TSTP Solution File: TOP023+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.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 31 19:53:24 EDT 2022
% Result : Theorem 2.06s 0.62s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 18
% Syntax : Number of formulae : 148 ( 43 unt; 0 def)
% Number of atoms : 587 ( 146 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 746 ( 307 ~; 302 |; 105 &)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 164 ( 136 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1200,plain,
$false,
inference(subsumption_resolution,[],[f1199,f241]) ).
fof(f241,plain,
m1_subset_1(sK4,sF13),
inference(forward_demodulation,[],[f230,f185]) ).
fof(f185,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( l1_pre_topc(sK2)
& sK4 = sK5
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
& v1_tsp_2(sK4,sK2)
& ~ v1_tsp_2(sK5,sK3)
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
& l1_pre_topc(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f91,f125,f124,f123,f122]) ).
fof(f122,plain,
( ? [X0] :
( l1_pre_topc(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X0)
& ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) ) )
=> ( l1_pre_topc(sK2)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,sK2)
& ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
& l1_pre_topc(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,sK2)
& ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
& l1_pre_topc(X1) )
=> ( ? [X2] :
( ? [X3] :
( X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK3)))
& v1_tsp_2(X2,sK2)
& ~ v1_tsp_2(X3,sK3)
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
& l1_pre_topc(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X2] :
( ? [X3] :
( X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK3)))
& v1_tsp_2(X2,sK2)
& ~ v1_tsp_2(X3,sK3)
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
=> ( ? [X3] :
( sK4 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK3)))
& v1_tsp_2(sK4,sK2)
& ~ v1_tsp_2(X3,sK3)
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) )
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X3] :
( sK4 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK3)))
& v1_tsp_2(sK4,sK2)
& ~ v1_tsp_2(X3,sK3)
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) )
=> ( sK4 = sK5
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
& v1_tsp_2(sK4,sK2)
& ~ v1_tsp_2(sK5,sK3)
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0] :
( l1_pre_topc(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X0)
& ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,X0)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) )
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_2(X2,X0)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3 )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_2(X2,X0)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3 )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(f230,plain,
m1_subset_1(sK5,sF13),
inference(definition_folding,[],[f184,f229,f228]) ).
fof(f228,plain,
u1_struct_0(sK3) = sF12,
introduced(function_definition,[]) ).
fof(f229,plain,
sF13 = k1_zfmisc_1(sF12),
introduced(function_definition,[]) ).
fof(f184,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3))),
inference(cnf_transformation,[],[f126]) ).
fof(f1199,plain,
~ m1_subset_1(sK4,sF13),
inference(forward_demodulation,[],[f1198,f229]) ).
fof(f1198,plain,
~ m1_subset_1(sK4,k1_zfmisc_1(sF12)),
inference(forward_demodulation,[],[f1197,f228]) ).
fof(f1197,plain,
~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3))),
inference(subsumption_resolution,[],[f1196,f696]) ).
fof(f696,plain,
v1_tsp_1(sK4,sK3),
inference(subsumption_resolution,[],[f695,f598]) ).
fof(f598,plain,
sF16 = g1_pre_topc(sF12,sF15),
inference(backward_demodulation,[],[f233,f596]) ).
fof(f596,plain,
sF12 = sF14,
inference(trivial_inequality_removal,[],[f594]) ).
fof(f594,plain,
( sF16 != sF16
| sF12 = sF14 ),
inference(superposition,[],[f591,f239]) ).
fof(f239,plain,
sF16 = g1_pre_topc(sF12,sF17),
inference(backward_demodulation,[],[f235,f236]) ).
fof(f236,plain,
sF16 = sF18,
inference(definition_folding,[],[f181,f235,f234,f228,f233,f232,f231]) ).
fof(f231,plain,
u1_struct_0(sK2) = sF14,
introduced(function_definition,[]) ).
fof(f232,plain,
u1_pre_topc(sK2) = sF15,
introduced(function_definition,[]) ).
fof(f234,plain,
sF17 = u1_pre_topc(sK3),
introduced(function_definition,[]) ).
fof(f181,plain,
g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)),
inference(cnf_transformation,[],[f126]) ).
