TSTP Solution File: GEO601+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO601+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:18:00 EDT 2024
% Result : Theorem 61.51s 9.21s
% Output : CNFRefutation 61.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 138 ( 7 unt; 0 def)
% Number of atoms : 359 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 377 ( 156 ~; 151 |; 44 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 425 ( 0 sgn 289 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
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/theBenchmark.p',ruleD17) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12] :
( ( circle(X12,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) )
=> cyclic(X0,X5,X12,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12] :
( ( circle(X12,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) )
=> cyclic(X0,X5,X12,X4) ),
inference(negated_conjecture,[],[f95]) ).
fof(f103,plain,
! [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) ),
inference(rectify,[],[f21]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) )
=> cyclic(X0,X5,X6,X4) ),
inference(rectify,[],[f96]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f195,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,[],[f103]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X5,X6,X4)
& circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X5,X6,X4)
& circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X5,X6,X4)
& circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) )
=> ( ~ cyclic(sK20,sK25,sK26,sK24)
& circle(sK26,sK21,sK20,sK22)
& circle(sK25,sK20,sK23,sK21)
& circle(sK24,sK20,sK23,sK22)
& coll(sK23,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK20,sK25,sK26,sK24)
& circle(sK26,sK21,sK20,sK22)
& circle(sK25,sK20,sK23,sK21)
& circle(sK24,sK20,sK23,sK22)
& coll(sK23,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[f320,f358]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f474,plain,
circle(sK24,sK20,sK23,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
circle(sK25,sK20,sK23,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
~ cyclic(sK20,sK25,sK26,sK24),
inference(cnf_transformation,[],[f359]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_90,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1) ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK20,sK25,sK26,sK24),
inference(cnf_transformation,[],[f477]) ).
cnf(c_164,negated_conjecture,
circle(sK25,sK20,sK23,sK21),
inference(cnf_transformation,[],[f475]) ).
cnf(c_165,negated_conjecture,
circle(sK24,sK20,sK23,sK22),
inference(cnf_transformation,[],[f474]) ).
cnf(c_169,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_275,plain,
( ~ circle(sK25,sK20,sK23,sK21)
| perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_276,plain,
( ~ circle(sK24,sK20,sK23,sK22)
| perp(sK11(sK20,sK23,sK22,sK24),sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_327,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25)
| perp(sK20,sK25,sK11(sK20,sK23,sK21,sK25),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_328,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25)
| perp(sK11(sK20,sK23,sK21,sK25),sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_332,plain,
( ~ perp(X0,X1,sK11(sK20,sK23,sK21,sK25),sK20)
| ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25)
| para(X0,X1,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_336,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25)
| ~ coll(sK25,X0,X1)
| perp(sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,X0,X1),sK11(sK20,sK23,sK21,sK25),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_339,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25)
| ~ coll(sK25,sK20,sK20)
| perp(sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,sK20,sK20),sK11(sK20,sK23,sK21,sK25),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_353,plain,
( ~ perp(sK11(sK20,sK23,sK22,sK24),sK20,sK20,sK24)
| perp(sK20,sK24,sK11(sK20,sK23,sK22,sK24),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_358,plain,
( ~ perp(X0,X1,sK11(sK20,sK23,sK22,sK24),sK20)
| ~ perp(sK11(sK20,sK23,sK22,sK24),sK20,sK20,sK24)
| para(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_596,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK25,sK20)
| perp(sK25,sK20,sK11(sK20,sK23,sK21,sK25),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_601,plain,
( ~ perp(X0,X1,sK11(sK20,sK23,sK21,sK25),sK20)
| ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK25,sK20)
| para(X0,X1,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_754,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK20,sK25)
| ~ perp(sK20,sK25,sK11(sK20,sK23,sK21,sK25),sK20)
| para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_332]) ).
cnf(c_767,plain,
( ~ perp(sK11(sK20,sK23,sK22,sK24),sK20,sK20,sK24)
| ~ perp(sK20,sK24,sK11(sK20,sK23,sK22,sK24),sK20)
| para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_358]) ).
cnf(c_1949,plain,
( ~ para(sK20,sK25,sK20,sK25)
| eqangle(sK20,sK25,X0,X1,sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_1958,plain,
( ~ para(sK20,sK25,sK20,sK25)
| eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1949]) ).
