TSTP Solution File: GEO331+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 11:16:21 EDT 2024
% Result : Theorem 2.74s 0.78s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 101 ( 44 unt; 0 def)
% Number of atoms : 404 ( 254 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 485 ( 182 ~; 217 |; 70 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 168 ( 134 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7372,plain,
$false,
inference(subsumption_resolution,[],[f7371,f2437]) ).
fof(f2437,plain,
sK17(sK53,sK55) != sK17(sK54,sK55),
inference(superposition,[],[f2401,f2430]) ).
fof(f2430,plain,
vf(sK54,sK55) = sK17(sK54,sK55),
inference(resolution,[],[f1964,f875]) ).
fof(f875,plain,
rpoint(sK55),
inference(cnf_transformation,[],[f610]) ).
fof(f610,plain,
( rpoint(sK55)
& vd1352 = sK55 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f245,f609]) ).
fof(f609,plain,
( ? [X0] :
( rpoint(X0)
& vd1352 = X0 )
=> ( rpoint(sK55)
& vd1352 = sK55 ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
? [X0] :
( rpoint(X0)
& vd1352 = X0 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
? [X2] :
( rpoint(X2)
& vd1352 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).
fof(f1964,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK54,X0) = sK17(sK54,X0) ),
inference(resolution,[],[f927,f873]) ).
fof(f873,plain,
rpoint(sK54),
inference(cnf_transformation,[],[f608]) ).
fof(f608,plain,
( rpoint(sK54)
& vd1354 = sK54 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f7,f607]) ).
fof(f607,plain,
( ? [X0] :
( rpoint(X0)
& vd1354 = X0 )
=> ( rpoint(sK54)
& vd1354 = sK54 ) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] :
( rpoint(X0)
& vd1354 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).
fof(f927,plain,
! [X3,X4] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X3,X4) = sK17(X3,X4) ),
inference(equality_resolution,[],[f926]) ).
fof(f926,plain,
! [X3,X1,X4] :
( sK17(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f660]) ).
fof(f660,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK17(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f510]) ).
fof(f510,plain,
! [X0,X1] :
( ( rreal(sK17(X0,X1))
& vf(X0,X1) = sK17(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f508,f509]) ).
fof(f509,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK17(X0,X1))
& vf(X0,X1) = sK17(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f508,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f284]) ).
fof(f284,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X92,X93] :
( ( ? [X95] :
( rpoint(X95)
& X92 = X95 )
& ? [X94] :
( rpoint(X94)
& X93 = X94 ) )
=> ? [X96] :
( rreal(X96)
& vf(X92,X93) = X96 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f2401,plain,
vf(sK54,sK55) != sK17(sK53,sK55),
inference(backward_demodulation,[],[f2302,f2397]) ).
fof(f2397,plain,
vf(sK53,sK55) = sK17(sK53,sK55),
inference(resolution,[],[f1963,f875]) ).
fof(f1963,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK53,X0) = sK17(sK53,X0) ),
inference(resolution,[],[f927,f871]) ).
fof(f871,plain,
rpoint(sK53),
inference(cnf_transformation,[],[f606]) ).
fof(f606,plain,
( rpoint(sK53)
& vd1353 = sK53 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f244,f605]) ).
fof(f605,plain,
( ? [X0] :
( rpoint(X0)
& vd1353 = X0 )
=> ( rpoint(sK53)
& vd1353 = sK53 ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
? [X0] :
( rpoint(X0)
& vd1353 = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
? [X1] :
( rpoint(X1)
& vd1353 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).
fof(f2302,plain,
vf(sK53,sK55) != vf(sK54,sK55),
inference(superposition,[],[f2241,f2281]) ).
fof(f2281,plain,
vf(sK55,sK54) = vf(sK54,sK55),
inference(resolution,[],[f1929,f875]) ).
fof(f1929,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK54) = vf(sK54,X0) ),
inference(resolution,[],[f912,f873]) ).
fof(f912,plain,
! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f911]) ).
fof(f911,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f654]) ).
fof(f654,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X48,X49] :
( ( ? [X51] :
( rpoint(X51)
& X48 = X51 )
& ? [X50] :
( rpoint(X50)
& X49 = X50 ) )
=> vf(X48,X49) = vf(X49,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f2241,plain,
vf(sK55,sK54) != vf(sK53,sK55),
inference(backward_demodulation,[],[f1673,f2240]) ).