fof(f235,plain,
g1_pre_topc(sF12,sF17) = sF18,
introduced(function_definition,[]) ).
fof(f591,plain,
! [X2,X3] :
( g1_pre_topc(X2,X3) != sF16
| sF14 = X2 ),
inference(subsumption_resolution,[],[f590,f542]) ).
fof(f542,plain,
m1_subset_1(sF15,k1_zfmisc_1(sF19)),
inference(forward_demodulation,[],[f541,f232]) ).
fof(f541,plain,
m1_subset_1(u1_pre_topc(sK2),k1_zfmisc_1(sF19)),
inference(forward_demodulation,[],[f540,f237]) ).
fof(f237,plain,
sF19 = k1_zfmisc_1(sF14),
introduced(function_definition,[]) ).
fof(f540,plain,
m1_subset_1(u1_pre_topc(sK2),k1_zfmisc_1(k1_zfmisc_1(sF14))),
inference(forward_demodulation,[],[f536,f231]) ).
fof(f536,plain,
m1_subset_1(u1_pre_topc(sK2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK2)))),
inference(resolution,[],[f222,f186]) ).
fof(f186,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f126]) ).
fof(f222,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_pre_topc(X0)
=> m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(f590,plain,
! [X2,X3] :
( g1_pre_topc(X2,X3) != sF16
| sF14 = X2
| ~ m1_subset_1(sF15,k1_zfmisc_1(sF19)) ),
inference(forward_demodulation,[],[f586,f237]) ).
fof(f586,plain,
! [X2,X3] :
( sF14 = X2
| ~ m1_subset_1(sF15,k1_zfmisc_1(k1_zfmisc_1(sF14)))
| g1_pre_topc(X2,X3) != sF16 ),
inference(superposition,[],[f170,f233]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| X0 = X2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X1,X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ! [X3,X2] :
( ( X0 = X2
& X1 = X3 )
| g1_pre_topc(X1,X0) != g1_pre_topc(X3,X2) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3,X2] :
( g1_pre_topc(X1,X0) = g1_pre_topc(X3,X2)
=> ( X0 = X2
& X1 = X3 ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3,X2] :
( g1_pre_topc(X0,X1) = g1_pre_topc(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(f233,plain,
sF16 = g1_pre_topc(sF14,sF15),
introduced(function_definition,[]) ).
fof(f695,plain,
( v1_tsp_1(sK4,sK3)
| sF16 != g1_pre_topc(sF12,sF15) ),
inference(forward_demodulation,[],[f694,f644]) ).
fof(f644,plain,
u1_pre_topc(sK3) = sF15,
inference(backward_demodulation,[],[f234,f639]) ).
fof(f639,plain,
sF17 = sF15,
inference(trivial_inequality_removal,[],[f637]) ).
fof(f637,plain,
( sF16 != sF16
| sF17 = sF15 ),
inference(superposition,[],[f634,f239]) ).
fof(f634,plain,
! [X2,X3] :
( g1_pre_topc(X2,X3) != sF16
| sF15 = X3 ),
inference(subsumption_resolution,[],[f633,f614]) ).
fof(f614,plain,
m1_subset_1(sF15,k1_zfmisc_1(sF13)),
inference(backward_demodulation,[],[f542,f610]) ).
fof(f610,plain,
sF13 = sF19,
inference(forward_demodulation,[],[f599,f229]) ).
fof(f599,plain,
sF19 = k1_zfmisc_1(sF12),
inference(backward_demodulation,[],[f237,f596]) ).
fof(f633,plain,
! [X2,X3] :
( ~ m1_subset_1(sF15,k1_zfmisc_1(sF13))
| sF15 = X3
| g1_pre_topc(X2,X3) != sF16 ),
inference(forward_demodulation,[],[f629,f229]) ).
fof(f629,plain,
! [X2,X3] :
( ~ m1_subset_1(sF15,k1_zfmisc_1(k1_zfmisc_1(sF12)))
| sF15 = X3
| g1_pre_topc(X2,X3) != sF16 ),
inference(superposition,[],[f171,f598]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X1 = X3
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f120]) ).