cnf(c_1964,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_1973,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1964]) ).
cnf(c_2164,plain,
( ~ perp(sK11(sK20,sK23,sK21,sK25),sK20,sK25,sK20)
| ~ perp(sK25,sK20,sK11(sK20,sK23,sK21,sK25),sK20)
| para(sK25,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_601]) ).
cnf(c_4202,plain,
( ~ para(sK25,X0,sK25,X1)
| coll(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_4203,plain,
( ~ para(sK25,sK20,sK25,sK20)
| coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4202]) ).
cnf(c_7145,plain,
( ~ perp(sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,X0,X1),sK11(sK20,sK23,sK21,sK25),X0,X1)
| perp(X0,X1,sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,X0,X1),sK11(sK20,sK23,sK21,sK25)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7147,plain,
( ~ perp(sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,sK20,sK20),sK11(sK20,sK23,sK21,sK25),sK20,sK20)
| perp(sK20,sK20,sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,sK20,sK20),sK11(sK20,sK23,sK21,sK25)) ),
inference(instantiation,[status(thm)],[c_7145]) ).
cnf(c_8548,plain,
( ~ perp(sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,X0,X1),sK11(sK20,sK23,sK21,sK25),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,X0,X1),sK11(sK20,sK23,sK21,sK25))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_8549,plain,
( ~ perp(sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,sK20,sK20),sK11(sK20,sK23,sK21,sK25),sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK20,sK23,sK21,sK25),sK25,sK20,sK20,sK20),sK11(sK20,sK23,sK21,sK25))
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8548]) ).
cnf(c_20106,plain,
( ~ cyclic(X0,sK20,sK25,sK26)
| ~ cyclic(X0,sK20,sK25,sK24)
| cyclic(sK20,sK25,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_20107,plain,
( ~ cyclic(sK20,sK20,sK25,sK26)
| ~ cyclic(sK20,sK20,sK25,sK24)
| cyclic(sK20,sK25,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_20106]) ).
cnf(c_21868,plain,
( ~ cyclic(X0,X1,sK20,sK25)
| ~ cyclic(X0,X1,sK20,sK24)
| cyclic(X1,sK20,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_21869,plain,
( ~ cyclic(sK20,sK20,sK20,sK25)
| ~ cyclic(sK20,sK20,sK20,sK24)
| cyclic(sK20,sK20,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_21868]) ).
cnf(c_26949,plain,
( ~ cyclic(X0,X1,sK24,sK20)
| cyclic(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_26950,plain,
( ~ cyclic(sK20,sK20,sK24,sK20)
| cyclic(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_26949]) ).
cnf(c_33650,plain,
( ~ cyclic(X0,sK24,X1,sK20)
| cyclic(X0,X1,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_33651,plain,
( ~ cyclic(sK20,sK24,sK20,sK20)
| cyclic(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_33650]) ).
cnf(c_34562,plain,
( ~ cyclic(sK20,sK25,X0,X1)
| cyclic(sK20,X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_34563,plain,
( ~ cyclic(sK20,sK25,sK20,sK20)
| cyclic(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_34562]) ).
cnf(c_35174,plain,
( ~ eqangle(sK20,sK25,sK20,X0,sK20,sK25,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK25,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_35176,plain,
( ~ eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_35174]) ).
cnf(c_35184,plain,
( ~ eqangle(sK20,sK24,sK20,X0,sK20,sK24,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK24,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_35186,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_35184]) ).
cnf(c_40423,plain,
( ~ cyclic(sK25,sK20,X0,X1)
| cyclic(sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_40424,plain,
( ~ cyclic(sK25,sK20,sK20,sK20)
| cyclic(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40423]) ).
cnf(c_40433,plain,
( ~ cyclic(sK20,X0,sK25,X1)
| cyclic(sK20,X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_40434,plain,
( ~ cyclic(sK20,sK20,sK25,sK20)
| cyclic(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_40433]) ).
cnf(c_40766,plain,
( ~ cyclic(sK24,sK20,X0,X1)
| cyclic(sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_40767,plain,
( ~ cyclic(sK24,sK20,sK20,sK20)
| cyclic(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40766]) ).
