%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO542+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:54:41 AM UTC 2026
% Result : Theorem 25.14s 4.11s
% Output : Refutation 25.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 30
% Syntax : Number of formulae : 167 ( 23 unt; 0 def)
% Number of atoms : 422 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 435 ( 180 ~; 181 |; 43 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-6 aty)
% Number of variables : 715 ( 698 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& midp(X4,X2,X3) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f73,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
& ~ perp(X0,X1,X2,X3) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD72) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) )
=> perp(X6,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012002) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) )
=> perp(X6,X3,X4,X5) ),
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(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
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(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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
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(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(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(f191,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
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(f206,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f73]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f206]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( ~ perp(sK26,sK23,sK24,sK25)
& midp(sK23,sK22,sK21)
& midp(sK24,sK22,sK20)
& midp(sK25,sK21,sK20)
& circle(sK26,sK20,sK21,sK22) ),
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(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(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
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(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(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
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(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(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
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(f343,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f207]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f385,plain,
midp(sK25,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
~ perp(sK26,sK23,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
midp(sK25,sK20,sK21),
inference(resolution,[],[f281,f385]) ).
fof(f448,plain,
! [X0,X1] :
( para(X0,sK21,X1,sK20)
| ~ midp(sK25,X0,X1) ),
inference(resolution,[],[f334,f385]) ).
fof(f550,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f288,f310]) ).
fof(f557,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(f559,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X0,X2,X1,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f289,f317]) ).
fof(f571,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(f746,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f357,f276]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f358,f275]) ).
fof(f1006,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f314,f311]) ).
fof(f1012,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f1006]) ).
fof(f1088,plain,
! [X0,X1] :
( para(X0,sK21,sK20,X1)
| ~ midp(sK25,X0,X1) ),
inference(resolution,[],[f448,f274]) ).
fof(f1295,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f550,f309]) ).
fof(f1380,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f557,f309]) ).
fof(f1438,plain,
! [X2,X0,X1] :
( eqangle(X0,X2,X1,X2,X1,X2,X0,X1)
| ~ cong(X0,X1,X0,X2) ),
inference(resolution,[],[f559,f290]) ).
fof(f1558,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f571,f313]) ).
fof(f1559,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f571,f312]) ).
fof(f1569,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1558,f1559]) ).
fof(f3592,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f746,f756]) ).
fof(f3601,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3592]) ).
fof(f5975,plain,
! [X0,X1] :
( para(sK20,X1,X0,sK21)
| ~ midp(sK25,X0,X1) ),
inference(resolution,[],[f1088,f275]) ).
fof(f8850,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ midp(sK25,sK20,sK21) ),
inference(resolution,[],[f1380,f5975]) ).
fof(f8852,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f8850,f389]) ).
fof(f8861,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f8852,f337]) ).
fof(f8888,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f8861,f272]) ).
fof(f9128,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f8888,f271]) ).
fof(f9356,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1569,f8852]) ).
fof(f9385,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f9128,f273]) ).
fof(f9426,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f9385,f9128]) ).
fof(f12033,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f9356,f285]) ).
fof(f12035,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f9356,f287]) ).
fof(f12044,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f9356,f1012]) ).
fof(f12059,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f12044]) ).
fof(f12063,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f12059,f9356]) ).
fof(f12067,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f12035,f9356]) ).
fof(f12173,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f12033,f1012]) ).
fof(f12191,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f12173,f12067]) ).
fof(f12197,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f12191,f12067]) ).
fof(f12268,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X0) ),
inference(resolution,[],[f12063,f327]) ).
fof(f12273,plain,
! [X0,X1] : perp(X0,X0,X1,X0),
inference(forward_subsumption_resolution,[],[f12268,f12197]) ).
fof(f12592,plain,
! [X0,X1] :
( midp(X0,X1,X1)
| ~ coll(X0,X1,X1) ),
inference(resolution,[],[f12197,f338]) ).
fof(f12617,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f12197,f327]) ).
fof(f12642,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f12617,f12197]) ).
fof(f12643,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(forward_subsumption_resolution,[],[f12592,f9426]) ).
fof(f13339,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X2) ),
inference(resolution,[],[f12273,f279]) ).
