TSTP Solution File: TOP047+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:41:05 EDT 2024
% Result : Theorem 7.80s 1.64s
% Output : CNFRefutation 7.80s
% 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f23,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f36,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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_2268,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_2269,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_2268]) ).
cnf(c_5895,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_2269]) ).
cnf(c_10538,plain,
u1_struct_0(sK2) = sP0_iProver_def,
definition ).
cnf(c_10539,plain,
u1_orders_2(sK2) = sP1_iProver_def,
definition ).
cnf(c_10540,plain,
g1_orders_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_10541,plain,
u1_struct_0(sK3) = sP3_iProver_def,
definition ).
cnf(c_10542,plain,
u1_orders_2(sK3) = sP4_iProver_def,
definition ).
cnf(c_10543,plain,
g1_orders_2(sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_10544,plain,
k3_waybel28(sK2) = sP6_iProver_def,
definition ).
cnf(c_10545,plain,
k14_yellow_6(sK2,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_10546,plain,
k3_waybel28(sK3) = sP8_iProver_def,
definition ).
cnf(c_10547,plain,
k14_yellow_6(sK3,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_10548,negated_conjecture,
v2_orders_2(sK2),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_10549,negated_conjecture,
v3_orders_2(sK2),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_10550,negated_conjecture,
v4_orders_2(sK2),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_10551,negated_conjecture,
v24_waybel_0(sK2),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_10552,negated_conjecture,
v25_waybel_0(sK2),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_10553,negated_conjecture,
v2_lattice3(sK2),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_10554,negated_conjecture,
l1_orders_2(sK2),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_10555,negated_conjecture,
v2_orders_2(sK3),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_10556,negated_conjecture,
v3_orders_2(sK3),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_10557,negated_conjecture,
v4_orders_2(sK3),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_10558,negated_conjecture,
v24_waybel_0(sK3),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_10559,negated_conjecture,
v25_waybel_0(sK3),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_10560,negated_conjecture,
v2_lattice3(sK3),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_10561,negated_conjecture,
l1_orders_2(sK3),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_10562,negated_conjecture,
sP2_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_10542,c_10541,c_10543,c_10539,c_10538,c_10540]) ).
cnf(c_10563,negated_conjecture,
sP7_iProver_def != sP9_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_10546,c_10547,c_10544,c_10545]) ).
cnf(c_12935,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_10561,c_99]) ).
cnf(c_12936,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_10554,c_99]) ).
cnf(c_12960,plain,
g1_orders_2(sP3_iProver_def,sP4_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_10543,c_10562]) ).
cnf(c_13046,plain,
( ~ v2_lattice3(sK3)
| ~ v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_10561,c_76]) ).
cnf(c_13047,plain,
( ~ v2_lattice3(sK2)
| ~ v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_10554,c_76]) ).
cnf(c_13052,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13047,c_10553]) ).
cnf(c_13053,plain,
~ v3_struct_0(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13046,c_10560]) ).
cnf(c_13108,plain,
( ~ l1_orders_2(sK2)
| m4_yellow_6(sP6_iProver_def,sK2)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_10544,c_98]) ).
cnf(c_13109,plain,
( ~ l1_orders_2(sK3)
| m4_yellow_6(sP8_iProver_def,sK3)
| v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_10546,c_98]) ).
cnf(c_13110,plain,
m4_yellow_6(sP8_iProver_def,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13109,c_13053,c_10561]) ).
cnf(c_13111,plain,
m4_yellow_6(sP6_iProver_def,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13108,c_13052,c_10554]) ).
cnf(c_13451,plain,
( ~ l1_orders_2(sK3)
| m1_relset_1(u1_orders_2(sK3),sP3_iProver_def,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_10541,c_5895]) ).
cnf(c_13454,plain,
( ~ l1_orders_2(sK3)
| m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_13451,c_10542]) ).
cnf(c_13455,plain,
m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13454,c_10561]) ).
cnf(c_13738,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_10545,c_96]) ).
cnf(c_13739,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_10547,c_96]) ).
cnf(c_13742,plain,
l1_pre_topc(sP9_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13739,c_13053,c_12935,c_13110]) ).
cnf(c_13743,plain,
l1_pre_topc(sP7_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13738,c_13052,c_12936,c_13111]) ).
cnf(c_13812,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_10545,c_123]) ).
cnf(c_13813,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_10547,c_123]) ).
cnf(c_13814,plain,
v1_pre_topc(sP9_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13813,c_13053,c_12935,c_13110]) ).
cnf(c_13815,plain,
v1_pre_topc(sP7_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13812,c_13052,c_12936,c_13111]) ).
cnf(c_13884,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_13814,c_66]) ).
cnf(c_13885,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_13884,c_13742]) ).
cnf(c_13888,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_13815,c_66]) ).
cnf(c_13889,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_13888,c_13743]) ).
cnf(c_14599,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_13111,c_1301]) ).
cnf(c_14600,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_13110,c_1301]) ).
cnf(c_14601,plain,
( ~ l1_struct_0(sK3)
| u1_struct_0(sP9_iProver_def) = sP3_iProver_def
| v3_struct_0(sK3) ),
inference(light_normalisation,[status(thm)],[c_14600,c_10541,c_10547]) ).
cnf(c_14602,plain,
u1_struct_0(sP9_iProver_def) = sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_14601,c_13053,c_12935]) ).
