TSTP Solution File: GEO271+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO271+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:17:20 EDT 2024
% Result : Theorem 14.05s 2.62s
% Output : CNFRefutation 14.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1438)
% Comments :
%------------------------------------------------------------------------------
fof(f402,plain,
( ? [X0] :
( vd1061 != X0
& rcircle(X0)
& rcenter(vd1055,X0)
& ron(vd1057,X0) )
=> ( vd1061 != sK1
& rcircle(sK1)
& rcenter(vd1055,sK1)
& ron(vd1057,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f425,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
=> ( rcircle(sK7(X0,X1))
& rcenter(X0,sK7(X0,X1))
& ron(X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
cnf(c_51,negated_conjecture,
rcenter(vd1056,sK1),
inference(cnf_transformation,[],[f750]) ).
cnf(c_54,plain,
rcenter(vd1056,vd1061),
inference(cnf_transformation,[],[f752]) ).
cnf(c_96,plain,
( vf(X0,X1) != vf(X0,X2)
| ~ rcenter(X0,X3)
| ~ rcenter(X0,X4)
| ~ ron(X1,X3)
| ~ ron(X2,X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X3 = X4 ),
inference(cnf_transformation,[],[f894]) ).
cnf(c_104,plain,
( ~ rpoint(X0)
| vf(X0,X0) = vd684 ),
inference(cnf_transformation,[],[f1438]) ).
cnf(c_9043,plain,
( ~ rpoint(X0_13)
| vf(X0_13,X0_13) = vd684 ),
inference(subtyping,[status(esa)],[c_104]) ).
cnf(c_9051,plain,
( vf(X0_13,X1_13) != vf(X0_13,X2_13)
| ~ rcenter(X0_13,X0_14)
| ~ rcenter(X0_13,X1_14)
| ~ ron(X1_13,X1_14)
| ~ ron(X2_13,X0_14)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| X1_14 = X0_14 ),
inference(subtyping,[status(esa)],[c_96]) ).
cnf(c_9116,plain,
X0_13 = X0_13,
theory(equality) ).
cnf(c_9126,plain,
( X0_13 != X1_13
| X2_13 != X3_13
| vf(X0_13,X2_13) = vf(X1_13,X3_13) ),
theory(equality) ).
cnf(c_9140,plain,
vd1056 = vd1056,
inference(instantiation,[status(thm)],[c_9116]) ).
cnf(c_15293,plain,
( vf(X0_13,X1_13) != vf(X0_13,X2_13)
| ~ rcenter(X0_13,vd1061)
| ~ rcenter(X0_13,sK1)
| ~ ron(X1_13,vd1061)
| ~ ron(X2_13,sK1)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| vd1061 = sK1 ),
inference(instantiation,[status(thm)],[c_9051]) ).
cnf(c_15752,plain,
( vf(X0_13,vd1058) != vf(X0_13,X1_13)
| ~ rcenter(X0_13,vd1061)
| ~ rcenter(X0_13,sK1)
| ~ ron(X1_13,sK1)
| ~ ron(vd1058,vd1061)
| ~ rpoint(X1_13)
| ~ rpoint(vd1058)
| vd1061 = sK1 ),
inference(instantiation,[status(thm)],[c_15293]) ).
cnf(c_16498,plain,
( vf(X0_13,vd1058) != vf(X0_13,vd1058)
| ~ rcenter(X0_13,vd1061)
| ~ rcenter(X0_13,sK1)
| ~ ron(vd1058,vd1061)
| ~ ron(vd1058,sK1)
| ~ rpoint(vd1058)
| vd1061 = sK1 ),
inference(instantiation,[status(thm)],[c_15752]) ).
cnf(c_16499,plain,
( vf(vd1056,vd1058) != vf(vd1056,vd1058)
| ~ rcenter(vd1056,vd1061)
| ~ rcenter(vd1056,sK1)
| ~ ron(vd1058,vd1061)
| ~ ron(vd1058,sK1)
| ~ rpoint(vd1058)
| vd1061 = sK1 ),
inference(instantiation,[status(thm)],[c_16498]) ).
cnf(c_16502,plain,
( X0_13 != X0_13
| vd1058 != X1_13
| vf(X0_13,vd1058) = vf(X0_13,X1_13) ),
inference(instantiation,[status(thm)],[c_9126]) ).
cnf(c_19350,plain,
( X0_13 != X0_13
| vd1058 != vd1058
| vf(X0_13,vd1058) = vf(X0_13,vd1058) ),
inference(instantiation,[status(thm)],[c_16502]) ).
