TSTP Solution File: GEO343+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Wed Aug 30 23:11:04 EDT 2023
% Result : Theorem 7.92s 1.69s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f867)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
( ? [X0] :
( vd1416 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) )
=> ( vd1416 != sK1
& rline(sK1)
& ron(vd1401,sK1)
& ron(vd1399,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f467,plain,
( ? [X0] :
( rpoint(X0)
& vd1399 = X0 )
=> ( rpoint(sK2)
& vd1399 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f468,plain,
( ? [X1] :
( rpoint(X1)
& vd1400 = X1 )
=> ( rpoint(sK3)
& vd1400 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f469,plain,
( ? [X2] :
( rpoint(X2)
& vd1401 = X2 )
=> ( rpoint(sK4)
& vd1401 = sK4 ) ),
introduced(choice_axiom,[]) ).
cnf(c_51,negated_conjecture,
ron(sK4,sK1),
inference(cnf_transformation,[],[f864]) ).
cnf(c_54,plain,
ron(sK4,vd1416),
inference(cnf_transformation,[],[f866]) ).
cnf(c_55,plain,
ron(sK2,vd1416),
inference(cnf_transformation,[],[f867]) ).
fof(f1,conjecture,
! [X0] :
( ( rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) )
=> vd1416 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(408), 1), imp(the(408)))') ).
fof(f864,plain,
ron(sK4,sK1),
inference(definition_unfolding,[],[f591,f605]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) )
=> vd1416 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
( rline(vd1416)
& ron(vd1401,vd1416)
& ron(vd1399,vd1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(f866,plain,
ron(sK4,vd1416),
inference(definition_unfolding,[],[f595,f605]) ).
fof(f5,axiom,
( ? [X3] :
( rpoint(X3)
& vd1399 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1400 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1401 = X1 )
& vd1399 != vd1400
& vd1399 != vd1401
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f605,plain,
vd1401 = sK4,
inference(cnf_transformation,[],[f470]) ).
fof(f47,axiom,
! [X211,X212,X213,X214] :
( ( ? [X218] :
( rpoint(X218)
& X211 = X218 )
& ? [X217] :
( rpoint(X217)
& X212 = X217 )
& ? [X216] :
( rcircle(X216)
& X213 = X216 )
& ? [X215] :
( rcircle(X215)
& X214 = X215 )
& ron(X211,X213)
& ( rinside(X212,X213)
| ron(X212,X213) )
& rinside(X211,X214)
& ~ ron(X212,X214)
& ~ rinside(X212,X214) )
=> rintersect(X213,X214) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))') ).
fof(f1145,plain,
! [X6,X7,X4,X5] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ),
inference(equality_resolution,[],[f1144]) ).
fof(f127,plain,
( ? [X0] :
( rpoint(X0)
& vd1399 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1400 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1401 = X2 )
& vd1399 != vd1400
& vd1399 != vd1401
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(rectify,[],[f5]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rcircle(X6)
& X2 = X6 )
& ? [X7] :
( rcircle(X7)
& X3 = X7 )
& ron(X0,X2)
& ( rinside(X1,X2)
| ron(X1,X2) )
& rinside(X0,X3)
& ~ ron(X1,X3)
& ~ rinside(X1,X3) )
=> rintersect(X2,X3) ),
inference(rectify,[],[f47]) ).
fof(f245,plain,
? [X0] :
( vd1416 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f246,plain,
? [X0] :
( vd1416 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) ),
inference(flattening,[],[f245]) ).
fof(f319,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(ennf_transformation,[],[f164]) ).
fof(f320,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(flattening,[],[f319]) ).
fof(f466,plain,
( vd1416 != sK1
& rline(sK1)
& ron(vd1401,sK1)
& ron(vd1399,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f246,f465]) ).
fof(f470,plain,
( rpoint(sK2)
& vd1399 = sK2
& rpoint(sK3)
& vd1400 = sK3
& rpoint(sK4)
& vd1401 = sK4
& vd1399 != vd1400
& vd1399 != vd1401
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f127,f469,f468,f467]) ).
fof(f590,plain,
ron(vd1399,sK1),
inference(cnf_transformation,[],[f466]) ).
fof(f591,plain,
ron(vd1401,sK1),
inference(cnf_transformation,[],[f466]) ).
fof(f592,plain,
rline(sK1),
inference(cnf_transformation,[],[f466]) ).
fof(f593,plain,
vd1416 != sK1,
inference(cnf_transformation,[],[f466]) ).
