%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO578+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 : n007.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 09:54:46 AM UTC 2026
% Result : Theorem 6.24s 2.91s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 140 ( 21 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 345 ( 142 ~; 140 |; 35 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 588 ( 578 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) )
=> cong(X4,X3,X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214040) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) )
=> cong(X4,X3,X4,X0) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
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(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4] :
( ~ cong(X4,X3,X4,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4] :
( ~ cong(X4,X3,X4,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK24,sK23,sK24,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& para(sK20,sK21,sK24,sK23)
& coll(sK24,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
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(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
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(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
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(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
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(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f385,plain,
para(sK20,sK21,sK24,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ cong(sK24,sK23,sK24,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f404,plain,
para(sK24,sK23,sK20,sK21),
inference(resolution,[],[f275,f385]) ).
fof(f420,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f494,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK21)
| para(X0,X1,sK24,sK23) ),
inference(resolution,[],[f276,f385]) ).
fof(f521,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[],[f295,f339]) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ cyclic(X0,X2,X1,X3) ),
inference(resolution,[],[f288,f311]) ).
fof(f584,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(f605,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(f1122,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X3,X1)
| ~ para(X2,X0,X2,X3) ),
inference(resolution,[],[f314,f310]) ).
fof(f1287,plain,
para(sK24,sK23,sK24,sK23),
inference(resolution,[],[f494,f404]) ).
fof(f1448,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f521,f420]) ).
fof(f1493,plain,
! [X2,X3,X0,X1] :
( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f574,f290]) ).
fof(f1546,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f584,f309]) ).
fof(f1741,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f605,f313]) ).
fof(f1742,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f605,f312]) ).
fof(f1752,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1741,f1742]) ).
fof(f9231,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1546,f1287]) ).
fof(f9233,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f9231,f337]) ).
fof(f9271,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f9233,f272]) ).
fof(f9417,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f9271,f271]) ).
fof(f9552,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1752,f9231]) ).
fof(f9567,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f9417,f273]) ).
fof(f9595,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f9567,f9417]) ).
fof(f11096,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f9552,f285]) ).
fof(f11098,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f9552,f287]) ).
fof(f11131,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f11098,f9552]) ).
fof(f11743,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f1493,f314]) ).
fof(f11754,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f11743]) ).
fof(f11755,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f11754,f11131]) ).
fof(f11768,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f11755,f11131]) ).
fof(f11770,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f11768,f11131]) ).
fof(f11968,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f11770,f327]) ).
fof(f12008,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f11968,f11770]) ).
fof(f13457,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f12008,f279]) ).
fof(f13459,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f12008,f278]) ).
fof(f13464,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f13457,f13459]) ).
fof(f13557,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X2,X1)
| ~ para(X0,X0,X0,X2) ),
inference(resolution,[],[f11096,f1122]) ).
fof(f13574,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X2,X1)
| ~ para(X0,X0,X0,X2) ),
inference(forward_subsumption_resolution,[],[f13557,f11131]) ).
fof(f13576,plain,
! [X2,X0,X1] :
( cong(X0,X1,X2,X1)
| ~ para(X0,X0,X0,X2) ),
inference(forward_subsumption_resolution,[],[f13574,f11131]) ).
fof(f13577,plain,
! [X2,X0,X1] : cong(X0,X1,X2,X1),
inference(forward_subsumption_resolution,[],[f13576,f13464]) ).
fof(f14525,plain,
! [X2,X0,X1] : cong(X0,X1,X1,X2),
inference(resolution,[],[f13577,f293]) ).
fof(f14817,plain,
! [X0,X1] :
( midp(X0,X0,X1)
| ~ coll(X0,X0,X1) ),
inference(resolution,[],[f14525,f338]) ).
fof(f14846,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(forward_subsumption_resolution,[],[f14817,f9595]) ).
fof(f14898,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X0,X1) ),
inference(resolution,[],[f14846,f1448]) ).
fof(f14945,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f14898,f14846]) ).
fof(f15998,plain,
$false,
inference(resolution,[],[f14945,f389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO578+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:31:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 7.96/1.71 % (1105394)Will run a generic schedule for satisfiability detection.
% 7.96/1.71 % (1105399)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2882004402_2999 on theBenchmark for (2999ds/0Mi)
% 7.96/1.71 % (1105400)% WARNING: option uhcvi not known.
% 7.96/1.71 % TRYING [1]
% 7.96/1.71 % TRYING [2]
% 7.96/1.71 % (1105402)dis+10_1_sil=32000:sp=arity:random_seed=4113579061:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.96/1.71 % (1105400)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2053739893:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.96/1.71 % (1105401)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=957235718:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.96/1.71 % (1105403)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2730947044:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.96/1.71 % (1105405)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=434853455:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.96/1.71 % (1105404)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=629847358:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.96/1.71 % TRYING [3]
% 7.96/1.71 % (1105402)Instruction limit reached!
