%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO654+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 : Fri Sep 25 01:21:46 PM UTC 2026
% Result : Theorem 67.27s 10.86s
% Output : CNFRefutation 67.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 21
% Syntax : Number of formulae : 174 ( 42 unt; 0 def)
% Number of atoms : 416 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 409 ( 167 ~; 161 |; 59 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 643 ( 0 sgn 609 !; 34 ?; 216 :)
% 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,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
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,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/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/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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,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] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> para(X7,X4,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> para(X7,X4,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [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) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [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) ),
inference(ennf_transformation,[],[f20]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9)
& ~ para(X7,X4,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9)
& ~ para(X7,X4,X6,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( perp(sK22,sK24,sK24,sK27)
& circle(sK20,sK21,sK26,sK36)
& coll(sK21,sK24,sK26)
& circle(sK20,sK23,sK25,sK35)
& coll(sK23,sK24,sK25)
& circle(sK22,sK21,sK24,sK34)
& circle(sK22,sK21,sK23,sK33)
& circle(sK20,sK21,sK23,sK32)
& circle(sK22,sK21,sK30,sK31)
& circle(sK20,sK21,sK28,sK29)
& ~ para(sK27,sK24,sK26,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36)],[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(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(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
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(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(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
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] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
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,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
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(f384,plain,
perp(sK22,sK24,sK24,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
circle(sK20,sK23,sK25,sK35),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK23,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ para(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_162,negated_conjecture,
~ para(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f394]) ).
tcf(c_168,negated_conjecture,
coll(sK23,sK24,sK25),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
circle(sK20,sK23,sK25,sK35),
inference(cnf_transformation,[],[f387]) ).
tcf(c_172,negated_conjecture,
perp(sK22,sK24,sK24,sK27),
inference(cnf_transformation,[],[f384]) ).
tcf(c_7742,plain,
( perp(sK24,sK27,sK22,sK24)
| ~ perp(sK22,sK24,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_7758,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK24,sK27)
| ~ perp(sK22,sK24,sK24,sK27)
| ~ perp(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7858,plain,
coll(sK23,sK25,sK24),
inference(superposition,[status(thm)],[c_168,c_49]) ).
tcf(c_8009,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK24,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_8011,plain,
! [X0: $i] :
( coll(sK24,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_7858,c_51]) ).
tcf(c_8049,plain,
coll(sK25,sK25,sK23),
inference(superposition,[status(thm)],[c_168,c_8009]) ).
tcf(c_8050,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_8049,c_51]) ).
tcf(c_8118,plain,
coll(sK24,sK24,sK23),
inference(superposition,[status(thm)],[c_7858,c_8011]) ).
tcf(c_8120,plain,
! [X0: $i] :
( coll(sK23,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_8118,c_51]) ).
tcf(c_8141,plain,
( para(sK24,sK27,sK24,sK27)
| ~ perp(sK22,sK24,sK24,sK27)
| ~ perp(sK24,sK27,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_7758]) ).
tcf(c_8213,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_8049,c_8050]) ).
tcf(c_8217,plain,
coll(sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_8213,c_49]) ).
tcf(c_8260,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_8217,c_51]) ).
tcf(c_8263,plain,
coll(sK24,sK23,sK23),
inference(superposition,[status(thm)],[c_8217,c_8011]) ).
tcf(c_8340,plain,
coll(sK23,sK24,sK23),
inference(superposition,[status(thm)],[c_8263,c_50]) ).
tcf(c_8446,plain,
( perp(sK23,sK25,sK25,sK35)
| ~ coll(sK20,sK23,sK35) ),
inference(superposition,[status(thm)],[c_169,c_102]) ).
tcf(c_8691,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK24,X0) ),
inference(superposition,[status(thm)],[c_8340,c_51]) ).
tcf(c_9527,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK27,X0,X1,sK24,sK27,X0,X1)
| ~ para(sK24,sK27,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_11597,plain,
! [X0: $i] :
( coll(sK23,sK24,X0)
| ~ coll(sK23,X0,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_20745,plain,
! [X0: $i] :
( eqangle(sK24,sK27,sK24,X0,sK24,sK27,sK24,X0)
| ~ para(sK24,sK27,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_9527]) ).
tcf(c_45621,plain,
( perp(sK25,sK35,sK23,sK25)
| ~ coll(sK20,sK23,sK35) ),
inference(superposition,[status(thm)],[c_8446,c_56]) ).