fof(f694,plain,
( g1_pre_topc(sF12,u1_pre_topc(sK3)) != sF16
| v1_tsp_1(sK4,sK3) ),
inference(subsumption_resolution,[],[f693,f241]) ).
fof(f693,plain,
( v1_tsp_1(sK4,sK3)
| ~ m1_subset_1(sK4,sF13)
| g1_pre_topc(sF12,u1_pre_topc(sK3)) != sF16 ),
inference(forward_demodulation,[],[f692,f229]) ).
fof(f692,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| v1_tsp_1(sK4,sK3)
| g1_pre_topc(sF12,u1_pre_topc(sK3)) != sF16 ),
inference(subsumption_resolution,[],[f690,f179]) ).
fof(f179,plain,
l1_pre_topc(sK3),
inference(cnf_transformation,[],[f126]) ).
fof(f690,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| g1_pre_topc(sF12,u1_pre_topc(sK3)) != sF16
| v1_tsp_1(sK4,sK3)
| ~ l1_pre_topc(sK3) ),
inference(superposition,[],[f671,f228]) ).
fof(f671,plain,
! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK4,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != sF16
| ~ l1_pre_topc(X0) ),
inference(subsumption_resolution,[],[f670,f241]) ).
fof(f670,plain,
! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != sF16
| ~ l1_pre_topc(X0)
| v1_tsp_1(sK4,X0)
| ~ m1_subset_1(sK4,sF13) ),
inference(forward_demodulation,[],[f669,f229]) ).
fof(f669,plain,
! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK4,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != sF16 ),
inference(forward_demodulation,[],[f668,f598]) ).
fof(f668,plain,
! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(sF12,sF15)
| ~ l1_pre_topc(X0)
| v1_tsp_1(sK4,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f667,f597]) ).
fof(f597,plain,
u1_struct_0(sK2) = sF12,
inference(backward_demodulation,[],[f231,f596]) ).
fof(f667,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_tsp_1(sK4,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK2),sF15)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f666,f597]) ).
fof(f666,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_tsp_1(sK4,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK2),sF15) ),
inference(forward_demodulation,[],[f665,f232]) ).
fof(f665,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v1_tsp_1(sK4,X0) ),
inference(subsumption_resolution,[],[f662,f186]) ).
fof(f662,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2))
| ~ l1_pre_topc(sK2)
| v1_tsp_1(sK4,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution,[],[f227,f557]) ).
fof(f557,plain,
v1_tsp_1(sK4,sK2),
inference(subsumption_resolution,[],[f556,f238]) ).
fof(f238,plain,
m1_subset_1(sK4,sF19),
inference(definition_folding,[],[f180,f237,f231]) ).
fof(f180,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f126]) ).
fof(f556,plain,
( ~ m1_subset_1(sK4,sF19)
| v1_tsp_1(sK4,sK2) ),
inference(forward_demodulation,[],[f555,f237]) ).
fof(f555,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF14))
| v1_tsp_1(sK4,sK2) ),
inference(forward_demodulation,[],[f554,f231]) ).
fof(f554,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_tsp_1(sK4,sK2) ),
inference(subsumption_resolution,[],[f553,f186]) ).
fof(f553,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_tsp_1(sK4,sK2)
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f143,f183]) ).
fof(f183,plain,
v1_tsp_2(sK4,sK2),
inference(cnf_transformation,[],[f126]) ).
fof(f143,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ( m1_subset_1(sK0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& sK0(X0,X1) != X1
& v1_tsp_1(sK0(X0,X1),X0)
& r1_tarski(X1,sK0(X0,X1)) )
| ~ v1_tsp_1(X1,X0) )
& ( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f113,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> ( m1_subset_1(sK0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& sK0(X0,X1) != X1
& v1_tsp_1(sK0(X0,X1),X0)
& r1_tarski(X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
| ~ v1_tsp_1(X1,X0) )
& ( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
| ~ v1_tsp_1(X1,X0) )
& ( ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
| ~ v1_tsp_1(X1,X0) )
& ( ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
<=> v1_tsp_2(X1,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> X1 = X2 ) ) )
<=> v1_tsp_2(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f227,plain,
! [X3,X0,X1] :
( ~ v1_tsp_1(X3,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ l1_pre_topc(X0)
| v1_tsp_1(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X2,X0)
| v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ v1_tsp_1(X2,X0)
| v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) ) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& v1_tsp_1(X2,X0) )
=> v1_tsp_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(f1196,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v1_tsp_1(sK4,sK3) ),
inference(subsumption_resolution,[],[f1195,f240]) ).