fof(f595,plain,
ron(vd1401,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f596,plain,
rline(vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f603,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f470]) ).
fof(f606,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f470]) ).
fof(f609,plain,
vd1399 = sK2,
inference(cnf_transformation,[],[f470]) ).
fof(f610,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f470]) ).
fof(f695,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(cnf_transformation,[],[f320]) ).
fof(f696,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(cnf_transformation,[],[f320]) ).
fof(f865,plain,
ron(sK2,sK1),
inference(definition_unfolding,[],[f590,f609]) ).
fof(f870,plain,
sK2 != sK4,
inference(definition_unfolding,[],[f603,f609,f605]) ).
fof(f1142,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ rinside(X1,X2)
| ~ rinside(X4,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(equality_resolution,[],[f696]) ).
fof(f1143,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ rinside(X5,X2)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1142]) ).
fof(f1144,plain,
! [X3,X6,X7,X4,X5] :
( rintersect(X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1143]) ).
fof(f1146,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X1,X2)
| ~ rinside(X4,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(equality_resolution,[],[f695]) ).
fof(f1147,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1146]) ).
fof(f1148,plain,
! [X3,X6,X7,X4,X5] :
( rintersect(X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1147]) ).
fof(f48,axiom,
! [X219,X220,X221,X222,X223] :
( ( ? [X226] :
( rpoint(X226)
& X219 = X226 )
& ? [X225] :
( rpoint(X225)
& X220 = X225 )
& ? [X224] :
( rpoint(X224)
& X221 = X224 )
& X219 != X220
& X219 != X221
& X220 != X221
& rline(X223)
& ron(X219,X222)
& ron(X220,X222)
& ron(X221,X222)
& X222 = X223 )
=> ( rR(X221,X219,X220)
| rR(X219,X220,X221)
| rR(X220,X219,X221) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f1149,plain,
! [X6,X7,X4,X5] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ),
inference(equality_resolution,[],[f1148]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& rline(X4)
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& X3 = X4 )
=> ( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ) ),
inference(rectify,[],[f48]) ).
fof(f321,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f165]) ).
fof(f322,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f321]) ).
fof(f697,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f322]) ).
fof(f1150,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X2,X5,X1)
| rR(X5,X1,X2)
| rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f697]) ).
fof(f1151,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X2,X5,X6)
| rR(X5,X6,X2)
| rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1150]) ).
fof(f1152,plain,
! [X3,X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1151]) ).
fof(f49,axiom,
! [X227,X228,X229,X230] :
( ( rpoint(X228)
& X227 = X228
& rcircle(X230)
& X229 = X230
& rinside(X227,X229) )
=> ~ ron(X227,X229) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(f1153,plain,
! [X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1152]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rinside(X0,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f49]) ).
fof(f323,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(ennf_transformation,[],[f166]) ).
fof(f324,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(flattening,[],[f323]) ).
fof(f698,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(cnf_transformation,[],[f324]) ).
fof(f1154,plain,
! [X2,X3,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X1,X2) ),
inference(equality_resolution,[],[f698]) ).
fof(f50,axiom,
! [X231,X232,X233,X234] :
( ( ? [X238] :
( rpoint(X238)
& X231 = X238 )
& ? [X237] :
( rpoint(X237)
& X232 = X237 )
& X231 != X232
& ? [X236] :
( rline(X236)
& X233 = X236 )
& ? [X235] :
( rline(X235)
& X234 = X235 )
& ron(X231,X233)
& ron(X231,X234)
& ron(X232,X233)
& ron(X232,X234) )
=> X233 = X234 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f1155,plain,
! [X3,X1] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ),
inference(equality_resolution,[],[f1154]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& X0 != X1
& ? [X6] :
( rline(X6)
& X2 = X6 )
& ? [X7] :
( rline(X7)
& X3 = X7 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
inference(rectify,[],[f50]) ).
fof(f325,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f167]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f325]) ).
fof(f699,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f326]) ).
fof(f1156,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f699]) ).
fof(f1157,plain,
! [X2,X3,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X5,X2)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1156]) ).
fof(f1158,plain,
! [X3,X6,X7,X4,X5] :
( X3 = X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1157]) ).
fof(f1159,plain,
! [X6,X7,X4,X5] :
( X6 = X7
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| ~ ron(X5,X7) ),
inference(equality_resolution,[],[f1158]) ).
cnf(c_49,negated_conjecture,
vd1416 != sK1,
inference(cnf_transformation,[],[f593]) ).