fof(f2240,plain,
vf(sK55,sK53) = vf(sK53,sK55),
inference(resolution,[],[f1928,f875]) ).
fof(f1928,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK53) = vf(sK53,X0) ),
inference(resolution,[],[f912,f871]) ).
fof(f1673,plain,
vf(sK55,sK53) != vf(sK55,sK54),
inference(backward_demodulation,[],[f1669,f874]) ).
fof(f874,plain,
vd1352 = sK55,
inference(cnf_transformation,[],[f610]) ).
fof(f1669,plain,
vf(vd1352,sK53) != vf(vd1352,sK54),
inference(backward_demodulation,[],[f1668,f872]) ).
fof(f872,plain,
vd1354 = sK54,
inference(cnf_transformation,[],[f608]) ).
fof(f1668,plain,
vf(vd1352,vd1354) != vf(vd1352,sK53),
inference(backward_demodulation,[],[f611,f870]) ).
fof(f870,plain,
vd1353 = sK53,
inference(cnf_transformation,[],[f606]) ).
fof(f611,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vf(vd1352,vd1353) = vf(vd1352,vd1354),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).
fof(f7371,plain,
sK17(sK53,sK55) = sK17(sK54,sK55),
inference(forward_demodulation,[],[f7370,f2403]) ).
fof(f2403,plain,
vf(sK55,sK53) = sK17(sK53,sK55),
inference(backward_demodulation,[],[f2240,f2397]) ).
fof(f7370,plain,
vf(sK55,sK53) = sK17(sK54,sK55),
inference(forward_demodulation,[],[f7369,f2434]) ).
fof(f2434,plain,
vf(sK55,sK54) = sK17(sK54,sK55),
inference(backward_demodulation,[],[f2281,f2430]) ).
fof(f7369,plain,
vf(sK55,sK53) = vf(sK55,sK54),
inference(subsumption_resolution,[],[f7368,f1683]) ).
fof(f1683,plain,
sK53 != sK54,
inference(superposition,[],[f1667,f872]) ).
fof(f1667,plain,
vd1354 != sK53,
inference(backward_demodulation,[],[f614,f870]) ).
fof(f614,plain,
vd1353 != vd1354,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vd1353 != vd1354,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 9)') ).
fof(f7368,plain,
( sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(subsumption_resolution,[],[f7367,f1682]) ).
fof(f1682,plain,
sK53 != sK55,
inference(superposition,[],[f1666,f874]) ).
fof(f1666,plain,
vd1352 != sK53,
inference(backward_demodulation,[],[f616,f870]) ).
fof(f616,plain,
vd1352 != vd1353,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
vd1352 != vd1353,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 7)') ).
fof(f7367,plain,
( sK53 = sK55
| sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(subsumption_resolution,[],[f7366,f1684]) ).
fof(f1684,plain,
sK54 != sK55,
inference(superposition,[],[f1671,f874]) ).
fof(f1671,plain,
vd1352 != sK54,
inference(backward_demodulation,[],[f615,f872]) ).
fof(f615,plain,
vd1352 != vd1354,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vd1352 != vd1354,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 8)') ).
fof(f7366,plain,
( sK54 = sK55
| sK53 = sK55
| sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(subsumption_resolution,[],[f7365,f871]) ).
fof(f7365,plain,
( ~ rpoint(sK53)
| sK54 = sK55
| sK53 = sK55
| sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(subsumption_resolution,[],[f7364,f873]) ).
fof(f7364,plain,
( ~ rpoint(sK54)
| ~ rpoint(sK53)
| sK54 = sK55
| sK53 = sK55
| sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(subsumption_resolution,[],[f7363,f875]) ).
fof(f7363,plain,
( ~ rpoint(sK55)
| ~ rpoint(sK54)
| ~ rpoint(sK53)
| sK54 = sK55
| sK53 = sK55
| sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(trivial_inequality_removal,[],[f7358]) ).
