TSTP Solution File: GRP618+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:23:05 EDT 2024
% Result : Theorem 0.42s 1.12s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f61,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f62,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v1_group_3(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f72]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f129,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(rectify,[],[f129]) ).
fof(f131,plain,
( ? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ( ~ v1_group_3(X1,sK0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) ) )
& ( v1_group_3(X1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(X1,sK0) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X1] :
( ( ~ v1_group_3(X1,sK0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) ) )
& ( v1_group_3(X1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(X1,sK0) )
=> ( ( ~ v1_group_3(sK1,sK0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) ) )
& ( v1_group_3(sK1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,sK2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,sK2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ( ~ v1_group_3(sK1,sK0)
| ( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0)) ) )
& ( v1_group_3(sK1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(sK1,sK0)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f130,f134,f133,f132,f131]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK25(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(sK25(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0,X1] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK25(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK26(X0,X1),sK25(X0,X1)))
& m1_subset_1(sK26(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK26(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK26(X0,X1),sK25(X0,X1)))
& m1_subset_1(sK26(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK26(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK25(X0,X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f125,f180,f179]) ).
fof(f182,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f183,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f184,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f185,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f186,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f187,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f188,plain,
! [X4,X5] :
( v1_group_3(sK1,sK0)
| r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f189,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f190,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f191,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f192,plain,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f288,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK25(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f289,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK26(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f290,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK26(X0,X1),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f291,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ r1_rlvect_1(X1,k2_group_3(X0,sK26(X0,X1),sK25(X0,X1)))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_49,negated_conjecture,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| ~ v1_group_3(sK1,sK0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_50,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_51,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_52,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_53,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,X0,X1))
| v1_group_3(sK1,sK0) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_54,negated_conjecture,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f187]) ).
cnf(c_55,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f186]) ).
cnf(c_56,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f185]) ).
cnf(c_57,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f184]) ).
cnf(c_58,negated_conjecture,
v1_group_1(sK0),
inference(cnf_transformation,[],[f183]) ).
cnf(c_59,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f182]) ).
cnf(c_147,plain,
( ~ r1_rlvect_1(X0,k2_group_3(X1,sK26(X1,X0),sK25(X1,X0)))
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v1_group_3(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_148,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m1_subset_1(sK26(X1,X0),u1_struct_0(X0))
| v1_group_3(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_149,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m1_subset_1(sK26(X1,X0),u1_struct_0(X1))
| v1_group_3(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_150,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m1_subset_1(sK25(X1,X0),u1_struct_0(X1))
| v1_group_3(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_151,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ v1_group_3(X3,X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| r1_rlvect_1(X3,k2_group_3(X1,X2,X0))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_2724,plain,
( X0 != sK1
| X1 != sK0
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_3(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| r1_rlvect_1(X0,k2_group_3(X1,X3,X2))
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_54,c_151]) ).
cnf(c_2725,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2724]) ).
cnf(c_2726,plain,
( r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_2725,c_58,c_57,c_56,c_55,c_59,c_2725]) ).
cnf(c_2727,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0)) ),
inference(renaming,[status(thm)],[c_2726]) ).
cnf(c_2738,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2727,c_53]) ).
cnf(c_8620,plain,
u1_struct_0(sK0) = sP0_iProver_def,
definition ).
cnf(c_8621,plain,
u1_struct_0(sK1) = sP1_iProver_def,
definition ).
cnf(c_8622,plain,
k2_group_3(sK0,sK3,sK2) = sP2_iProver_def,
definition ).
cnf(c_8623,negated_conjecture,
~ v3_struct_0(sK0),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_8624,negated_conjecture,
v1_group_1(sK0),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_8625,negated_conjecture,
v3_group_1(sK0),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_8626,negated_conjecture,
v4_group_1(sK0),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_8627,negated_conjecture,
l1_group_1(sK0),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_8628,negated_conjecture,
m1_group_2(sK1,sK0),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_8629,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_52,c_8620]) ).
cnf(c_8630,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_8631,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_50,c_8621]) ).
cnf(c_8632,negated_conjecture,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_49,c_8622]) ).
cnf(c_9882,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ m1_subset_1(X1,sP0_iProver_def)
| ~ m1_subset_1(X1,sP1_iProver_def)
| r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0)) ),
inference(light_normalisation,[status(thm)],[c_2738,c_8620,c_8621]) ).
cnf(c_9924,plain,
( ~ m1_subset_1(sK3,sP0_iProver_def)
| ~ m1_subset_1(sK3,sP1_iProver_def)
| ~ m1_subset_1(sK2,sP0_iProver_def)
| r1_rlvect_1(sK1,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8622,c_9882]) ).
cnf(c_10799,plain,
( ~ m1_group_2(sK1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_subset_1(sK26(X0,sK1),sP1_iProver_def)
| v1_group_3(sK1,X0)
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_8621,c_148]) ).
cnf(c_10828,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_subset_1(sK26(sK0,sK1),sP1_iProver_def)
| v1_group_3(sK1,sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_10799]) ).
cnf(c_10847,plain,
( ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_subset_1(sK26(sK0,X0),sP0_iProver_def)
| v1_group_3(X0,sK0)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_8620,c_149]) ).