% 7.96/1.71 % (1105402)------------------------------
% 7.96/1.71 % (1105402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.71 % (1105402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.71 % (1105402)CaDiCaL version: 2.1.3
% 7.96/1.71 % (1105402)Termination reason: Instruction limit
% 7.96/1.71 % (1105402)Termination phase: Saturation
% 7.96/1.71 % (1105402)Time elapsed: 0.066 s
% 7.96/1.71 % (1105402)Peak memory usage: 12 MB
% 7.96/1.71 % (1105402)Instructions burned: 104 (million)
% 7.96/1.71 % (1105403)Instruction limit reached!
% 7.96/1.71 % (1105403)------------------------------
% 7.96/1.71 % (1105403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.71 % (1105403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.71 % (1105403)CaDiCaL version: 2.1.3
% 7.96/1.71 % (1105403)Termination reason: Instruction limit
% 7.96/1.71 % (1105403)Termination phase: Saturation
% 7.96/1.71 % (1105403)Time elapsed: 0.067 s
% 7.96/1.71 % (1105403)Peak memory usage: 12 MB
% 7.96/1.71 % (1105403)Instructions burned: 116 (million)
% 7.96/1.71 % (1105404)Instruction limit reached!
% 7.96/1.71 % (1105404)------------------------------
% 7.96/1.71 % (1105404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.71 % (1105404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.71 % (1105404)CaDiCaL version: 2.1.3
% 7.96/1.71 % (1105404)Termination reason: Instruction limit
% 7.96/1.71 % (1105404)Termination phase: Saturation
% 7.96/1.71 % (1105404)Time elapsed: 0.085 s
% 7.96/1.71 % (1105404)Peak memory usage: 14 MB
% 7.96/1.71 % (1105404)Instructions burned: 131 (million)
% 7.96/1.71 % (1105413)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1360781500:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.96/1.71 % (1105414)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3374116064:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.96/1.71 % TRYING [1]
% 7.96/1.71 % TRYING [2]
% 7.96/1.71 % (1105405)Instruction limit reached!
% 7.96/1.71 % (1105405)------------------------------
% 7.96/1.71 % (1105405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.71 % (1105405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.71 % (1105405)CaDiCaL version: 2.1.3
% 7.96/1.71 % (1105405)Termination reason: Instruction limit
% 7.96/1.71 % (1105405)Termination phase: Saturation
% 7.96/1.71 % (1105405)Time elapsed: 0.101 s
% 7.96/1.71 % (1105405)Peak memory usage: 14 MB
% 7.96/1.71 % (1105405)Instructions burned: 160 (million)
% 7.96/1.71 % (1105417)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=2902606491:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.96/1.71 % (1105418)ott-21_1_sil=16000:fs=off:random_seed=327561501:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.96/1.71 % TRYING [3]
% 7.96/1.71 % (1105414)Instruction limit reached!
% 7.96/1.71 % (1105414)------------------------------
% 7.96/1.71 % (1105414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.71 % (1105414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105414)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105414)Termination reason: Instruction limit
% 6.24/2.91 % (1105414)Termination phase: Saturation
% 6.24/2.91 % (1105414)Time elapsed: 0.086 s
% 6.24/2.91 % (1105414)Peak memory usage: 14 MB
% 6.24/2.91 % (1105414)Instructions burned: 131 (million)
% 6.24/2.91 % (1105421)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2407799480:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.24/2.91 % (1105418)Instruction limit reached!
% 6.24/2.91 % (1105418)------------------------------
% 6.24/2.91 % (1105418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105418)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105418)Termination reason: Instruction limit
% 6.24/2.91 % (1105418)Termination phase: Saturation
% 6.24/2.91 % (1105418)Time elapsed: 0.096 s
% 6.24/2.91 % (1105418)Peak memory usage: 13 MB
% 6.24/2.91 % (1105418)Instructions burned: 180 (million)
% 6.24/2.91 % (1105423)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3136801159:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.24/2.91 % TRYING [1]
% 6.24/2.91 % TRYING [2]
% 6.24/2.91 % TRYING [3]
% 6.24/2.91 % (1105413)Instruction limit reached!
% 6.24/2.91 % (1105413)------------------------------
% 6.24/2.91 % (1105413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105413)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105413)Termination reason: Instruction limit
% 6.24/2.91 % (1105413)Termination phase: Finite model building constraint generation
% 6.24/2.91 % (1105413)Time elapsed: 0.249 s
% 6.24/2.91 % (1105413)Peak memory usage: 24 MB
% 6.24/2.91 % (1105413)Instructions burned: 716 (million)
% 6.24/2.91 % (1105425)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3300769112:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.24/2.91 % (1105421)Instruction limit reached!