cnf(c_42202,plain,
( ~ eqangle(sK25,X0,sK25,sK20,sK26,X0,sK26,sK20)
| ~ coll(sK25,sK26,sK20)
| cyclic(X0,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_42203,plain,
( ~ eqangle(sK25,X0,sK25,sK20,sK26,X0,sK26,sK20)
| cyclic(X0,sK20,sK25,sK26)
| coll(sK25,sK26,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_42204,plain,
( ~ eqangle(sK25,sK20,sK25,sK20,sK26,sK20,sK26,sK20)
| cyclic(sK20,sK20,sK25,sK26)
| coll(sK25,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_42203]) ).
cnf(c_42205,plain,
( ~ eqangle(sK25,sK20,sK25,sK20,sK26,sK20,sK26,sK20)
| ~ coll(sK25,sK26,sK20)
| cyclic(sK20,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_42202]) ).
cnf(c_43253,plain,
( ~ eqangle(sK25,X0,sK26,X0,sK25,sK20,sK26,sK20)
| eqangle(sK25,X0,sK25,sK20,sK26,X0,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_43254,plain,
( ~ eqangle(sK25,sK20,sK26,sK20,sK25,sK20,sK26,sK20)
| eqangle(sK25,sK20,sK25,sK20,sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_43253]) ).
cnf(c_55289,plain,
( ~ para(sK25,sK20,sK25,X0)
| eqangle(sK25,sK20,sK26,sK20,sK25,X0,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_55290,plain,
( ~ para(sK25,sK20,sK25,sK20)
| eqangle(sK25,sK20,sK26,sK20,sK25,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_55289]) ).
cnf(c_55291,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55290,c_43254,c_42205,c_42204,c_40767,c_40434,c_40424,c_35186,c_35176,c_34563,c_33651,c_26950,c_21869,c_20107,c_8549,c_7147,c_4203,c_2164,c_1973,c_1958,c_767,c_754,c_596,c_353,c_339,c_327,c_328,c_276,c_275,c_169,c_162,c_164,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO601+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 01:30:52 EDT 2024
% 0.19/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 61.51/9.21 % SZS status Started for theBenchmark.p
% 61.51/9.21 % SZS status Theorem for theBenchmark.p
% 61.51/9.21
% 61.51/9.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.51/9.21
% 61.51/9.21 ------ iProver source info
% 61.51/9.21
% 61.51/9.21 git: date: 2024-05-02 19:28:25 +0000
% 61.51/9.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.51/9.21 git: non_committed_changes: false
% 61.51/9.21
% 61.51/9.21 ------ Parsing...
% 61.51/9.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 61.51/9.21
% 61.51/9.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 61.51/9.21
% 61.51/9.21 ------ Preprocessing...
% 61.51/9.21
% 61.51/9.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 61.51/9.21 ------ Proving...
% 61.51/9.21 ------ Problem Properties
% 61.51/9.21
% 61.51/9.21
% 61.51/9.21 clauses 117
% 61.51/9.21 conjectures 5
% 61.51/9.21 EPR 80
% 61.51/9.21 Horn 107
% 61.51/9.21 unary 5
% 61.51/9.21 binary 37
% 61.51/9.21 lits 333
% 61.51/9.21 lits eq 4
% 61.51/9.21 fd_pure 0
% 61.51/9.21 fd_pseudo 0
% 61.51/9.21 fd_cond 0
% 61.51/9.21 fd_pseudo_cond 4
% 61.51/9.21 AC symbols 0
% 61.51/9.21
% 61.51/9.21 ------ Input Options Time Limit: Unbounded
% 61.51/9.21
% 61.51/9.21
% 61.51/9.21 ------
% 61.51/9.21 Current options:
% 61.51/9.21 ------
% 61.51/9.21
% 61.51/9.21
% 61.51/9.21
% 61.51/9.21
% 61.51/9.21 ------ Proving...
% 61.51/9.21
% 61.51/9.21
% 61.51/9.21 % SZS status Theorem for theBenchmark.p
% 61.51/9.21
% 61.51/9.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.51/9.21
% 61.51/9.22
%------------------------------------------------------------------------------