fof(f13554,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| para(X0,X1,X1,X1)
| perp(X0,X1,X1,X1) ),
inference(resolution,[],[f1438,f343]) ).
fof(f13579,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| para(X0,X1,X1,X1) ),
inference(forward_subsumption_resolution,[],[f13554,f13339]) ).
fof(f13582,plain,
! [X0,X1] : para(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[],[f13579,f12197]) ).
fof(f13593,plain,
! [X0,X1] : para(X0,X1,X0,X0),
inference(resolution,[],[f13582,f1295]) ).
fof(f13660,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X1,X1,X2)
| midp(X0,X1,X2) ),
inference(resolution,[],[f13593,f335]) ).
fof(f13663,plain,
! [X0,X1] : para(X0,X0,X0,X1),
inference(resolution,[],[f13593,f275]) ).
fof(f13677,plain,
! [X2,X0,X1] :
( ~ para(X1,X1,X1,X2)
| midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f13660,f12643]) ).
fof(f13678,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f13677,f13663]) ).
fof(f13729,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f13678,f3601]) ).
fof(f13841,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f13729,f13678]) ).
fof(f14602,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) ),
inference(resolution,[],[f12642,f280]) ).
fof(f14611,plain,
! [X3,X0,X1,X4] : perp(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f14602,f13841]) ).
fof(f15333,plain,
$false,
inference(resolution,[],[f14611,f388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO542+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.45 % Computer : n011.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8046.5625MB
% 0.16/0.45 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Sun Sep 27 08:28:32 UTC 2026
% 0.16/0.46 % CPUTime :
% 0.16/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.61/2.20 % (2092742)Will run a generic schedule for satisfiability detection.
% 11.61/2.20 % (2092752)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2639811735:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.61/2.20 % (2092748)% WARNING: option uhcvi not known.
% 11.61/2.20 % (2092747)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2095696928_2999 on theBenchmark for (2999ds/0Mi)
% 11.61/2.20 % (2092748)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2539960733:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.61/2.20 % (2092750)dis+10_1_sil=32000:sp=arity:random_seed=4270161603:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.61/2.20 % (2092749)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=422066654:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.61/2.20 % (2092753)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1242523536:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.61/2.20 % (2092751)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1751907933:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.61/2.20 % TRYING [1]
% 11.61/2.20 % TRYING [2]
% 11.61/2.20 % (2092752)Instruction limit reached!
% 11.61/2.20 % (2092752)------------------------------
% 11.61/2.20 % (2092752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.61/2.20 % (2092752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.20 % (2092752)CaDiCaL version: 2.1.3
% 11.61/2.20 % (2092752)Termination reason: Instruction limit
% 11.61/2.20 % (2092752)Termination phase: Saturation
% 11.61/2.20 % (2092752)Time elapsed: 0.070 s
% 11.61/2.20 % (2092752)Peak memory usage: 14 MB
% 11.61/2.20 % (2092752)Instructions burned: 131 (million)
% 11.61/2.20 % TRYING [3]
% 11.61/2.20 % (2092761)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2039452739:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.61/2.20 % TRYING [1]
% 11.61/2.20 % TRYING [2]
% 11.61/2.20 % (2092750)Instruction limit reached!
% 11.61/2.20 % (2092750)------------------------------
% 11.61/2.20 % (2092750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.61/2.20 % (2092750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.20 % (2092750)CaDiCaL version: 2.1.3
% 11.61/2.20 % (2092750)Termination reason: Instruction limit
% 11.61/2.20 % (2092750)Termination phase: Saturation
% 11.61/2.20 % (2092750)Time elapsed: 0.108 s
% 11.61/2.20 % (2092750)Peak memory usage: 12 MB
% 11.61/2.20 % (2092750)Instructions burned: 103 (million)
% 11.61/2.20 % (2092751)Instruction limit reached!
% 11.61/2.20 % (2092751)------------------------------
% 11.61/2.20 % (2092751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.61/2.20 % (2092751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.20 % (2092751)CaDiCaL version: 2.1.3
% 11.61/2.20 % (2092751)Termination reason: Instruction limit
% 11.61/2.20 % (2092751)Termination phase: Saturation
% 11.61/2.20 % (2092751)Time elapsed: 0.118 s
% 11.61/2.20 % (2092751)Peak memory usage: 13 MB
% 11.61/2.20 % (2092751)Instructions burned: 116 (million)
% 11.61/2.20 % (2092763)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1189799067:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.61/2.20 % TRYING [3]
% 11.61/2.20 % (2092764)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=2491665187:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.61/2.20 % (2092753)Instruction limit reached!