cnf(c_14603,plain,
( ~ l1_struct_0(sK2)
| u1_struct_0(sP7_iProver_def) = sP0_iProver_def
| v3_struct_0(sK2) ),
inference(light_normalisation,[status(thm)],[c_14599,c_10538,c_10545]) ).
cnf(c_14604,plain,
u1_struct_0(sP7_iProver_def) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_14603,c_13052,c_12936]) ).
cnf(c_14612,plain,
g1_pre_topc(sP3_iProver_def,u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_13885,c_14602]) ).
cnf(c_14613,plain,
g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_13889,c_14604]) ).
cnf(c_14837,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_12960,c_146]) ).
cnf(c_14854,plain,
( g1_orders_2(X0,X1) != sP2_iProver_def
| X1 = sP4_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_14837,c_13455]) ).
cnf(c_14902,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_12960,c_147]) ).
cnf(c_14919,plain,
( g1_orders_2(X0,X1) != sP2_iProver_def
| X0 = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_14902,c_13455]) ).
cnf(c_15112,plain,
sP1_iProver_def = sP4_iProver_def,
inference(superposition,[status(thm)],[c_10540,c_14854]) ).
cnf(c_15131,plain,
u1_orders_2(sK3) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_10542,c_15112]) ).
cnf(c_15181,plain,
sP0_iProver_def = sP3_iProver_def,
inference(superposition,[status(thm)],[c_10540,c_14919]) ).
cnf(c_15229,plain,
u1_struct_0(sK3) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_10541,c_15181]) ).
cnf(c_15579,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_10539,c_150]) ).
cnf(c_15586,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_10539,c_150]) ).
cnf(c_15635,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_15586,c_10538,c_10540,c_10544,c_10545]) ).
cnf(c_15636,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_15635,c_10548,c_10549,c_10550,c_10551,c_10552,c_10553,c_10554]) ).
cnf(c_15680,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_15579,c_10538,c_10540,c_10544,c_10545]) ).
cnf(c_15681,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_15680,c_10548,c_10549,c_10550,c_10551,c_10552,c_10553,c_10554]) ).
cnf(c_16394,plain,
g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_14612,c_15181]) ).
cnf(c_16460,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_15131,c_15681]) ).
cnf(c_16461,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_15131,c_15636]) ).
cnf(c_16468,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_16461,c_10540,c_10546,c_10547,c_15229]) ).
cnf(c_16469,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_16468]) ).
cnf(c_16470,plain,
r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_16469,c_10555,c_10556,c_10557,c_10558,c_10559,c_10560,c_10561]) ).
cnf(c_16471,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_16460,c_10540,c_10546,c_10547,c_15229]) ).
cnf(c_16472,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_16471]) ).
cnf(c_16473,plain,
r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_16472,c_10555,c_10556,c_10557,c_10558,c_10559,c_10560,c_10561]) ).
cnf(c_16524,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_16473,c_86]) ).
cnf(c_16525,plain,
u1_pre_topc(sP7_iProver_def) = u1_pre_topc(sP9_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_16524,c_16470]) ).
cnf(c_16528,plain,
g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP7_iProver_def)) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_16394,c_16525]) ).
cnf(c_16537,plain,
sP7_iProver_def = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_16528,c_14613]) ).
cnf(c_16538,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16537,c_10563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:34:06 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.80/1.64 % SZS status Started for theBenchmark.p
% 7.80/1.64 % SZS status Theorem for theBenchmark.p
% 7.80/1.64
% 7.80/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.80/1.64
% 7.80/1.64 ------ iProver source info
% 7.80/1.64
% 7.80/1.64 git: date: 2024-05-02 19:28:25 +0000
% 7.80/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.80/1.64 git: non_committed_changes: false
% 7.80/1.64
% 7.80/1.64 ------ Parsing...
% 7.80/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.80/1.64
% 7.80/1.64 ------ 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
% 7.80/1.64
% 7.80/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.80/1.64
% 7.80/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.80/1.64 ------ Proving...
% 7.80/1.64 ------ Problem Properties
% 7.80/1.64
% 7.80/1.64
% 7.80/1.64 clauses 130
% 7.80/1.64 conjectures 16
% 7.80/1.64 EPR 46
% 7.80/1.64 Horn 104
% 7.80/1.64 unary 54
% 7.80/1.64 binary 29
% 7.80/1.64 lits 292
% 7.80/1.64 lits eq 35
% 7.80/1.64 fd_pure 0
% 7.80/1.64 fd_pseudo 0
% 7.80/1.64 fd_cond 1
% 7.80/1.64 fd_pseudo_cond 9
% 7.80/1.64 AC symbols 0
% 7.80/1.64
% 7.80/1.64 ------ Schedule dynamic 5 is on
% 7.80/1.64
% 7.80/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.80/1.64
% 7.80/1.64
% 7.80/1.64 ------
% 7.80/1.64 Current options:
% 7.80/1.64 ------
% 7.80/1.64
% 7.80/1.64
% 7.80/1.64
% 7.80/1.64
% 7.80/1.64 ------ Proving...
% 7.80/1.64
% 7.80/1.64
% 7.80/1.64 % SZS status Theorem for theBenchmark.p
% 7.80/1.64
% 7.80/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.80/1.64
% 7.80/1.64
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