tcf(c_45685,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK24,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_45713,plain,
coll(sK25,sK25,sK23),
inference(superposition,[status(thm)],[c_168,c_45685]) ).
tcf(c_45714,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_45713,c_51]) ).
tcf(c_45781,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_45713,c_45714]) ).
tcf(c_45785,plain,
coll(sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_45781,c_49]) ).
tcf(c_45933,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK35,X0,X1)
| ~ coll(sK20,sK23,sK35)
| ~ perp(sK23,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_45621,c_57]) ).
tcf(c_46195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X2,X3,X4,X5,X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_68]) ).
tcf(c_46196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X3,X0,X3,X1,X2,X0,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_89,c_68]) ).
tcf(c_46410,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_46195,c_91]) ).
tcf(c_46775,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK27,sK24,X0,X1,sK24,X1,X0)
| ~ circle(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_172,c_97]) ).
tcf(c_46816,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,sK24,X1,X0,sK24,sK27,sK24,X0)
| ~ circle(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_46775,c_68]) ).
tcf(c_47961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK24,sK27,sK24,X1,X2,X3,X4,X5)
| ~ circle(sK22,sK24,X1,X0)
| ~ eqangle(X0,sK24,X0,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_46775,c_70]) ).
tcf(c_48276,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK27,sK24,X0,sK24,sK27,sK24,X0)
| ~ circle(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_46816,c_47961]) ).
tcf(c_48480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X3,X1)
| ~ cyclic(X0,X1,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_46196,c_92]) ).
tcf(c_48494,plain,
! [X0: $i] : eqangle(sK24,sK27,sK24,X0,sK24,sK27,sK24,X0),
inference(global_subsumption_just,[status(thm)],[c_48276,c_172,c_7742,c_8141,c_20745]) ).
tcf(c_48501,plain,
! [X0: $i] : eqangle(sK24,X0,sK24,sK27,sK24,X0,sK24,sK27),
inference(superposition,[status(thm)],[c_48494,c_67]) ).
tcf(c_48562,plain,
! [X0: $i] : para(sK24,X0,sK24,X0),
inference(superposition,[status(thm)],[c_48501,c_87]) ).
tcf(c_50678,plain,
! [X0: $i] : coll(sK24,X0,X0),
inference(superposition,[status(thm)],[c_48562,c_115]) ).
tcf(c_50690,plain,
! [X0: $i] : coll(X0,sK24,X0),
inference(superposition,[status(thm)],[c_50678,c_50]) ).
tcf(c_50709,plain,
! [X0: $i] : coll(X0,X0,sK24),
inference(superposition,[status(thm)],[c_50690,c_49]) ).
tcf(c_50793,plain,
! [X0: $i,X1: $i] :
( coll(sK24,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_50709,c_51]) ).
tcf(c_51388,plain,
coll(sK23,sK23,sK23),
inference(superposition,[status(thm)],[c_45785,c_8260]) ).
tcf(c_51416,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_51388,c_51]) ).
tcf(c_56975,plain,
( para(sK25,sK35,sK25,sK35)
| ~ coll(sK20,sK23,sK35) ),
inference(superposition,[status(thm)],[c_8446,c_45933]) ).
tcf(c_57058,plain,
! [X0: $i] :
( cyclic(sK35,X0,sK25,sK25)
| ~ coll(sK20,sK23,sK35)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_56975,c_46410]) ).
tcf(c_57295,plain,
! [X0: $i] :
( cyclic(sK35,sK25,X0,sK25)
| ~ coll(sK20,sK23,sK35)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_57058,c_63]) ).
tcf(c_62130,plain,
! [X0: $i] : coll(sK24,sK24,X0),
inference(superposition,[status(thm)],[c_50709,c_50793]) ).
tcf(c_62149,plain,
! [X0: $i] : coll(sK23,X0,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_8120,c_62130]) ).
tcf(c_62319,plain,
! [X0: $i] : coll(sK23,X0,sK23),
inference(global_subsumption_just,[status(thm)],[c_51416,c_8691,c_11597,c_62149]) ).
tcf(c_62333,plain,
! [X0: $i] : coll(sK23,sK23,X0),
inference(superposition,[status(thm)],[c_62319,c_49]) ).
tcf(c_62486,plain,
! [X0: $i,X1: $i] :
( coll(X1,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_62333,c_51]) ).
tcf(c_62490,plain,
! [X0: $i,X1: $i] : coll(X0,X1,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_62486,c_62333]) ).