% 11.61/2.20 % (2092753)------------------------------
% 11.61/2.20 % (2092753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.61/2.20 % (2092753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.20 % (2092753)CaDiCaL version: 2.1.3
% 11.61/2.20 % (2092753)Termination reason: Instruction limit
% 11.61/2.20 % (2092753)Termination phase: Saturation
% 11.61/2.20 % (2092753)Time elapsed: 0.164 s
% 11.61/2.20 % (2092753)Peak memory usage: 15 MB
% 11.61/2.20 % (2092753)Instructions burned: 159 (million)
% 11.61/2.20 % (2092767)ott-21_1_sil=16000:fs=off:random_seed=1345665115:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 11.61/2.20 % (2092763)Instruction limit reached!
% 11.61/2.20 % (2092763)------------------------------
% 11.61/2.20 % (2092763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.61/2.20 % (2092763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092763)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092763)Termination reason: Instruction limit
% 25.14/4.11 % (2092763)Termination phase: Saturation
% 25.14/4.11 % (2092763)Time elapsed: 0.126 s
% 25.14/4.11 % (2092763)Peak memory usage: 14 MB
% 25.14/4.11 % (2092763)Instructions burned: 131 (million)
% 25.14/4.11 % (2092769)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3947841984:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 25.14/4.11 % (2092761)Instruction limit reached!
% 25.14/4.11 % (2092761)------------------------------
% 25.14/4.11 % (2092761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092761)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092761)Termination reason: Instruction limit
% 25.14/4.11 % (2092761)Termination phase: Finite model building constraint generation
% 25.14/4.11 % (2092761)Time elapsed: 0.255 s
% 25.14/4.11 % (2092761)Peak memory usage: 25 MB
% 25.14/4.11 % (2092761)Instructions burned: 716 (million)
% 25.14/4.11 % (2092767)Instruction limit reached!
% 25.14/4.11 % (2092767)------------------------------
% 25.14/4.11 % (2092767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092767)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092767)Termination reason: Instruction limit
% 25.14/4.11 % (2092767)Termination phase: Saturation
% 25.14/4.11 % (2092767)Time elapsed: 0.144 s
% 25.14/4.11 % (2092767)Peak memory usage: 13 MB
% 25.14/4.11 % (2092767)Instructions burned: 180 (million)
% 25.14/4.11 % (2092772)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3507237469:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 25.14/4.11 % (2092771)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1389968347:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 25.14/4.11 % TRYING [1]
% 25.14/4.11 % TRYING [2]
% 25.14/4.11 % TRYING [3]
% 25.14/4.11 % (2092769)Instruction limit reached!
% 25.14/4.11 % (2092769)------------------------------
% 25.14/4.11 % (2092769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092769)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092769)Termination reason: Instruction limit
% 25.14/4.11 % (2092769)Termination phase: Saturation
% 25.14/4.11 % (2092769)Time elapsed: 0.285 s
% 25.14/4.11 % (2092769)Peak memory usage: 15 MB
% 25.14/4.11 % (2092769)Instructions burned: 478 (million)
% 25.14/4.11 % (2092776)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3539995609:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 25.14/4.11 % (2092776)Cannot represent all propositional literals internally
% 25.14/4.11 % (2092776)Refutation not found, incomplete strategy
% 25.14/4.11 % (2092776)------------------------------
% 25.14/4.11 % (2092776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092776)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092776)Termination reason: Refutation not found, incomplete strategy
% 25.14/4.11 % (2092776)Time elapsed: 0.014 s
% 25.14/4.11 % (2092776)Peak memory usage: 10 MB
% 25.14/4.11 % (2092776)Instructions burned: 12 (million)
% 25.14/4.11 % (2092776)------------------------------
% 25.14/4.11 % (2092776)------------------------------
% 25.14/4.11 % (2092778)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=1371188795:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 25.14/4.11 % (2092764)Instruction limit reached!
