TSTP Solution File: TOP047+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP047+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Mon Jun 24 21:16:35 EDT 2024
% Result : Theorem 4.06s 1.18s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f4,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v1_pre_topc(X0)
=> g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f23,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f24,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m4_yellow_6(X1,X0)
=> ! [X2] :
( ( l1_pre_topc(X2)
& v1_pre_topc(X2) )
=> ( k14_yellow_6(X0,X1) = X2
<=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X0) = u1_struct_0(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d27_yellow_6) ).
fof(f28,axiom,
! [X0,X1] :
( ( m4_yellow_6(X1,X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(f34,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> m4_yellow_6(k3_waybel28(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f36,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f44,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f60,axiom,
! [X0,X1] :
( ( m4_yellow_6(X1,X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ( v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc24_yellow_6) ).
fof(f61,axiom,
! [X0,X1] :
( ( m4_yellow_6(X1,X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc25_yellow_6) ).
fof(f68,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f70,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_waybel33) ).
fof(f93,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f131,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f130]) ).
fof(f146,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f147,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f146]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k14_yellow_6(X0,X1) = X2
<=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X0) = u1_struct_0(X2) ) )
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k14_yellow_6(X0,X1) = X2
<=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X0) = u1_struct_0(X2) ) )
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f164,plain,
! [X0,X1] :
( ( l1_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) )
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f165,plain,
! [X0,X1] :
( ( l1_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) )
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f167,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f172,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f181,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) )
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f182,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) )
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f181]) ).
fof(f183,plain,
! [X0,X1] :
( ( v2_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) )
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f184,plain,
! [X0,X1] :
( ( v2_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) )
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f183]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f191]) ).
fof(f221,plain,
( ? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( ? [X1] :
( k14_yellow_6(X1,k3_waybel28(X1)) != k14_yellow_6(sK2,k3_waybel28(sK2))
& g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2))
& l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(sK2)
& v2_lattice3(sK2)
& v25_waybel_0(sK2)
& v24_waybel_0(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
( ? [X1] :
( k14_yellow_6(X1,k3_waybel28(X1)) != k14_yellow_6(sK2,k3_waybel28(sK2))
& g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2))
& l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3))
& g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
& l1_orders_2(sK3)
& v2_lattice3(sK3)
& v25_waybel_0(sK3)
& v24_waybel_0(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
( k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3))
& g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
& l1_orders_2(sK3)
& v2_lattice3(sK3)
& v25_waybel_0(sK3)
& v24_waybel_0(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3)
& l1_orders_2(sK2)
& v2_lattice3(sK2)
& v25_waybel_0(sK2)
& v24_waybel_0(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f127,f222,f221]) ).
fof(f224,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f225,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k14_yellow_6(X0,X1) = X2
| u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(X2) )
& ( ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X0) = u1_struct_0(X2) )
| k14_yellow_6(X0,X1) != X2 ) )
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k14_yellow_6(X0,X1) = X2
| u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(X2) )
& ( ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X0) = u1_struct_0(X2) )
| k14_yellow_6(X0,X1) != X2 ) )
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f226]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f301,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f302,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f303,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f304,plain,
v24_waybel_0(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f305,plain,
v25_waybel_0(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f306,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f307,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f223]) ).
fof(f308,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f309,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f310,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f311,plain,
v24_waybel_0(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f312,plain,
v25_waybel_0(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f313,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f314,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f223]) ).
fof(f315,plain,
g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
inference(cnf_transformation,[],[f223]) ).
fof(f316,plain,
k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)),
inference(cnf_transformation,[],[f223]) ).
fof(f318,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f335,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f350,plain,
! [X0,X1] :
( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f351,plain,
! [X2,X0,X1] :
( u1_struct_0(X0) = u1_struct_0(X2)
| k14_yellow_6(X0,X1) != X2
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f360,plain,
! [X0,X1] :
( l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f361,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f362,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f366,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f384,plain,
! [X0,X1] :
( v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f386,plain,
! [X0,X1] :
( v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f413,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f473,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f492,plain,
! [X0,X1] :
( u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f351]) ).