tcf(c_62624,plain,
! [X0: $i,X1: $i] : coll(X0,sK23,X1),
inference(superposition,[status(thm)],[c_62490,c_49]) ).
tcf(c_62759,plain,
! [X0: $i] :
( cyclic(sK35,sK25,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57295,c_62624]) ).
tcf(c_63220,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,X1,X0)
| ~ coll(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_62624,c_51]) ).
tcf(c_63230,plain,
! [X0: $i,X1: $i,X2: $i] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_63220,c_62624]) ).
tcf(c_63271,plain,
! [X0: $i] : cyclic(sK35,sK25,X0,sK25),
inference(backward_subsumption_resolution,[status(thm)],[c_62759,c_63230]) ).
tcf(c_65778,plain,
! [X0: $i] : cyclic(sK35,sK25,sK25,X0),
inference(superposition,[status(thm)],[c_63271,c_62]) ).
tcf(c_66517,plain,
! [X0: $i,X1: $i] :
( cyclic(sK25,sK25,X1,X0)
| ~ cyclic(sK35,sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_65778,c_65]) ).
tcf(c_66521,plain,
! [X0: $i,X1: $i] : cyclic(sK25,sK25,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_66517,c_65778]) ).
tcf(c_67157,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK25,X0,X2,X1)
| ~ cyclic(sK25,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_66521,c_65]) ).
tcf(c_67161,plain,
! [X0: $i,X1: $i,X2: $i] : cyclic(sK25,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_67157,c_66521]) ).
tcf(c_67995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(sK25,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_67161,c_65]) ).
tcf(c_68001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_67995,c_67161]) ).
tcf(c_68046,plain,
! [X0: $i,X1: $i] : cong(X0,X1,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_48480,c_68001]) ).
tcf(c_69299,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X0,X2,X1)
| ~ cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_68046,c_105]) ).
tcf(c_69338,plain,
! [X0: $i,X1: $i,X2: $i] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_69299,c_68046]) ).
tcf(c_69656,plain,
! [X0: $i,X1: $i,X2: $i] : perp(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_69338,c_56]) ).
tcf(c_69919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X4,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_69656,c_57]) ).
tcf(c_69948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_69919,c_69338]) ).
tcf(c_69949,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_162,c_69948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO654+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n018.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 12:42:49 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 67.27/10.86 % SZS status Started for theBenchmark.p
% 67.27/10.86 % SZS status Theorem for theBenchmark.p
% 67.27/10.86
% 67.27/10.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 67.27/10.86
% 67.27/10.86 % ------ iProver source info
% 67.27/10.86
% 67.27/10.86 % git: date: 2026-07-19 20:42:38 +0200
% 67.27/10.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 67.27/10.86 % git: non_committed_changes: false
% 67.27/10.86
% 67.27/10.86 % ------ Parsing...
% 67.27/10.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 67.27/10.86
% 67.27/10.86 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 67.27/10.86
% 67.27/10.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 67.27/10.86
% 67.27/10.86 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 67.27/10.86 % ------ Proving...
% 67.27/10.86 % ------ Problem Properties
% 67.27/10.86
% 67.27/10.86 %
% 67.27/10.86 % clauses 123
% 67.27/10.86 % conjectures 11
% 67.27/10.86 % EPR 86
% 67.27/10.86 % Horn 113
% 67.27/10.86 % unary 11
% 67.27/10.86 % binary 37
% 67.27/10.86 % lits 339
% 67.27/10.86 % lits eq 4
% 67.27/10.86 % fd_pure 0
% 67.27/10.86 % fd_pseudo 0
% 67.27/10.86 % fd_cond 0
% 67.27/10.86 % fd_pseudo_cond 4
% 67.27/10.86 % AC symbols 0
% 67.27/10.86
% 67.27/10.86 % ------ Input Options Time Limit: Unbounded
% 67.27/10.86
% 67.27/10.86
% 67.27/10.86 % ------
% 67.27/10.86 % Current options:
% 67.27/10.86 % ------
% 67.27/10.86
% 67.27/10.86
% 67.27/10.86 %
% 67.27/10.86
% 67.27/10.86 % ------ Proving...
% 67.27/10.86 %
% 67.27/10.86
% 67.27/10.86 % SZS status Theorem for theBenchmark.p
% 67.27/10.86
% 67.27/10.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.27/10.87
% 67.27/10.87
%------------------------------------------------------------------------------