% 25.14/4.11 % (2092764)------------------------------
% 25.14/4.11 % (2092764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092764)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092764)Termination reason: Instruction limit
% 25.14/4.11 % (2092764)Termination phase: Saturation
% 25.14/4.11 % (2092764)Time elapsed: 0.638 s
% 25.14/4.11 % (2092764)Peak memory usage: 18 MB
% 25.14/4.11 % (2092764)Instructions burned: 684 (million)
% 25.14/4.11 % (2092781)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1843814253:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 25.14/4.11 % (2092771)Instruction limit reached!
% 25.14/4.11 % (2092771)------------------------------
% 25.14/4.11 % (2092771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092771)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092771)Termination reason: Instruction limit
% 25.14/4.11 % (2092771)Termination phase: Finite model building constraint generation
% 25.14/4.11 % (2092771)Time elapsed: 0.585 s
% 25.14/4.11 % (2092771)Peak memory usage: 50 MB
% 25.14/4.11 % (2092771)Instructions burned: 865 (million)
% 25.14/4.11 % (2092778)Instruction limit reached!
% 25.14/4.11 % (2092778)------------------------------
% 25.14/4.11 % (2092778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092778)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092778)Termination reason: Instruction limit
% 25.14/4.11 % (2092778)Termination phase: Saturation
% 25.14/4.11 % (2092778)Time elapsed: 0.332 s
% 25.14/4.11 % (2092778)Peak memory usage: 17 MB
% 25.14/4.11 % (2092778)Instructions burned: 693 (million)
% 25.14/4.11 % (2092784)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3796552713:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 25.14/4.11 % (2092783)fmb+10_1_sil=64000:random_seed=3220293933:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 25.14/4.11 % (2092784)Cannot represent all propositional literals internally
% 25.14/4.11 % (2092784)Refutation not found, incomplete strategy
% 25.14/4.11 % (2092784)------------------------------
% 25.14/4.11 % (2092784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092784)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092784)Termination reason: Refutation not found, incomplete strategy
% 25.14/4.11 % (2092784)Time elapsed: 0.007 s
% 25.14/4.11 % (2092784)Peak memory usage: 10 MB
% 25.14/4.11 % (2092784)Instructions burned: 12 (million)
% 25.14/4.11 % (2092784)------------------------------
% 25.14/4.11 % (2092784)------------------------------
% 25.14/4.11 % TRYING [1]
% 25.14/4.11 % TRYING [2]
% 25.14/4.11 % (2092787)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2478561257:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 25.14/4.11 % TRYING [8]
% 25.14/4.11 % TRYING [3]
% 25.14/4.11 % (2092787)Instruction limit reached!
% 25.14/4.11 % (2092787)------------------------------
% 25.14/4.11 % (2092787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092787)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092787)Termination reason: Instruction limit
% 25.14/4.11 % (2092787)Termination phase: Finite model building constraint generation
% 25.14/4.11 % (2092787)Time elapsed: 0.310 s
% 25.14/4.11 % (2092787)Peak memory usage: 45 MB
% 25.14/4.11 % (2092787)Instructions burned: 921 (million)
% 25.14/4.11 % (2092789)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=213961349:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 25.14/4.11 % (2092772)Instruction limit reached!
% 25.14/4.11 % (2092772)------------------------------
% 25.14/4.11 % (2092772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092772)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092772)Termination reason: Instruction limit
% 25.14/4.11 % (2092772)Termination phase: Saturation
% 25.14/4.11 % (2092772)Time elapsed: 1.177 s
% 25.14/4.11 % (2092772)Peak memory usage: 26 MB
% 25.14/4.11 % (2092772)Instructions burned: 1179 (million)
% 25.14/4.11 % (2092792)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=156130273:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 25.14/4.11 % (2092781)Instruction limit reached!