fof(f240,plain,
~ v1_tsp_2(sK4,sK3),
inference(backward_demodulation,[],[f182,f185]) ).
fof(f182,plain,
~ v1_tsp_2(sK5,sK3),
inference(cnf_transformation,[],[f126]) ).
fof(f1195,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| v1_tsp_2(sK4,sK3)
| ~ v1_tsp_1(sK4,sK3) ),
inference(subsumption_resolution,[],[f1194,f179]) ).
fof(f1194,plain,
( ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(sK4,sK3)
| v1_tsp_2(sK4,sK3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(trivial_inequality_removal,[],[f1191]) ).
fof(f1191,plain,
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| sK4 != sK4
| v1_tsp_2(sK4,sK3)
| ~ v1_tsp_1(sK4,sK3) ),
inference(superposition,[],[f147,f1172]) ).
fof(f1172,plain,
sK0(sK3,sK4) = sK4,
inference(subsumption_resolution,[],[f1171,f241]) ).
fof(f1171,plain,
( sK0(sK3,sK4) = sK4
| ~ m1_subset_1(sK4,sF13) ),
inference(forward_demodulation,[],[f1170,f229]) ).
fof(f1170,plain,
( sK0(sK3,sK4) = sK4
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f1169,f228]) ).
fof(f1169,plain,
( sK0(sK3,sK4) = sK4
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(subsumption_resolution,[],[f1168,f696]) ).
fof(f1168,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| sK0(sK3,sK4) = sK4
| ~ v1_tsp_1(sK4,sK3) ),
inference(subsumption_resolution,[],[f1167,f179]) ).
fof(f1167,plain,
( ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(sK4,sK3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| sK0(sK3,sK4) = sK4 ),
inference(subsumption_resolution,[],[f1166,f240]) ).
fof(f1166,plain,
( v1_tsp_2(sK4,sK3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v1_tsp_1(sK4,sK3)
| ~ l1_pre_topc(sK3)
| sK0(sK3,sK4) = sK4 ),
inference(resolution,[],[f1083,f145]) ).
fof(f145,plain,
! [X0,X1] :
( r1_tarski(X1,sK0(X0,X1))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1083,plain,
( ~ r1_tarski(sK4,sK0(sK3,sK4))
| sK0(sK3,sK4) = sK4 ),
inference(subsumption_resolution,[],[f1066,f713]) ).
fof(f713,plain,
m1_subset_1(sK0(sK3,sK4),sF13),
inference(subsumption_resolution,[],[f712,f241]) ).
fof(f712,plain,
( ~ m1_subset_1(sK4,sF13)
| m1_subset_1(sK0(sK3,sK4),sF13) ),
inference(forward_demodulation,[],[f711,f229]) ).
fof(f711,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| m1_subset_1(sK0(sK3,sK4),sF13) ),
inference(forward_demodulation,[],[f710,f229]) ).
fof(f710,plain,
( m1_subset_1(sK0(sK3,sK4),k1_zfmisc_1(sF12))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f709,f228]) ).
fof(f709,plain,
( m1_subset_1(sK0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f708,f228]) ).
fof(f708,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| m1_subset_1(sK0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(subsumption_resolution,[],[f707,f240]) ).
fof(f707,plain,
( m1_subset_1(sK0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| v1_tsp_2(sK4,sK3) ),
inference(subsumption_resolution,[],[f706,f179]) ).
fof(f706,plain,
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| m1_subset_1(sK0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_tsp_2(sK4,sK3) ),
inference(resolution,[],[f696,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| v1_tsp_2(X1,X0)
| m1_subset_1(sK0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1066,plain,
( ~ m1_subset_1(sK0(sK3,sK4),sF13)
| sK0(sK3,sK4) = sK4
| ~ r1_tarski(sK4,sK0(sK3,sK4)) ),
inference(resolution,[],[f1059,f661]) ).