cnf(c_49,negated_conjecture,
k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)),
inference(cnf_transformation,[],[f316]) ).
cnf(c_50,negated_conjecture,
g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
inference(cnf_transformation,[],[f315]) ).
cnf(c_51,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f314]) ).
cnf(c_52,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f313]) ).
cnf(c_53,negated_conjecture,
v25_waybel_0(sK3),
inference(cnf_transformation,[],[f312]) ).
cnf(c_54,negated_conjecture,
v24_waybel_0(sK3),
inference(cnf_transformation,[],[f311]) ).
cnf(c_55,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f310]) ).
cnf(c_56,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f309]) ).
cnf(c_57,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f308]) ).
cnf(c_58,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f307]) ).
cnf(c_59,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f306]) ).
cnf(c_60,negated_conjecture,
v25_waybel_0(sK2),
inference(cnf_transformation,[],[f305]) ).
cnf(c_61,negated_conjecture,
v24_waybel_0(sK2),
inference(cnf_transformation,[],[f304]) ).
cnf(c_62,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f303]) ).
cnf(c_63,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f302]) ).
cnf(c_64,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f301]) ).
cnf(c_66,plain,
( ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_76,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_86,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_91,plain,
( ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f492]) ).
cnf(c_96,plain,
( ~ m4_yellow_6(X0,X1)
| ~ l1_struct_0(X1)
| l1_pre_topc(k14_yellow_6(X1,X0))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_98,plain,
( ~ l1_orders_2(X0)
| m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_99,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_103,plain,
( ~ l1_orders_2(X0)
| m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_120,plain,
( ~ m4_yellow_6(X0,X1)
| ~ l1_struct_0(X1)
| v1_pre_topc(k14_yellow_6(X1,X0))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_123,plain,
( ~ m4_yellow_6(X0,X1)
| ~ l1_struct_0(X1)
| v1_pre_topc(k14_yellow_6(X1,X0))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_146,plain,
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0)
| X1 = X3 ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_147,plain,
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_150,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X0)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X0)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_211,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_345,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_211]) ).
cnf(c_349,plain,
( ~ l1_orders_2(X0)
| m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
cnf(c_1289,plain,
( ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_91,c_96]) ).
cnf(c_1301,plain,
( ~ m4_yellow_6(X0,X1)
| ~ l1_struct_0(X1)
| u1_struct_0(k14_yellow_6(X1,X0)) = u1_struct_0(X1)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1289,c_120]) ).
cnf(c_2280,plain,
( u1_struct_0(X0) != X2
| u1_struct_0(X0) != X3
| u1_orders_2(X0) != X1
| ~ l1_orders_2(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_345,c_349]) ).
cnf(c_2281,plain,
( ~ l1_orders_2(X0)
| m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2280]) ).
cnf(c_5907,plain,
( ~ l1_orders_2(X0)
| m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_2281]) ).
cnf(c_10550,plain,
u1_struct_0(sK2) = sP0_iProver_def,
definition ).
cnf(c_10551,plain,
u1_orders_2(sK2) = sP1_iProver_def,
definition ).
cnf(c_10552,plain,
g1_orders_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_10553,plain,
u1_struct_0(sK3) = sP3_iProver_def,
definition ).
cnf(c_10554,plain,
u1_orders_2(sK3) = sP4_iProver_def,
definition ).
cnf(c_10555,plain,
g1_orders_2(sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_10556,plain,
k3_waybel28(sK2) = sP6_iProver_def,
definition ).
cnf(c_10557,plain,
k14_yellow_6(sK2,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_10558,plain,
k3_waybel28(sK3) = sP8_iProver_def,
definition ).