fof(f7358,plain,
( vangle(sK55,sK53,sK54) != vangle(sK55,sK53,sK54)
| ~ rpoint(sK55)
| ~ rpoint(sK54)
| ~ rpoint(sK53)
| sK54 = sK55
| sK53 = sK55
| sK53 = sK54
| vf(sK55,sK53) = vf(sK55,sK54) ),
inference(superposition,[],[f1617,f1672]) ).
fof(f1672,plain,
vangle(sK55,sK53,sK54) = vangle(sK55,sK54,sK53),
inference(backward_demodulation,[],[f1670,f874]) ).
fof(f1670,plain,
vangle(vd1352,sK53,sK54) = vangle(vd1352,sK54,sK53),
inference(backward_demodulation,[],[f1665,f872]) ).
fof(f1665,plain,
vangle(vd1352,sK53,vd1354) = vangle(vd1352,vd1354,sK53),
inference(backward_demodulation,[],[f618,f870]) ).
fof(f618,plain,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).
fof(f1617,plain,
! [X3,X4,X5] :
( vangle(X3,X4,X5) != vangle(X3,X5,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5
| X4 = X5
| vf(X3,X4) = vf(X3,X5) ),
inference(subsumption_resolution,[],[f1616,f960]) ).
fof(f960,plain,
! [X3,X4,X5] :
( ~ rless(vf(X3,X4),vf(X3,X5))
| vf(X3,X4) = vf(X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5
| X4 = X5
| vangle(X3,X4,X5) != vangle(X3,X5,X4) ),
inference(equality_resolution,[],[f959]) ).
fof(f959,plain,
! [X2,X3,X4,X5] :
( ~ rless(vf(X3,X4),vf(X3,X2))
| vf(X3,X4) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| X3 = X4
| X2 = X3
| X2 = X4
| vangle(X3,X4,X2) != vangle(X3,X2,X4) ),
inference(equality_resolution,[],[f958]) ).
fof(f958,plain,
! [X2,X3,X1,X4,X5] :
( ~ rless(vf(X3,X1),vf(X3,X2))
| vf(X3,X2) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X1 = X3
| X2 = X3
| X1 = X2
| vangle(X3,X2,X1) != vangle(X3,X1,X2) ),
inference(equality_resolution,[],[f670]) ).
fof(f670,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(flattening,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(ennf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2
& X1 != X2
& vangle(X0,X1,X2) = vangle(X0,X2,X1) )
=> ( vf(X0,X1) != vf(X0,X2)
=> ~ rless(vf(X0,X1),vf(X0,X2)) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ? [X6] :
( rpoint(X6)
& X5 = X6 )
& X3 != X4
& X3 != X5
& X4 != X5
& vangle(X3,X4,X5) = vangle(X3,X5,X4) )
=> ( vf(X3,X4) != vf(X3,X5)
=> ~ rless(vf(X3,X4),vf(X3,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 1)') ).
fof(f1616,plain,
! [X3,X4,X5] :
( rless(vf(X3,X4),vf(X3,X5))
| vf(X3,X4) = vf(X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5
| X4 = X5
| vangle(X3,X4,X5) != vangle(X3,X5,X4) ),
inference(subsumption_resolution,[],[f966,f960]) ).
fof(f966,plain,
! [X3,X4,X5] :
( rless(vf(X3,X5),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X5))
| vf(X3,X4) = vf(X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5
| X4 = X5
| vangle(X3,X4,X5) != vangle(X3,X5,X4) ),
inference(equality_resolution,[],[f965]) ).
fof(f965,plain,
! [X2,X3,X4,X5] :
( rless(vf(X3,X2),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X2))
| vf(X3,X4) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| X3 = X4
| X2 = X3
| X2 = X4
| vangle(X3,X4,X2) != vangle(X3,X2,X4) ),
inference(equality_resolution,[],[f964]) ).
fof(f964,plain,
! [X2,X3,X1,X4,X5] :
( rless(vf(X3,X2),vf(X3,X1))
| rless(vf(X3,X1),vf(X3,X2))
| vf(X3,X2) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X1 = X3
| X2 = X3
| X1 = X2
| vangle(X3,X2,X1) != vangle(X3,X1,X2) ),
inference(equality_resolution,[],[f672]) ).