cnf(c_10849,plain,
( ~ m1_group_2(X0,sK0)
| m1_subset_1(sK26(sK0,X0),sP0_iProver_def)
| v1_group_3(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10847,c_8623,c_8624,c_8625,c_8626,c_8627]) ).
cnf(c_10886,plain,
( ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_subset_1(sK25(sK0,X0),sP0_iProver_def)
| v1_group_3(X0,sK0)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_8620,c_150]) ).
cnf(c_10888,plain,
( ~ m1_group_2(X0,sK0)
| m1_subset_1(sK25(sK0,X0),sP0_iProver_def)
| v1_group_3(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10886,c_8623,c_8624,c_8625,c_8626,c_8627]) ).
cnf(c_11134,plain,
( ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def)
| ~ m1_subset_1(sK26(sK0,sK1),sP1_iProver_def)
| ~ m1_subset_1(sK25(sK0,sK1),sP0_iProver_def)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v1_group_3(sK1,sK0)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_9882,c_147]) ).
cnf(c_11135,plain,
( ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def)
| ~ m1_subset_1(sK26(sK0,sK1),sP1_iProver_def)
| ~ m1_subset_1(sK25(sK0,sK1),sP0_iProver_def)
| v1_group_3(sK1,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11134,c_8623,c_8624,c_8625,c_8626,c_8627,c_8628]) ).
cnf(c_11213,plain,
( ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def)
| ~ m1_subset_1(sK25(sK0,sK1),sP0_iProver_def)
| v1_group_3(sK1,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_11135,c_58,c_57,c_56,c_55,c_59,c_54,c_8629,c_8630,c_8631,c_8632,c_9924,c_10828,c_11135]) ).
cnf(c_11215,plain,
( ~ m1_subset_1(sK25(sK0,sK1),sP0_iProver_def)
| ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_11213,c_8629,c_8630,c_8631,c_8632,c_9924,c_11213]) ).
cnf(c_11216,plain,
( ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def)
| ~ m1_subset_1(sK25(sK0,sK1),sP0_iProver_def) ),
inference(renaming,[status(thm)],[c_11215]) ).
cnf(c_11221,plain,
( ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def)
| ~ m1_group_2(sK1,sK0)
| v1_group_3(sK1,sK0) ),
inference(superposition,[status(thm)],[c_10888,c_11216]) ).
cnf(c_11222,plain,
( ~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def)
| v1_group_3(sK1,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11221,c_8628]) ).
cnf(c_11225,plain,
~ m1_subset_1(sK26(sK0,sK1),sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_11222,c_8629,c_8630,c_8631,c_8632,c_9924,c_11222]) ).
cnf(c_11227,plain,
( ~ m1_group_2(sK1,sK0)
| v1_group_3(sK1,sK0) ),
inference(superposition,[status(thm)],[c_10849,c_11225]) ).
cnf(c_11228,plain,
v1_group_3(sK1,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_11227,c_8628]) ).
cnf(c_11229,plain,
~ r1_rlvect_1(sK1,sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_8632,c_11228]) ).
cnf(c_11230,plain,
m1_subset_1(sK3,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_8631,c_11228]) ).
cnf(c_11231,plain,
m1_subset_1(sK3,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_8630,c_11228]) ).
cnf(c_11232,plain,
m1_subset_1(sK2,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_8629,c_11228]) ).
cnf(c_11233,plain,
( ~ m1_subset_1(sK3,sP0_iProver_def)
| ~ m1_subset_1(sK3,sP1_iProver_def)
| ~ m1_subset_1(sK2,sP0_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9924,c_11229]) ).
cnf(c_11237,plain,
( ~ m1_subset_1(sK3,sP0_iProver_def)
| ~ m1_subset_1(sK2,sP0_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11233,c_11230]) ).
cnf(c_11240,plain,
~ m1_subset_1(sK2,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_11237,c_11231]) ).
cnf(c_11241,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11232,c_11240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:42:20 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.42/1.12 % SZS status Started for theBenchmark.p
% 0.42/1.12 % SZS status Theorem for theBenchmark.p
% 0.42/1.12
% 0.42/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.12
% 0.42/1.12 ------ iProver source info
% 0.42/1.12
% 0.42/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.12 git: non_committed_changes: false
% 0.42/1.12
% 0.42/1.12 ------ Parsing...
% 0.42/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.42/1.12 ------ Proving...
% 0.42/1.12 ------ Problem Properties
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 clauses 90
% 0.42/1.12 conjectures 10
% 0.42/1.12 EPR 37
% 0.42/1.12 Horn 66
% 0.42/1.12 unary 37
% 0.42/1.12 binary 17
% 0.42/1.12 lits 245
% 0.42/1.12 lits eq 14
% 0.42/1.12 fd_pure 0
% 0.42/1.12 fd_pseudo 0
% 0.42/1.12 fd_cond 1
% 0.42/1.12 fd_pseudo_cond 5
% 0.42/1.12 AC symbols 0
% 0.42/1.12
% 0.42/1.12 ------ Schedule dynamic 5 is on
% 0.42/1.12
% 0.42/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------
% 0.42/1.12 Current options:
% 0.42/1.12 ------
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------ Proving...
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 % SZS status Theorem for theBenchmark.p
% 0.42/1.12
% 0.42/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.12
% 0.42/1.12
%------------------------------------------------------------------------------