cnf(c_10559,plain,
k14_yellow_6(sK3,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_10560,negated_conjecture,
v2_orders_2(sK2),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_10561,negated_conjecture,
v3_orders_2(sK2),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_10562,negated_conjecture,
v4_orders_2(sK2),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_10563,negated_conjecture,
v24_waybel_0(sK2),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_10564,negated_conjecture,
v25_waybel_0(sK2),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_10565,negated_conjecture,
v2_lattice3(sK2),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_10566,negated_conjecture,
l1_orders_2(sK2),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_10567,negated_conjecture,
v2_orders_2(sK3),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_10568,negated_conjecture,
v3_orders_2(sK3),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_10569,negated_conjecture,
v4_orders_2(sK3),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_10570,negated_conjecture,
v24_waybel_0(sK3),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_10571,negated_conjecture,
v25_waybel_0(sK3),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_10572,negated_conjecture,
v2_lattice3(sK3),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_10573,negated_conjecture,
l1_orders_2(sK3),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_10574,negated_conjecture,
sP2_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_10554,c_10553,c_10555,c_10551,c_10550,c_10552]) ).
cnf(c_10575,negated_conjecture,
sP7_iProver_def != sP9_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_10558,c_10559,c_10556,c_10557]) ).
cnf(c_12947,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_10573,c_99]) ).
cnf(c_12948,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_10566,c_99]) ).
cnf(c_12972,plain,
g1_orders_2(sP3_iProver_def,sP4_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_10555,c_10574]) ).
cnf(c_13058,plain,
( ~ v2_lattice3(sK3)
| ~ v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_10573,c_76]) ).
cnf(c_13059,plain,
( ~ v2_lattice3(sK2)
| ~ v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_10566,c_76]) ).
cnf(c_13064,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13059,c_10565]) ).
cnf(c_13065,plain,
~ v3_struct_0(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13058,c_10572]) ).
cnf(c_13120,plain,
( ~ l1_orders_2(sK2)
| m4_yellow_6(sP6_iProver_def,sK2)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_10556,c_98]) ).
cnf(c_13121,plain,
( ~ l1_orders_2(sK3)
| m4_yellow_6(sP8_iProver_def,sK3)
| v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_10558,c_98]) ).
cnf(c_13122,plain,
m4_yellow_6(sP8_iProver_def,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13121,c_13065,c_10573]) ).
cnf(c_13123,plain,
m4_yellow_6(sP6_iProver_def,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13120,c_13064,c_10566]) ).
cnf(c_13463,plain,
( ~ l1_orders_2(sK3)
| m1_relset_1(u1_orders_2(sK3),sP3_iProver_def,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_10553,c_5907]) ).
cnf(c_13466,plain,
( ~ l1_orders_2(sK3)
| m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_13463,c_10554]) ).
cnf(c_13467,plain,
m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13466,c_10573]) ).
cnf(c_13742,plain,
( ~ m4_yellow_6(sP6_iProver_def,sK2)
| ~ l1_struct_0(sK2)
| l1_pre_topc(sP7_iProver_def)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_10557,c_96]) ).
cnf(c_13743,plain,
( ~ m4_yellow_6(sP8_iProver_def,sK3)
| ~ l1_struct_0(sK3)
| l1_pre_topc(sP9_iProver_def)
| v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_10559,c_96]) ).
cnf(c_13746,plain,
l1_pre_topc(sP9_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13743,c_13065,c_12947,c_13122]) ).
cnf(c_13747,plain,
l1_pre_topc(sP7_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13742,c_13064,c_12948,c_13123]) ).
cnf(c_13816,plain,
( ~ m4_yellow_6(sP6_iProver_def,sK2)
| ~ l1_struct_0(sK2)
| v1_pre_topc(sP7_iProver_def)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_10557,c_123]) ).
cnf(c_13817,plain,
( ~ m4_yellow_6(sP8_iProver_def,sK3)
| ~ l1_struct_0(sK3)
| v1_pre_topc(sP9_iProver_def)
| v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_10559,c_123]) ).
cnf(c_13818,plain,
v1_pre_topc(sP9_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13817,c_13065,c_12947,c_13122]) ).
cnf(c_13819,plain,
v1_pre_topc(sP7_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13816,c_13064,c_12948,c_13123]) ).