fof(f661,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK2)
| sK4 = X0
| ~ m1_subset_1(X0,sF13)
| ~ r1_tarski(sK4,X0) ),
inference(subsumption_resolution,[],[f660,f241]) ).
fof(f660,plain,
! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,sF13)
| ~ m1_subset_1(sK4,sF13)
| sK4 = X0
| ~ v1_tsp_1(X0,sK2) ),
inference(forward_demodulation,[],[f659,f229]) ).
fof(f659,plain,
! [X0] :
( sK4 = X0
| ~ m1_subset_1(X0,sF13)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| ~ r1_tarski(sK4,X0) ),
inference(forward_demodulation,[],[f658,f597]) ).
fof(f658,plain,
! [X0] :
( ~ m1_subset_1(X0,sF13)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| sK4 = X0
| ~ r1_tarski(sK4,X0)
| ~ v1_tsp_1(X0,sK2) ),
inference(forward_demodulation,[],[f657,f229]) ).
fof(f657,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF12))
| ~ r1_tarski(sK4,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| sK4 = X0 ),
inference(forward_demodulation,[],[f656,f597]) ).
fof(f656,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ r1_tarski(sK4,X0)
| sK4 = X0
| ~ v1_tsp_1(X0,sK2) ),
inference(subsumption_resolution,[],[f655,f186]) ).
fof(f655,plain,
! [X0] :
( ~ l1_pre_topc(sK2)
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| sK4 = X0
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(resolution,[],[f144,f183]) ).
fof(f144,plain,
! [X3,X0,X1] :
( ~ v1_tsp_2(X1,X0)
| X1 = X3
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1059,plain,
v1_tsp_1(sK0(sK3,sK4),sK2),
inference(subsumption_resolution,[],[f1058,f241]) ).
fof(f1058,plain,
( ~ m1_subset_1(sK4,sF13)
| v1_tsp_1(sK0(sK3,sK4),sK2) ),
inference(forward_demodulation,[],[f1057,f229]) ).
fof(f1057,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| v1_tsp_1(sK0(sK3,sK4),sK2) ),
inference(subsumption_resolution,[],[f1056,f598]) ).
fof(f1056,plain,
( v1_tsp_1(sK0(sK3,sK4),sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12))
| sF16 != g1_pre_topc(sF12,sF15) ),
inference(forward_demodulation,[],[f1055,f228]) ).
fof(f1055,plain,
( v1_tsp_1(sK0(sK3,sK4),sK2)
| g1_pre_topc(u1_struct_0(sK3),sF15) != sF16
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f1054,f644]) ).
fof(f1054,plain,
( sF16 != g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
| v1_tsp_1(sK0(sK3,sK4),sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF12)) ),
inference(forward_demodulation,[],[f1053,f228]) ).
fof(f1053,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| sF16 != g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
| v1_tsp_1(sK0(sK3,sK4),sK2) ),
inference(subsumption_resolution,[],[f1052,f179]) ).
fof(f1052,plain,
( v1_tsp_1(sK0(sK3,sK4),sK2)
| sF16 != g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(subsumption_resolution,[],[f1051,f696]) ).
fof(f1051,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| sF16 != g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
| v1_tsp_1(sK0(sK3,sK4),sK2)
| ~ v1_tsp_1(sK4,sK3)
| ~ l1_pre_topc(sK3) ),
inference(subsumption_resolution,[],[f1050,f240]) ).
fof(f1050,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3)))
| sF16 != g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
| v1_tsp_1(sK0(sK3,sK4),sK2)
| v1_tsp_2(sK4,sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(sK4,sK3) ),
inference(resolution,[],[f976,f713]) ).
fof(f976,plain,
! [X2,X3] :
( ~ m1_subset_1(sK0(X2,X3),sF13)
| ~ v1_tsp_1(X3,X2)
| v1_tsp_1(sK0(X2,X3),sK2)
| ~ l1_pre_topc(X2)
| v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) != sF16 ),
inference(forward_demodulation,[],[f975,f598]) ).