% 6.24/2.91 % (1105421)------------------------------
% 6.24/2.91 % (1105421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105421)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105421)Termination reason: Instruction limit
% 6.24/2.91 % (1105421)Termination phase: Saturation
% 6.24/2.91 % (1105421)Time elapsed: 0.270 s
% 6.24/2.91 % (1105421)Peak memory usage: 14 MB
% 6.24/2.91 % (1105421)Instructions burned: 477 (million)
% 6.24/2.91 % (1105427)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3064876066:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.24/2.91 % (1105427)Cannot represent all propositional literals internally
% 6.24/2.91 % (1105427)Refutation not found, incomplete strategy
% 6.24/2.91 % (1105427)------------------------------
% 6.24/2.91 % (1105427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105427)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105427)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.91 % (1105427)Time elapsed: 0.006 s
% 6.24/2.91 % (1105427)Peak memory usage: 10 MB
% 6.24/2.91 % (1105427)Instructions burned: 13 (million)
% 6.24/2.91 % (1105427)------------------------------
% 6.24/2.91 % (1105427)------------------------------
% 6.24/2.91 % (1105417)Instruction limit reached!
% 6.24/2.91 % (1105417)------------------------------
% 6.24/2.91 % (1105417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105417)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105417)Termination reason: Instruction limit
% 6.24/2.91 % (1105417)Termination phase: Saturation
% 6.24/2.91 % (1105417)Time elapsed: 0.400 s
% 6.24/2.91 % (1105417)Peak memory usage: 20 MB
% 6.24/2.91 % (1105417)Instructions burned: 686 (million)
% 6.24/2.91 % (1105429)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=73835511: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)
% 6.24/2.91 % (1105430)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1617609927:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.24/2.91 % (1105423)Instruction limit reached!
% 6.24/2.91 % (1105423)------------------------------
% 6.24/2.91 % (1105423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105423)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105423)Termination reason: Instruction limit
% 6.24/2.91 % (1105423)Termination phase: Finite model building constraint generation
% 6.24/2.91 % (1105423)Time elapsed: 0.304 s
% 6.24/2.91 % (1105423)Peak memory usage: 50 MB
% 6.24/2.91 % (1105423)Instructions burned: 869 (million)
% 6.24/2.91 % (1105433)fmb+10_1_sil=64000:random_seed=3448502480:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.24/2.91 % TRYING [1]
% 6.24/2.91 % TRYING [2]
% 6.24/2.91 % TRYING [3]
% 6.24/2.91 % (1105429)Instruction limit reached!
% 6.24/2.91 % (1105429)------------------------------
% 6.24/2.91 % (1105429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105429)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105429)Termination reason: Instruction limit
% 6.24/2.91 % (1105429)Termination phase: Saturation
% 6.24/2.91 % (1105429)Time elapsed: 0.367 s
% 6.24/2.91 % (1105429)Peak memory usage: 17 MB
% 6.24/2.91 % (1105429)Instructions burned: 692 (million)
% 6.24/2.91 % (1105435)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=650533599:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.24/2.91 % (1105435)Cannot represent all propositional literals internally
% 6.24/2.91 % (1105435)Refutation not found, incomplete strategy
% 6.24/2.91 % (1105435)------------------------------
% 6.24/2.91 % (1105435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105435)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105435)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.91 % (1105435)Time elapsed: 0.006 s
% 6.24/2.91 % (1105435)Peak memory usage: 10 MB
% 6.24/2.91 % (1105435)Instructions burned: 13 (million)
% 6.24/2.91 % (1105435)------------------------------
% 6.24/2.91 % (1105435)------------------------------
% 6.24/2.91 % (1105437)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1468820354:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.24/2.91 % TRYING [8]
% 6.24/2.91 % (1105430)Instruction limit reached!
% 6.24/2.91 % (1105430)------------------------------
% 6.24/2.91 % (1105430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105430)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105430)Termination reason: Instruction limit
% 6.24/2.91 % (1105430)Termination phase: Saturation
% 6.24/2.91 % (1105430)Time elapsed: 0.465 s
% 6.24/2.91 % (1105430)Peak memory usage: 18 MB
% 6.24/2.91 % (1105430)Instructions burned: 880 (million)
% 6.24/2.91 % (1105439)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3553069628:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.24/2.91 % (1105425)Instruction limit reached!
