TSTP Solution File: GEO560+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO560+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:17:49 EDT 2024
% Result : Theorem 50.53s 7.68s
% Output : CNFRefutation 50.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 132 ( 18 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 363 ( 130 ~; 124 |; 77 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 661 ( 54 sgn 423 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
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/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
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/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X13,X12] :
( ( coll(X12,X0,X1)
& perp(X12,X13,X0,X1)
& coll(X13,X1,X4)
& coll(X13,X0,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> eqangle(X4,X12,X12,X13,X13,X12,X12,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012020) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X13,X12] :
( ( coll(X12,X0,X1)
& perp(X12,X13,X0,X1)
& coll(X13,X1,X4)
& coll(X13,X0,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> eqangle(X4,X12,X12,X13,X13,X12,X12,X3) ),
inference(negated_conjecture,[],[f95]) ).
fof(f101,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(rectify,[],[f19]) ).
fof(f102,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(rectify,[],[f20]) ).
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(f104,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(rectify,[],[f22]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
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(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
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(f123,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(rectify,[],[f44]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X1,X4)
& coll(X5,X0,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> eqangle(X4,X6,X6,X5,X5,X6,X6,X3) ),
inference(rectify,[],[f96]) ).
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(f193,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,[],[f101]) ).
fof(f194,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,[],[f102]) ).
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(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( 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(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( 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(flattening,[],[f196]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
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(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
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(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X4,X6,X6,X5,X5,X6,X6,X3)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X1,X4)
& coll(X5,X0,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X4,X6,X6,X5,X5,X6,X6,X3)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X1,X4)
& coll(X5,X0,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X4,X6,X6,X5,X5,X6,X6,X3)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X1,X4)
& coll(X5,X0,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> ( ~ eqangle(sK24,sK26,sK26,sK25,sK25,sK26,sK26,sK23)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK23)
& coll(sK24,sK20,sK22)
& perp(sK24,sK21,sK20,sK22)
& coll(sK23,sK21,sK22)
& perp(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK24,sK26,sK26,sK25,sK25,sK26,sK26,sK23)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK23)
& coll(sK24,sK20,sK22)
& perp(sK24,sK21,sK20,sK22)
& coll(sK23,sK21,sK22)
& perp(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[f320,f358]) ).
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(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
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(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( 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,[],[f197]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
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(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
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(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f479,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ eqangle(sK24,sK26,sK26,sK25,sK25,sK26,sK26,sK23),
inference(cnf_transformation,[],[f359]) ).
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_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
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_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
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_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_162,negated_conjecture,
~ eqangle(sK24,sK26,sK26,sK25,sK25,sK26,sK26,sK23),
inference(cnf_transformation,[],[f481]) ).
cnf(c_164,negated_conjecture,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f479]) ).
cnf(c_5828,plain,
( ~ perp(sK26,sK25,sK20,sK21)
| perp(sK20,sK21,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5841,plain,
( ~ perp(X0,X1,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK21)
| para(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_6228,plain,
( ~ perp(sK26,sK25,sK20,sK21)
| ~ perp(sK20,sK21,sK26,sK25)
| para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_5841]) ).
cnf(c_6938,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_8160,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
cnf(c_8412,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X2,X0,X0)
| coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
cnf(c_9947,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_10011,plain,
( ~ eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1)
| eqangle(X0,X1,sK20,sK21,X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_13833,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_17319,plain,
( ~ eqangle(X0,X1,sK20,sK21,X0,X1,sK20,sK21)
| para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_21276,plain,
( ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_13833,c_164,c_5828,c_6228,c_6938,c_9947,c_10011,c_17319]) ).
cnf(c_21277,plain,
( ~ coll(X0,X0,X1)
| cyclic(X2,X1,X0,X0) ),
inference(renaming,[status(thm)],[c_21276]) ).
cnf(c_21283,plain,
( ~ coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_21277,c_64]) ).
cnf(c_23790,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_23795,plain,
cyclic(X1,X2,X0,X0),
inference(global_subsumption_just,[status(thm)],[c_23790,c_164,c_5828,c_6228,c_6938,c_8412,c_10011,c_17319,c_21283]) ).
