark
% See solution above
% 16.64/2.95 % (3240653)------------------------------
% 16.64/2.95 % (3240653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.64/2.95 % (3240653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.64/2.95 % (3240653)CaDiCaL version: 2.1.3
% 16.64/2.95 % (3240653)Termination reason: Refutation
% 16.64/2.95 % (3240653)Time elapsed: 0.445 s
% 16.64/2.95 % (3240653)Peak memory usage: 20 MB
% 16.64/2.95 % (3240653)Instructions burned: 697 (million)
% 16.64/2.95 % (3240598)Success in time 2.515 s
% 16.64/2.95 % Vampire exiting
%------------------------------------------------------------------------------