fof(f975,plain,
! [X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(sK0(X2,X3),sF13)
| g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) != g1_pre_topc(sF12,sF15)
| v1_tsp_1(sK0(X2,X3),sK2)
| v1_tsp_2(X3,X2)
| ~ v1_tsp_1(X3,X2)
| ~ l1_pre_topc(X2) ),
inference(forward_demodulation,[],[f974,f232]) ).
fof(f974,plain,
! [X2,X3] :
( v1_tsp_2(X3,X2)
| v1_tsp_1(sK0(X2,X3),sK2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v1_tsp_1(X3,X2)
| ~ m1_subset_1(sK0(X2,X3),sF13)
| g1_pre_topc(sF12,u1_pre_topc(sK2)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) ),
inference(forward_demodulation,[],[f973,f229]) ).
fof(f973,plain,
! [X2,X3] :
( ~ m1_subset_1(sK0(X2,X3),k1_zfmisc_1(sF12))
| ~ l1_pre_topc(X2)
| v1_tsp_2(X3,X2)
| v1_tsp_1(sK0(X2,X3),sK2)
| ~ v1_tsp_1(X3,X2)
| g1_pre_topc(sF12,u1_pre_topc(sK2)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(subsumption_resolution,[],[f972,f186]) ).
fof(f972,plain,
! [X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(sK0(X2,X3),k1_zfmisc_1(sF12))
| v1_tsp_2(X3,X2)
| g1_pre_topc(sF12,u1_pre_topc(sK2)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| v1_tsp_1(sK0(X2,X3),sK2)
| ~ v1_tsp_1(X3,X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f672,f597]) ).
fof(f672,plain,
! [X2,X3,X1] :
( ~ m1_subset_1(sK0(X1,X3),k1_zfmisc_1(u1_struct_0(X2)))
| v1_tsp_2(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X2)
| v1_tsp_1(sK0(X1,X3),X2)
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X3,X1) ),
inference(subsumption_resolution,[],[f664,f148]) ).
fof(f664,plain,
! [X2,X3,X1] :
( ~ m1_subset_1(sK0(X1,X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK0(X1,X3),k1_zfmisc_1(u1_struct_0(X1)))
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| v1_tsp_2(X3,X1)
| ~ v1_tsp_1(X3,X1)
| v1_tsp_1(sK0(X1,X3),X2)
| ~ l1_pre_topc(X2) ),
inference(duplicate_literal_removal,[],[f663]) ).
fof(f663,plain,
! [X2,X3,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(sK0(X1,X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_tsp_2(X3,X1)
| v1_tsp_1(sK0(X1,X3),X2)
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ v1_tsp_1(X3,X1)
| ~ m1_subset_1(sK0(X1,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution,[],[f227,f146]) ).
fof(f146,plain,
! [X0,X1] :
( v1_tsp_1(sK0(X0,X1),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f115]) ).
fof(f147,plain,
! [X0,X1] :
( sK0(X0,X1) != X1
| v1_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:46:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (2404)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49 % (2392)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49 % (2386)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (2386)Instruction limit reached!
% 0.19/0.49 % (2386)------------------------------
% 0.19/0.49 % (2386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2384)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (2394)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (2386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2386)Termination reason: Unknown
% 0.19/0.50 % (2386)Termination phase: Unused predicate definition removal
% 0.19/0.50
% 0.19/0.50 % (2386)Memory used [KB]: 895
% 0.19/0.50 % (2386)Time elapsed: 0.003 s
% 0.19/0.50 % (2386)Instructions burned: 2 (million)
% 0.19/0.50 % (2386)------------------------------
% 0.19/0.50 % (2386)------------------------------
% 0.19/0.50 % (2388)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (2402)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (2387)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (2398)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 TRYING [3]
% 0.19/0.52 % (2390)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (2382)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (2407)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (2406)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (2400)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (2380)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (2378)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (2383)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (2381)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (2379)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (2385)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (2385)Instruction limit reached!