cnf(c_50,negated_conjecture,
rline(sK1),
inference(cnf_transformation,[],[f592]) ).
cnf(c_52,negated_conjecture,
ron(sK2,sK1),
inference(cnf_transformation,[],[f865]) ).
cnf(c_53,plain,
rline(vd1416),
inference(cnf_transformation,[],[f596]) ).
cnf(c_57,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f610]) ).
cnf(c_59,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f606]) ).
cnf(c_61,plain,
sK4 != sK2,
inference(cnf_transformation,[],[f870]) ).
cnf(c_154,plain,
( ~ ron(X0,X1)
| ~ ron(X0,X2)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| X0 = X3
| X1 = X2 ),
inference(cnf_transformation,[],[f1159]) ).
cnf(c_5381,plain,
( ~ ron(X0_13,X0_14)
| ~ ron(X0_13,X1_14)
| ~ ron(X1_13,X0_14)
| ~ ron(X1_13,X1_14)
| ~ rline(X0_14)
| ~ rline(X1_14)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_13 = X1_13
| X0_14 = X1_14 ),
inference(subtyping,[status(esa)],[c_154]) ).
cnf(c_5473,plain,
sK4 != sK2,
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_5485,negated_conjecture,
vd1416 != sK1,
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_11985,plain,
( ~ ron(X0_13,vd1416)
| ~ ron(X0_13,sK1)
| ~ ron(X1_13,vd1416)
| ~ ron(X1_13,sK1)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rline(vd1416)
| ~ rline(sK1)
| X0_13 = X1_13
| vd1416 = sK1 ),
inference(instantiation,[status(thm)],[c_5381]) ).
cnf(c_12354,plain,
( ~ ron(sK4,vd1416)
| ~ ron(sK4,sK1)
| ~ ron(sK2,vd1416)
| ~ ron(sK2,sK1)
| ~ rline(vd1416)
| ~ rline(sK1)
| ~ rpoint(sK4)
| ~ rpoint(sK2)
| vd1416 = sK1
| sK4 = sK2 ),
inference(instantiation,[status(thm)],[c_11985]) ).
cnf(c_12355,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12354,c_5485,c_5473,c_54,c_55,c_51,c_52,c_53,c_57,c_59,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 19:23:35 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.92/1.69 % SZS status Started for theBenchmark.p
% 7.92/1.69 % SZS status Theorem for theBenchmark.p
% 7.92/1.69
% 7.92/1.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.92/1.69
% 7.92/1.69 ------ iProver source info
% 7.92/1.69
% 7.92/1.69 git: date: 2023-05-31 18:12:56 +0000
% 7.92/1.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.92/1.69 git: non_committed_changes: false
% 7.92/1.69 git: last_make_outside_of_git: false
% 7.92/1.69
% 7.92/1.69 ------ Parsing...
% 7.92/1.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.92/1.69
% 7.92/1.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 7.92/1.69
% 7.92/1.69 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.92/1.69
% 7.92/1.69 ------ Preprocessing... sf_s rm: 11 0s sf_e
% 7.92/1.69 ------ Proving...
% 7.92/1.69 ------ Problem Properties
% 7.92/1.69
% 7.92/1.69
% 7.92/1.69 clauses 275
% 7.92/1.69 conjectures 4
% 7.92/1.69 EPR 72
% 7.92/1.69 Horn 179
% 7.92/1.69 unary 24
% 7.92/1.69 binary 42
% 7.92/1.69 lits 1703
% 7.92/1.69 lits eq 284
% 7.92/1.69 fd_pure 0
% 7.92/1.69 fd_pseudo 0
% 7.92/1.69 fd_cond 0
% 7.92/1.69 fd_pseudo_cond 65
% 7.92/1.69 AC symbols 0
% 7.92/1.69
% 7.92/1.69 ------ Input Options Time Limit: Unbounded
% 7.92/1.69
% 7.92/1.69
% 7.92/1.69 ------
% 7.92/1.69 Current options:
% 7.92/1.69 ------
% 7.92/1.69
% 7.92/1.69
% 7.92/1.69
% 7.92/1.69
% 7.92/1.69 ------ Proving...
% 7.92/1.69
% 7.92/1.69
% 7.92/1.69 % SZS status Theorem for theBenchmark.p
% 7.92/1.69
% 7.92/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.92/1.69
% 7.92/1.69
%------------------------------------------------------------------------------