cnf(c_19351,plain,
( vd1056 != vd1056
| vd1058 != vd1058
| vf(vd1056,vd1058) = vf(vd1056,vd1058) ),
inference(instantiation,[status(thm)],[c_19350]) ).
fof(f4,axiom,
( rpoint(vd1056)
& vd1055 = vd1056
& rpoint(vd1058)
& vd1057 != vd1055
& vd1057 = vd1058 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof(f520,plain,
vd1057 = vd1058,
inference(cnf_transformation,[],[f4]) ).
fof(f29,axiom,
! [X211,X212] :
( ( ? [X214] :
( rpoint(X214)
& X211 = X214 )
& ? [X213] :
( rpoint(X213)
& X212 = X213 )
& X211 != X212 )
=> ? [X215] :
( rcircle(X215)
& rcenter(X211,X215)
& ron(X212,X215) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f932,plain,
! [X3,X4] :
( rcenter(X3,sK7(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f931]) ).
fof(f131,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f29]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f131]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f254]) ).
fof(f424,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f255]) ).
fof(f426,plain,
! [X0,X1] :
( ( rcircle(sK7(X0,X1))
& rcenter(X0,sK7(X0,X1))
& ron(X1,sK7(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f424,f425]) ).
fof(f522,plain,
rpoint(vd1058),
inference(cnf_transformation,[],[f4]) ).
fof(f523,plain,
vd1055 = vd1056,
inference(cnf_transformation,[],[f4]) ).
fof(f575,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK7(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f426]) ).
fof(f576,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK7(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f426]) ).
fof(f931,plain,
! [X3,X1,X4] :
( rcenter(X3,sK7(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f576]) ).
fof(f933,plain,
! [X3,X1,X4] :
( ron(X1,sK7(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f575]) ).
fof(f30,axiom,
! [X216,X217,X218,X219,X220,X221] :
( ( rreal(X217)
& X216 = X217
& rreal(X219)
& X218 = X219
& rreal(X221)
& X220 = X221
& rless(X216,X218) )
=> rless(vplus(X216,X220),vplus(X218,X220)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof(f934,plain,
! [X3,X4] :
( ron(X4,sK7(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f933]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2) )
=> rless(vplus(X0,X4),vplus(X2,X4)) ),
inference(rectify,[],[f30]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(flattening,[],[f256]) ).
fof(f578,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f257]) ).
fof(f935,plain,
! [X2,X3,X1,X4,X5] :
( rless(vplus(X1,X4),vplus(X2,X4))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f578]) ).
fof(f936,plain,
! [X3,X1,X4,X5] :
( rless(vplus(X1,X4),vplus(X3,X4))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f935]) ).
fof(f31,axiom,
! [X222,X223,X224,X225,X226,X227] :
( ( rreal(X223)
& X222 = X223
& rreal(X225)
& X224 = X225
& rreal(X227)
& X226 = X227
& rless(X222,X224)
& rless(X224,X226) )
=> rless(X222,X226) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(f937,plain,
! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f936]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2)
& rless(X2,X4) )
=> rless(X0,X4) ),
inference(rectify,[],[f31]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(ennf_transformation,[],[f133]) ).
fof(f259,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(flattening,[],[f258]) ).
fof(f579,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(cnf_transformation,[],[f259]) ).
fof(f938,plain,
! [X2,X3,X1,X4,X5] :
( rless(X1,X4)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X2)
| ~ rless(X2,X4) ),
inference(equality_resolution,[],[f579]) ).
fof(f939,plain,
! [X3,X1,X4,X5] :
( rless(X1,X4)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X3)
| ~ rless(X3,X4) ),
inference(equality_resolution,[],[f938]) ).
fof(f32,axiom,
! [X228,X229] :
( ( rreal(X229)
& X228 = X229 )
=> ~ rless(X228,X228) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f940,plain,
! [X3,X1,X5] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ),
inference(equality_resolution,[],[f939]) ).
fof(f134,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f32]) ).
fof(f260,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f134]) ).
fof(f261,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f260]) ).
fof(f580,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f261]) ).
fof(f33,axiom,
! [X230,X231,X232,X233] :
( ( rreal(X231)
& X230 = X231
& rreal(X233)
& X232 = X233
& rless(X230,X232) )
=> ( X230 = X232
| ~ rless(X232,X230) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof(f941,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f580]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rless(X0,X2) )
=> ( X0 = X2
| ~ rless(X2,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f263,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(flattening,[],[f262]) ).