% 6.24/2.91 % (1105425)------------------------------
% 6.24/2.91 % (1105425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105425)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105425)Termination reason: Instruction limit
% 6.24/2.91 % (1105425)Termination phase: Saturation
% 6.24/2.91 % (1105425)Time elapsed: 0.720 s
% 6.24/2.91 % (1105425)Peak memory usage: 22 MB
% 6.24/2.91 % (1105425)Instructions burned: 1179 (million)
% 6.24/2.91 % (1105441)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=246295165:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 6.24/2.91 % TRYING [4]
% 6.24/2.91 % (1105437)Instruction limit reached!
% 6.24/2.91 % (1105437)------------------------------
% 6.24/2.91 % (1105437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105437)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105437)Termination reason: Instruction limit
% 6.24/2.91 % (1105437)Termination phase: Finite model building constraint generation
% 6.24/2.91 % (1105437)Time elapsed: 0.297 s
% 6.24/2.91 % (1105437)Peak memory usage: 46 MB
% 6.24/2.91 % (1105437)Instructions burned: 922 (million)
% 6.24/2.91 % (1105443)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=847970700:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 6.24/2.91 % (1105443)Cannot represent all propositional literals internally
% 6.24/2.91 % (1105443)Refutation not found, incomplete strategy
% 6.24/2.91 % (1105443)------------------------------
% 6.24/2.91 % (1105443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105443)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105443)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.91 % (1105443)Time elapsed: 0.008 s
% 6.24/2.91 % (1105443)Peak memory usage: 11 MB
% 6.24/2.91 % (1105443)Instructions burned: 15 (million)
% 6.24/2.91 % (1105443)------------------------------
% 6.24/2.91 % (1105443)------------------------------
% 6.24/2.91 % (1105445)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3296445358:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 6.24/2.91 % (1105445)Cannot represent all propositional literals internally
% 6.24/2.91 % (1105445)Refutation not found, incomplete strategy
% 6.24/2.91 % (1105445)------------------------------
% 6.24/2.91 % (1105445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105445)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105445)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.91 % (1105445)Time elapsed: 0.084 s
% 6.24/2.91 % (1105445)Peak memory usage: 12 MB
% 6.24/2.91 % (1105445)Instructions burned: 166 (million)
% 6.24/2.91 % (1105445)------------------------------
% 6.24/2.91 % (1105445)------------------------------
% 6.24/2.91 % (1105447)ott-2_1_sil=16000:newcnf=on:random_seed=3002728483:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 6.24/2.91 % (1105447)Instruction limit reached!
% 6.24/2.91 % (1105447)------------------------------
% 6.24/2.91 % (1105447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105447)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105447)Termination reason: Instruction limit
% 6.24/2.91 % (1105447)Termination phase: Saturation
% 6.24/2.91 % (1105447)Time elapsed: 0.534 s
% 6.24/2.91 % (1105447)Peak memory usage: 17 MB
% 6.24/2.91 % (1105447)Instructions burned: 870 (million)
% 6.24/2.91 % (1105441)Instruction limit reached!
% 6.24/2.91 % (1105441)------------------------------
% 6.24/2.91 % (1105441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.91 % (1105441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.91 % (1105441)CaDiCaL version: 2.1.3
% 6.24/2.91 % (1105441)Termination reason: Instruction limit
% 6.24/2.91 % (1105441)Termination phase: Saturation
% 6.24/2.91 % (1105441)Time elapsed: 0.842 s
% 6.24/2.91 % (1105441)Peak memory usage: 33 MB
% 6.24/2.91 % (1105441)Instructions burned: 1474 (million)
% 6.24/2.91 % (1105449)ott+10_1_sil=32000:tgt=ground:random_seed=163341503:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 6.24/2.91 % (1105451)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3404652577:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 6.24/2.91 % TRYING [1]
% 6.24/2.91 % TRYING [2]
% 6.24/2.91 % TRYING [3]
% 6.24/2.91 % (1105449) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1105394-1105449"...
% 6.24/2.91 % (1105449)...printing done.
% 6.24/2.91 % (1105449)Refutation found. Thanks to Tanya!
% 6.24/2.91 % SZS status Theorem for theBenchmark
% 6.24/2.91 % SZS output start Proof for theBenchmark
% See solution above
% 6.24/2.92 % (1105449)------------------------------
% 6.24/2.92 % (1105449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/2.92 % (1105449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.92 % (1105449)CaDiCaL version: 2.1.3
% 6.24/2.92 % (1105449)Termination reason: Refutation
% 6.24/2.92 % (1105449)Time elapsed: 0.471 s
% 6.24/2.92 % (1105449)Peak memory usage: 20 MB
% 6.24/2.92 % (1105449)Instructions burned: 741 (million)
% 6.24/2.92 % (1105394)Success in time 2.493 s
% 6.24/2.92 % Vampire exiting
%------------------------------------------------------------------------------