% 0.19/0.53 % (2385)------------------------------
% 0.19/0.53 % (2385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2385)Termination reason: Unknown
% 0.19/0.53 % (2385)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (2385)Memory used [KB]: 5628
% 0.19/0.53 % (2385)Time elapsed: 0.129 s
% 0.19/0.53 % (2385)Instructions burned: 7 (million)
% 0.19/0.53 % (2385)------------------------------
% 0.19/0.53 % (2385)------------------------------
% 0.19/0.53 % (2405)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (2399)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (2401)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (2389)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (2403)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (2397)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (2396)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (2391)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (2393)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54 % (2395)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (2379)Refutation not found, incomplete strategy% (2379)------------------------------
% 0.19/0.55 % (2379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (2379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (2379)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (2379)Memory used [KB]: 5628
% 0.19/0.55 % (2379)Time elapsed: 0.157 s
% 0.19/0.55 % (2379)Instructions burned: 12 (million)
% 0.19/0.55 % (2379)------------------------------
% 0.19/0.55 % (2379)------------------------------
% 0.19/0.56 % (2384)Instruction limit reached!
% 0.19/0.56 % (2384)------------------------------
% 0.19/0.56 % (2384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (2384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (2384)Termination reason: Unknown
% 0.19/0.56 % (2384)Termination phase: Finite model building SAT solving
% 0.19/0.56
% 0.19/0.56 % (2384)Memory used [KB]: 7164
% 0.19/0.56 % (2384)Time elapsed: 0.106 s
% 0.19/0.56 % (2384)Instructions burned: 52 (million)
% 0.19/0.56 % (2384)------------------------------
% 0.19/0.56 % (2384)------------------------------
% 0.19/0.57 TRYING [4]
% 0.19/0.58 % (2380)Instruction limit reached!
% 0.19/0.58 % (2380)------------------------------
% 0.19/0.58 % (2380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (2380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (2380)Termination reason: Unknown
% 0.19/0.58 % (2380)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (2380)Memory used [KB]: 1407
% 0.19/0.58 % (2380)Time elapsed: 0.190 s
% 0.19/0.58 % (2380)Instructions burned: 38 (million)
% 0.19/0.58 % (2380)------------------------------
% 0.19/0.58 % (2380)------------------------------
% 1.75/0.60 % (2392)Instruction limit reached!
% 1.75/0.60 % (2392)------------------------------
% 1.75/0.60 % (2392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (2392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (2392)Termination reason: Unknown
% 1.75/0.60 % (2392)Termination phase: Saturation
% 1.75/0.60
% 1.75/0.60 % (2392)Memory used [KB]: 6396
% 1.75/0.60 % (2392)Time elapsed: 0.041 s
% 1.75/0.60 % (2392)Instructions burned: 68 (million)
% 1.75/0.60 % (2392)------------------------------
% 1.75/0.60 % (2392)------------------------------
% 1.75/0.60 TRYING [5]
% 1.75/0.61 % (2388)Instruction limit reached!
% 1.75/0.61 % (2388)------------------------------
% 1.75/0.61 % (2388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (2388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (2388)Termination reason: Unknown
% 1.75/0.61 % (2388)Termination phase: Saturation
% 1.75/0.61
% 1.75/0.61 % (2388)Memory used [KB]: 6396
% 1.75/0.61 % (2388)Time elapsed: 0.213 s
% 1.75/0.61 % (2388)Instructions burned: 51 (million)
% 1.75/0.61 % (2388)------------------------------
% 1.75/0.61 % (2388)------------------------------
% 1.75/0.61 % (2405)First to succeed.
% 2.06/0.62 % (2405)Refutation found. Thanks to Tanya!
% 2.06/0.62 % SZS status Theorem for theBenchmark
% 2.06/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.62 % (2405)------------------------------
% 2.06/0.62 % (2405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (2405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (2405)Termination reason: Refutation
% 2.06/0.62
% 2.06/0.62 % (2405)Memory used [KB]: 1407
% 2.06/0.62 % (2405)Time elapsed: 0.226 s
% 2.06/0.62 % (2405)Instructions burned: 42 (million)
% 2.06/0.62 % (2405)------------------------------
% 2.06/0.62 % (2405)------------------------------
% 2.06/0.62 % (2377)Success in time 0.265 s
%------------------------------------------------------------------------------