cnf(c_13888,plain,
( ~ l1_pre_topc(sP9_iProver_def)
| g1_pre_topc(u1_struct_0(sP9_iProver_def),u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_13818,c_66]) ).
cnf(c_13889,plain,
g1_pre_topc(u1_struct_0(sP9_iProver_def),u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_13888,c_13746]) ).
cnf(c_13892,plain,
( ~ l1_pre_topc(sP7_iProver_def)
| g1_pre_topc(u1_struct_0(sP7_iProver_def),u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_13819,c_66]) ).
cnf(c_13893,plain,
g1_pre_topc(u1_struct_0(sP7_iProver_def),u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_13892,c_13747]) ).
cnf(c_14603,plain,
( ~ l1_struct_0(sK2)
| u1_struct_0(k14_yellow_6(sK2,sP6_iProver_def)) = u1_struct_0(sK2)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_13123,c_1301]) ).
cnf(c_14604,plain,
( ~ l1_struct_0(sK3)
| u1_struct_0(k14_yellow_6(sK3,sP8_iProver_def)) = u1_struct_0(sK3)
| v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_13122,c_1301]) ).
cnf(c_14605,plain,
( ~ l1_struct_0(sK3)
| u1_struct_0(sP9_iProver_def) = sP3_iProver_def
| v3_struct_0(sK3) ),
inference(light_normalisation,[status(thm)],[c_14604,c_10553,c_10559]) ).
cnf(c_14606,plain,
u1_struct_0(sP9_iProver_def) = sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_14605,c_13065,c_12947]) ).
cnf(c_14607,plain,
( ~ l1_struct_0(sK2)
| u1_struct_0(sP7_iProver_def) = sP0_iProver_def
| v3_struct_0(sK2) ),
inference(light_normalisation,[status(thm)],[c_14603,c_10550,c_10557]) ).
cnf(c_14608,plain,
u1_struct_0(sP7_iProver_def) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_14607,c_13064,c_12948]) ).
cnf(c_14616,plain,
g1_pre_topc(sP3_iProver_def,u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_13889,c_14606]) ).
cnf(c_14617,plain,
g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_13893,c_14608]) ).
cnf(c_14841,plain,
( g1_orders_2(X0,X1) != sP2_iProver_def
| ~ m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def)
| X1 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_12972,c_146]) ).
cnf(c_14858,plain,
( g1_orders_2(X0,X1) != sP2_iProver_def
| X1 = sP4_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_14841,c_13467]) ).
cnf(c_14906,plain,
( g1_orders_2(X0,X1) != sP2_iProver_def
| ~ m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def)
| X0 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_12972,c_147]) ).
cnf(c_14923,plain,
( g1_orders_2(X0,X1) != sP2_iProver_def
| X0 = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_14906,c_13467]) ).
cnf(c_15103,plain,
sP1_iProver_def = sP4_iProver_def,
inference(superposition,[status(thm)],[c_10552,c_14858]) ).
cnf(c_15122,plain,
u1_orders_2(sK3) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_10554,c_15103]) ).
cnf(c_15185,plain,
sP0_iProver_def = sP3_iProver_def,
inference(superposition,[status(thm)],[c_10552,c_14923]) ).
cnf(c_15233,plain,
u1_struct_0(sK3) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_10553,c_15185]) ).
cnf(c_15583,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),sP1_iProver_def)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| r1_tarski(u1_pre_topc(k14_yellow_6(sK2,k3_waybel28(sK2))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(superposition,[status(thm)],[c_10551,c_150]) ).
cnf(c_15590,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),sP1_iProver_def)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK2,k3_waybel28(sK2)))) ),
inference(superposition,[status(thm)],[c_10551,c_150]) ).
cnf(c_15639,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(sP7_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_15590,c_10550,c_10552,c_10556,c_10557]) ).
cnf(c_15640,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(sP7_iProver_def)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15639,c_10560,c_10561,c_10562,c_10563,c_10564,c_10565,c_10566]) ).
cnf(c_15684,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(light_normalisation,[status(thm)],[c_15583,c_10550,c_10552,c_10556,c_10557]) ).