% 25.14/4.11 % (2092781)------------------------------
% 25.14/4.11 % (2092781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092781)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092781)Termination reason: Instruction limit
% 25.14/4.11 % (2092781)Termination phase: Saturation
% 25.14/4.11 % (2092781)Time elapsed: 0.788 s
% 25.14/4.11 % (2092781)Peak memory usage: 17 MB
% 25.14/4.11 % (2092781)Instructions burned: 880 (million)
% 25.14/4.11 % (2092794)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=489920788:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 25.14/4.11 % (2092794)Cannot represent all propositional literals internally
% 25.14/4.11 % (2092794)Refutation not found, incomplete strategy
% 25.14/4.11 % (2092794)------------------------------
% 25.14/4.11 % (2092794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092794)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092794)Termination reason: Refutation not found, incomplete strategy
% 25.14/4.11 % (2092794)Time elapsed: 0.015 s
% 25.14/4.11 % (2092794)Peak memory usage: 11 MB
% 25.14/4.11 % (2092794)Instructions burned: 15 (million)
% 25.14/4.11 % (2092794)------------------------------
% 25.14/4.11 % (2092794)------------------------------
% 25.14/4.11 % (2092796)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=222307265:fmbsr=2.30978:i=2174_2982 on theBenchmark for (2982ds/2174Mi)
% 25.14/4.11 % (2092796)Cannot represent all propositional literals internally
% 25.14/4.11 % (2092796)Refutation not found, incomplete strategy
% 25.14/4.11 % (2092796)------------------------------
% 25.14/4.11 % (2092796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092796)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092796)Termination reason: Refutation not found, incomplete strategy
% 25.14/4.11 % (2092796)Time elapsed: 0.158 s
% 25.14/4.11 % (2092796)Peak memory usage: 13 MB
% 25.14/4.11 % (2092796)Instructions burned: 165 (million)
% 25.14/4.11 % (2092796)------------------------------
% 25.14/4.11 % (2092796)------------------------------
% 25.14/4.11 % (2092799)ott-2_1_sil=16000:newcnf=on:random_seed=819744689:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 25.14/4.11 % (2092799)Instruction limit reached!
% 25.14/4.11 % (2092799)------------------------------
% 25.14/4.11 % (2092799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092799)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092799)Termination reason: Instruction limit
% 25.14/4.11 % (2092799)Termination phase: Saturation
% 25.14/4.11 % (2092799)Time elapsed: 0.870 s
% 25.14/4.11 % (2092799)Peak memory usage: 16 MB
% 25.14/4.11 % (2092799)Instructions burned: 869 (million)
% 25.14/4.11 % (2092802)ott+10_1_sil=32000:tgt=ground:random_seed=4041549619:i=5114:av=off_2972 on theBenchmark for (2972ds/5114Mi)
% 25.14/4.11 % (2092792)Instruction limit reached!
% 25.14/4.11 % (2092792)------------------------------
% 25.14/4.11 % (2092792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.11 % (2092792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.11 % (2092792)CaDiCaL version: 2.1.3
% 25.14/4.11 % (2092792)Termination reason: Instruction limit
% 25.14/4.11 % (2092792)Termination phase: Saturation
% 25.14/4.11 % (2092792)Time elapsed: 1.583 s
% 25.14/4.11 % (2092792)Peak memory usage: 33 MB
% 25.14/4.11 % (2092792)Instructions burned: 1472 (million)
% 25.14/4.11 % (2092806)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3121912561:i=54282_2967 on theBenchmark for (2967ds/54282Mi)
% 25.14/4.11 % TRYING [1]
% 25.14/4.11 % TRYING [2]
% 25.14/4.11 % TRYING [3]
% 25.14/4.11 % (2092802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2092742-2092802"...
% 25.14/4.11 % (2092802)...printing done.
% 25.14/4.11 % (2092802)Refutation found. Thanks to Tanya!
% 25.14/4.11 % SZS status Theorem for theBenchmark
% 25.14/4.11 % SZS output start Proof for theBenchmark
% See solution above
% 25.14/4.12 % (2092802)------------------------------
% 25.14/4.12 % (2092802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.14/4.12 % (2092802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.14/4.12 % (2092802)CaDiCaL version: 2.1.3
% 25.14/4.12 % (2092802)Termination reason: Refutation
% 25.14/4.12 % (2092802)Time elapsed: 0.727 s
% 25.14/4.12 % (2092802)Peak memory usage: 20 MB
% 25.14/4.12 % (2092802)Instructions burned: 743 (million)
% 25.14/4.12 % (2092742)Success in time 3.599 s
% 25.14/4.12 % Vampire exiting
%------------------------------------------------------------------------------