fof(f672,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1,X2] :
( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(flattening,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2] :
( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(ennf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2
& X1 != X2
& vangle(X0,X1,X2) = vangle(X0,X2,X1) )
=> ( vf(X0,X1) != vf(X0,X2)
=> ( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2)) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ? [X6] :
( rpoint(X6)
& X5 = X6 )
& X3 != X4
& X3 != X5
& X4 != X5
& vangle(X3,X4,X5) = vangle(X3,X5,X4) )
=> ( vf(X3,X4) != vf(X3,X5)
=> ( rless(vf(X3,X5),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:22:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18510)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (18513)WARNING: value z3 for option sas not known
% 0.21/0.39 % (18514)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (18512)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (18513)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (18515)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (18511)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (18517)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 % (18516)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.45 Detected minimum model sizes of [3]
% 0.21/0.45 Detected maximum model sizes of [max]
% 0.21/0.45 Cannot represent all propositional literals internally
% 0.21/0.45 % (18514)Refutation not found, incomplete strategy% (18514)------------------------------
% 0.21/0.45 % (18514)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (18514)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45 % (18514)Memory used [KB]: 2902
% 0.21/0.45 % (18514)Time elapsed: 0.062 s
% 0.21/0.45 % (18514)Instructions burned: 136 (million)
% 0.21/0.45 % (18514)------------------------------
% 0.21/0.45 % (18514)------------------------------
% 0.21/0.45 Detected minimum model sizes of [3]
% 0.21/0.45 Detected maximum model sizes of [max]
% 0.21/0.45 Cannot represent all propositional literals internally
% 0.21/0.45 % (18511)Refutation not found, incomplete strategy% (18511)------------------------------
% 0.21/0.45 % (18511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (18511)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45 % (18511)Memory used [KB]: 2756
% 0.21/0.45 % (18511)Time elapsed: 0.064 s
% 0.21/0.45 % (18511)Instructions burned: 135 (million)
% 0.21/0.45 % (18511)------------------------------
% 0.21/0.45 % (18511)------------------------------
% 0.21/0.47 % (18518)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.47 % (18519)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.50 Detected minimum model sizes of [3]
% 0.21/0.50 Detected maximum model sizes of [max]
% 0.21/0.50 Cannot represent all propositional literals internally
% 0.21/0.50 % (18518)Refutation not found, incomplete strategy% (18518)------------------------------
% 0.21/0.50 % (18518)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.50 % (18518)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (18518)Memory used [KB]: 2438
% 0.21/0.50 % (18518)Time elapsed: 0.031 s
% 0.21/0.50 % (18518)Instructions burned: 79 (million)
% 0.21/0.50 % (18518)------------------------------
% 0.21/0.50 % (18518)------------------------------
% 0.21/0.51 % (18533)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 1.28/0.59 Detected minimum model sizes of [3]
% 1.28/0.59 Detected maximum model sizes of [max]
% 1.28/0.59 Cannot represent all propositional literals internally
% 1.28/0.59 % (18512)Refutation not found, incomplete strategy% (18512)------------------------------
% 1.28/0.59 % (18512)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.28/0.59 % (18512)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.59
% 1.28/0.59 % (18512)Memory used [KB]: 6081
% 1.28/0.59 % (18512)Time elapsed: 0.204 s
% 1.28/0.59 % (18512)Instructions burned: 557 (million)
% 1.28/0.59 % (18512)------------------------------
% 1.28/0.59 % (18512)------------------------------
% 1.28/0.60 % (18573)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.74/0.77 % (18533)First to succeed.
% 2.74/0.78 % (18533)Refutation found. Thanks to Tanya!
% 2.74/0.78 % SZS status Theorem for theBenchmark
% 2.74/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/0.78 % (18533)------------------------------
% 2.74/0.78 % (18533)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.74/0.78 % (18533)Termination reason: Refutation
% 2.74/0.78
% 2.74/0.78 % (18533)Memory used [KB]: 6453
% 2.74/0.78 % (18533)Time elapsed: 0.269 s
% 2.74/0.78 % (18533)Instructions burned: 939 (million)
% 2.74/0.78 % (18533)------------------------------
% 2.74/0.78 % (18533)------------------------------
% 2.74/0.78 % (18510)Success in time 0.406 s
%------------------------------------------------------------------------------