fof(f581,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f942,plain,
! [X2,X3,X1] :
( X1 = X2
| ~ rless(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f581]) ).
fof(f34,axiom,
! [X234,X235,X236,X237] :
( ( rreal(X235)
& X234 = X235
& rreal(X237)
& X236 = X237 )
=> ( rless(X236,X234)
| X234 = X236
| rless(X234,X236) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof(f943,plain,
! [X3,X1] :
( X1 = X3
| ~ rless(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f942]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ( rless(X2,X0)
| X0 = X2
| rless(X0,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f264,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f136]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f264]) ).
fof(f582,plain,
! [X2,X3,X0,X1] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f265]) ).
fof(f944,plain,
! [X2,X3,X1] :
( rless(X2,X1)
| X1 = X2
| rless(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f582]) ).
fof(f35,axiom,
! [X238,X239,X240,X241] :
( ( rreal(X239)
& X238 = X239
& rreal(X241)
& X240 = X241 )
=> vplus(X238,X240) = vplus(X240,X238) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof(f945,plain,
! [X3,X1] :
( rless(X3,X1)
| X1 = X3
| rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f944]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> vplus(X0,X2) = vplus(X2,X0) ),
inference(rectify,[],[f35]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f137]) ).
fof(f267,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f266]) ).
fof(f583,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f267]) ).
fof(f946,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f583]) ).
fof(f36,axiom,
! [X242,X243] :
( ( rreal(X243)
& X242 = X243 )
=> vplus(X242,v0) = X242 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f947,plain,
! [X3,X1] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f946]) ).
fof(f138,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
inference(rectify,[],[f36]) ).
fof(f268,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f138]) ).
fof(f269,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f268]) ).
fof(f38,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f584,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f269]) ).
fof(f587,plain,
v0 = vd684,
inference(cnf_transformation,[],[f38]) ).
cnf(c_57,plain,
rpoint(vd1058),
inference(cnf_transformation,[],[f522]) ).
cnf(c_9089,plain,
rpoint(vd1058),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_17146,plain,
vf(vd1058,vd1058) = vd684,
inference(superposition,[status(thm)],[c_9089,c_9043]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1055,X0)
& ron(vd1057,X0) )
=> vd1061 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(211), 1), imp(the(211)))') ).
fof(f750,plain,
rcenter(vd1056,sK1),
inference(definition_unfolding,[],[f514,f523]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1055,X0)
& ron(vd1057,X0) )
=> vd1061 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
( rcircle(vd1061)
& rcenter(vd1055,vd1061)
& ron(vd1057,vd1061) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(211)), 0), and(pred(comma_conjunct1(the(211)), 0), pred(the(211), 0)))') ).
fof(f752,plain,
rcenter(vd1056,vd1061),
inference(definition_unfolding,[],[f518,f523]) ).
fof(f26,axiom,
! [X196,X197] :
( ( ? [X199] :
( rpoint(X199)
& X196 = X199 )
& ? [X198] :
( rpoint(X198)
& X197 = X198 ) )
=> ( v0 = vf(X196,X197)
<=> X196 = X197 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f919,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f918]) ).
fof(f128,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f26]) ).
fof(f210,plain,
? [X0] :
( vd1061 != X0
& rcircle(X0)
& rcenter(vd1055,X0)
& ron(vd1057,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f211,plain,
? [X0] :
( vd1061 != X0
& rcircle(X0)
& rcenter(vd1055,X0)
& ron(vd1057,X0) ),
inference(flattening,[],[f210]) ).
fof(f248,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f249,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f248]) ).
fof(f403,plain,
( vd1061 != sK1
& rcircle(sK1)
& rcenter(vd1055,sK1)
& ron(vd1057,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f211,f402]) ).
fof(f420,plain,
! [X0,X1] :
( ( ( v0 = vf(X0,X1)
| X0 != X1 )
& ( X0 = X1
| v0 != vf(X0,X1) ) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(nnf_transformation,[],[f249]) ).
fof(f513,plain,
ron(vd1057,sK1),
inference(cnf_transformation,[],[f403]) ).
fof(f514,plain,
rcenter(vd1055,sK1),
inference(cnf_transformation,[],[f403]) ).
fof(f516,plain,
vd1061 != sK1,
inference(cnf_transformation,[],[f403]) ).