cnf(c_15685,plain,
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15684,c_10560,c_10561,c_10562,c_10563,c_10564,c_10565,c_10566]) ).
cnf(c_16381,plain,
g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_14616,c_15185]) ).
cnf(c_16450,plain,
( g1_orders_2(u1_struct_0(sK3),sP1_iProver_def) != sP2_iProver_def
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3)))) ),
inference(superposition,[status(thm)],[c_15122,c_15685]) ).
cnf(c_16451,plain,
( g1_orders_2(u1_struct_0(sK3),sP1_iProver_def) != sP2_iProver_def
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| r1_tarski(u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3))),u1_pre_topc(sP7_iProver_def)) ),
inference(superposition,[status(thm)],[c_15122,c_15640]) ).
cnf(c_16458,plain,
( sP2_iProver_def != sP2_iProver_def
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_16451,c_10552,c_10558,c_10559,c_15233]) ).
cnf(c_16459,plain,
( ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)) ),
inference(equality_resolution_simp,[status(thm)],[c_16458]) ).
cnf(c_16460,plain,
r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_16459,c_10567,c_10568,c_10569,c_10570,c_10571,c_10572,c_10573]) ).
cnf(c_16461,plain,
( sP2_iProver_def != sP2_iProver_def
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_16450,c_10552,c_10558,c_10559,c_15233]) ).
cnf(c_16462,plain,
( ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)) ),
inference(equality_resolution_simp,[status(thm)],[c_16461]) ).
cnf(c_16463,plain,
r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_16462,c_10567,c_10568,c_10569,c_10570,c_10571,c_10572,c_10573]) ).
cnf(c_16504,plain,
( ~ r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def))
| u1_pre_topc(sP7_iProver_def) = u1_pre_topc(sP9_iProver_def) ),
inference(superposition,[status(thm)],[c_16463,c_86]) ).
cnf(c_16505,plain,
u1_pre_topc(sP7_iProver_def) = u1_pre_topc(sP9_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_16504,c_16460]) ).
cnf(c_16508,plain,
g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP7_iProver_def)) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_16381,c_16505]) ).
cnf(c_16517,plain,
sP7_iProver_def = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_16508,c_14617]) ).
cnf(c_16518,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16517,c_10575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : TOP047+1 : TPTP v8.2.0. Released v3.4.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jun 18 12:01:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.06/1.18 % SZS status Started for theBenchmark.p
% 4.06/1.18 % SZS status Theorem for theBenchmark.p
% 4.06/1.18
% 4.06/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.06/1.18
% 4.06/1.18 ------ iProver source info
% 4.06/1.18
% 4.06/1.18 git: date: 2024-06-12 09:56:46 +0000
% 4.06/1.18 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.06/1.18 git: non_committed_changes: false
% 4.06/1.18
% 4.06/1.18 ------ Parsing...
% 4.06/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.06/1.18
% 4.06/1.18 ------ Preprocessing... sup_sim: 2 sf_s rm: 30 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e
% 4.06/1.18
% 4.06/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.06/1.18
% 4.06/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.06/1.18 ------ Proving...
% 4.06/1.18 ------ Problem Properties
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 clauses 130
% 4.06/1.18 conjectures 16
% 4.06/1.18 EPR 46
% 4.06/1.18 Horn 104
% 4.06/1.18 unary 54
% 4.06/1.18 binary 29
% 4.06/1.18 lits 292
% 4.06/1.18 lits eq 35
% 4.06/1.18 fd_pure 0
% 4.06/1.18 fd_pseudo 0
% 4.06/1.18 fd_cond 1
% 4.06/1.18 fd_pseudo_cond 9
% 4.06/1.18 AC symbols 0
% 4.06/1.18
% 4.06/1.18 ------ Schedule dynamic 5 is on
% 4.06/1.18
% 4.06/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 ------
% 4.06/1.18 Current options:
% 4.06/1.18 ------
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 ------ Proving...
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 % SZS status Theorem for theBenchmark.p
% 4.06/1.18
% 4.06/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.18
% 4.40/1.18
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