cnf(c_23796,plain,
cyclic(X0,X1,X2,X2),
inference(renaming,[status(thm)],[c_23795]) ).
cnf(c_23801,plain,
cyclic(X0,X1,X2,X1),
inference(superposition,[status(thm)],[c_23796,c_63]) ).
cnf(c_25474,plain,
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_92]) ).
cnf(c_25483,plain,
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25474,c_23801]) ).
cnf(c_27518,plain,
cyclic(X0,X1,X2,X0),
inference(superposition,[status(thm)],[c_23801,c_64]) ).
cnf(c_27525,plain,
( ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25483,c_27518]) ).
cnf(c_27546,plain,
cyclic(X0,X1,X0,X2),
inference(superposition,[status(thm)],[c_27518,c_62]) ).
cnf(c_27613,plain,
( ~ cyclic(X0,X1,X0,X2)
| cyclic(X1,X0,X3,X2) ),
inference(superposition,[status(thm)],[c_27546,c_65]) ).
cnf(c_27617,plain,
cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_27613,c_27546]) ).
cnf(c_27621,plain,
cong(X0,X1,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_27525,c_27617]) ).
cnf(c_27755,plain,
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_27621,c_105]) ).
cnf(c_27774,plain,
perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_27755,c_27621]) ).
cnf(c_27849,plain,
perp(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_27774,c_56]) ).
cnf(c_27859,plain,
( ~ perp(X0,X0,X1,X2)
| para(X3,X4,X1,X2) ),
inference(superposition,[status(thm)],[c_27849,c_57]) ).
cnf(c_27888,plain,
para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_27859,c_27774]) ).
cnf(c_27927,plain,
eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(backward_subsumption_resolution,[status(thm)],[c_8160,c_27888]) ).
cnf(c_29504,plain,
( ~ eqangle(X0,X1,X0,X1,X2,X3,X4,X5)
| eqangle(X6,X7,X8,X9,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_27927,c_70]) ).
cnf(c_29506,plain,
eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(superposition,[status(thm)],[c_27927,c_68]) ).
cnf(c_29509,plain,
eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(forward_subsumption_resolution,[status(thm)],[c_29504,c_29506]) ).
cnf(c_29510,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_162,c_29509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO560+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:26:01 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 50.53/7.68 % SZS status Started for theBenchmark.p
% 50.53/7.68 % SZS status Theorem for theBenchmark.p
% 50.53/7.68
% 50.53/7.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 50.53/7.68
% 50.53/7.68 ------ iProver source info
% 50.53/7.68
% 50.53/7.68 git: date: 2024-05-02 19:28:25 +0000
% 50.53/7.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 50.53/7.68 git: non_committed_changes: false
% 50.53/7.68
% 50.53/7.68 ------ Parsing...
% 50.53/7.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 50.53/7.68
% 50.53/7.68 ------ 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
% 50.53/7.68
% 50.53/7.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.53/7.68
% 50.53/7.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.53/7.68 ------ Proving...
% 50.53/7.68 ------ Problem Properties
% 50.53/7.68
% 50.53/7.68
% 50.53/7.68 clauses 121
% 50.53/7.68 conjectures 9
% 50.53/7.68 EPR 84
% 50.53/7.68 Horn 111
% 50.53/7.68 unary 9
% 50.53/7.68 binary 37
% 50.53/7.68 lits 337
% 50.53/7.68 lits eq 4
% 50.53/7.68 fd_pure 0
% 50.53/7.68 fd_pseudo 0
% 50.53/7.68 fd_cond 0
% 50.53/7.68 fd_pseudo_cond 4
% 50.53/7.68 AC symbols 0
% 50.53/7.68
% 50.53/7.68 ------ Input Options Time Limit: Unbounded
% 50.53/7.68
% 50.53/7.68
% 50.53/7.68 ------
% 50.53/7.68 Current options:
% 50.53/7.68 ------
% 50.53/7.68
% 50.53/7.68
% 50.53/7.68
% 50.53/7.68
% 50.53/7.68 ------ Proving...
% 50.53/7.68
% 50.53/7.68
% 50.53/7.68 % SZS status Theorem for theBenchmark.p
% 50.53/7.68
% 50.53/7.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.53/7.68
% 50.53/7.69
%------------------------------------------------------------------------------