fof(f517,plain,
ron(vd1057,vd1061),
inference(cnf_transformation,[],[f3]) ).
fof(f518,plain,
rcenter(vd1055,vd1061),
inference(cnf_transformation,[],[f3]) ).
fof(f570,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f420]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f420]) ).
fof(f751,plain,
ron(vd1058,sK1),
inference(definition_unfolding,[],[f513,f520]) ).
fof(f753,plain,
ron(vd1058,vd1061),
inference(definition_unfolding,[],[f517,f520]) ).
fof(f761,plain,
! [X2,X3,X0,X1] :
( vd684 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f571,f587]) ).
fof(f762,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vd684 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f570,f587]) ).
fof(f917,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f761]) ).
fof(f918,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f917]) ).
fof(f920,plain,
! [X2,X3,X1] :
( X1 = X2
| vd684 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f762]) ).
fof(f921,plain,
! [X2,X3] :
( X2 = X3
| vf(X2,X3) != vd684
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f920]) ).
cnf(c_49,negated_conjecture,
vd1061 != sK1,
inference(cnf_transformation,[],[f516]) ).
cnf(c_52,negated_conjecture,
ron(vd1058,sK1),
inference(cnf_transformation,[],[f751]) ).
cnf(c_55,plain,
ron(vd1058,vd1061),
inference(cnf_transformation,[],[f753]) ).
cnf(c_105,plain,
( vf(X0,X1) != vd684
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f921]) ).
cnf(c_9042,plain,
( vf(X0_13,X1_13) != vd684
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_13 = X1_13 ),
inference(subtyping,[status(esa)],[c_105]) ).
cnf(c_9097,negated_conjecture,
vd1061 != sK1,
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_15927,plain,
( vf(vd1058,X0_13) != vd684
| ~ rpoint(X0_13)
| ~ rpoint(vd1058)
| vd1058 = X0_13 ),
inference(instantiation,[status(thm)],[c_9042]) ).
cnf(c_19295,plain,
( vf(vd1058,vd1058) != vd684
| ~ rpoint(vd1058)
| vd1058 = vd1058 ),
inference(instantiation,[status(thm)],[c_15927]) ).
cnf(c_19352,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19351,c_19295,c_17146,c_16499,c_9097,c_9140,c_54,c_55,c_51,c_52,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO271+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 01:16:59 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 14.05/2.62 % SZS status Started for theBenchmark.p
% 14.05/2.62 % SZS status Theorem for theBenchmark.p
% 14.05/2.62
% 14.05/2.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.05/2.62
% 14.05/2.62 ------ iProver source info
% 14.05/2.62
% 14.05/2.62 git: date: 2024-05-02 19:28:25 +0000
% 14.05/2.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.05/2.62 git: non_committed_changes: false
% 14.05/2.62
% 14.05/2.62 ------ Parsing...
% 14.05/2.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 14.05/2.62
% 14.05/2.62 ------ 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
% 14.05/2.62
% 14.05/2.62 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.05/2.62
% 14.05/2.62 ------ Preprocessing... sf_s rm: 8 0s sf_e sf_s rm: 0 0s sf_e
% 14.05/2.62 ------ Proving...
% 14.05/2.62 ------ Problem Properties
% 14.05/2.62
% 14.05/2.62
% 14.05/2.62 clauses 240
% 14.05/2.62 conjectures 4
% 14.05/2.62 EPR 63
% 14.05/2.62 Horn 167
% 14.05/2.62 unary 12
% 14.05/2.62 binary 42
% 14.05/2.62 lits 1441
% 14.05/2.62 lits eq 160
% 14.05/2.62 fd_pure 0
% 14.05/2.62 fd_pseudo 0
% 14.05/2.62 fd_cond 0
% 14.05/2.62 fd_pseudo_cond 42
% 14.05/2.62 AC symbols 0
% 14.05/2.62
% 14.05/2.62 ------ Input Options Time Limit: Unbounded
% 14.05/2.62
% 14.05/2.62
% 14.05/2.62 ------
% 14.05/2.62 Current options:
% 14.05/2.62 ------
% 14.05/2.62
% 14.05/2.62
% 14.05/2.62
% 14.05/2.62
% 14.05/2.62 ------ Proving...
% 14.05/2.62
% 14.05/2.62
% 14.05/2.62 % SZS status Theorem for theBenchmark.p
% 14.05/2.62
% 14.05/2.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.05/2.63
% 14.05/2.63
%------------------------------------------------------------------------------