TSTP Solution File: SEU304+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU304+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : Thu Aug 31 17:05:38 EDT 2023
% Result : Theorem 23.31s 4.10s
% Output : CNFRefutation 23.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 105 ( 24 unt; 0 def)
% Number of atoms : 423 ( 74 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 534 ( 216 ~; 218 |; 73 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 185 ( 0 sgn; 84 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f58,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f87,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( meet_absorbing(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattices) ).
fof(f110,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> element(meet(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f141,axiom,
! [X0] :
( latt_str(X0)
=> ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f245,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f339,conjecture,
! [X0] :
( ( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
fof(f340,negated_conjecture,
~ ! [X0] :
( ( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(negated_conjecture,[],[f339]) ).
fof(f503,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f504,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f503]) ).
fof(f540,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f541,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f540]) ).
fof(f567,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f568,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f567]) ).
fof(f584,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f585,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f584]) ).
fof(f604,plain,
! [X0] :
( ( join_semilatt_str(X0)
& meet_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f680,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f245]) ).
fof(f681,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f680]) ).
fof(f812,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f340]) ).
fof(f813,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f812]) ).
fof(f1133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f541]) ).
fof(f1226,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f568]) ).
fof(f1227,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) )
| ~ element(X3,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f1226]) ).
fof(f1228,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
=> ( ? [X2] :
( join(X0,meet(X0,sK120(X0),X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(sK120(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1229,plain,
! [X0] :
( ? [X2] :
( join(X0,meet(X0,sK120(X0),X2),X2) != X2
& element(X2,the_carrier(X0)) )
=> ( sK121(X0) != join(X0,meet(X0,sK120(X0),sK121(X0)),sK121(X0))
& element(sK121(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1230,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ( sK121(X0) != join(X0,meet(X0,sK120(X0),sK121(X0)),sK121(X0))
& element(sK121(X0),the_carrier(X0))
& element(sK120(X0),the_carrier(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) )
| ~ element(X3,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK120,sK121])],[f1227,f1229,f1228]) ).
fof(f1650,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ below(sK334,meet_commut(sK334,X1,X2),X1)
& element(X2,the_carrier(sK334)) )
& element(X1,the_carrier(sK334)) )
& latt_str(sK334)
& meet_absorbing(sK334)
& meet_commutative(sK334)
& ~ empty_carrier(sK334) ) ),
introduced(choice_axiom,[]) ).
fof(f1651,plain,
( ? [X1] :
( ? [X2] :
( ~ below(sK334,meet_commut(sK334,X1,X2),X1)
& element(X2,the_carrier(sK334)) )
& element(X1,the_carrier(sK334)) )
=> ( ? [X2] :
( ~ below(sK334,meet_commut(sK334,sK335,X2),sK335)
& element(X2,the_carrier(sK334)) )
& element(sK335,the_carrier(sK334)) ) ),
introduced(choice_axiom,[]) ).
fof(f1652,plain,
( ? [X2] :
( ~ below(sK334,meet_commut(sK334,sK335,X2),sK335)
& element(X2,the_carrier(sK334)) )
=> ( ~ below(sK334,meet_commut(sK334,sK335,sK336),sK335)
& element(sK336,the_carrier(sK334)) ) ),
introduced(choice_axiom,[]) ).
fof(f1653,plain,
( ~ below(sK334,meet_commut(sK334,sK335,sK336),sK335)
& element(sK336,the_carrier(sK334))
& element(sK335,the_carrier(sK334))
& latt_str(sK334)
& meet_absorbing(sK334)
& meet_commutative(sK334)
& ~ empty_carrier(sK334) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK334,sK335,sK336])],[f813,f1652,f1651,f1650]) ).
fof(f1761,plain,
! [X2,X0,X1] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f504]) ).
fof(f1924,plain,
! [X2,X0,X1] :
( below(X0,X1,X2)
| join(X0,X1,X2) != X2
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1133]) ).
fof(f2051,plain,
! [X3,X0,X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1230]) ).
fof(f2082,plain,
! [X2,X0,X1] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f585]) ).
fof(f2100,plain,
! [X0] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f2101,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f2318,plain,
! [X2,X0,X1] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f681]) ).
fof(f2725,plain,
~ empty_carrier(sK334),
inference(cnf_transformation,[],[f1653]) ).
fof(f2726,plain,
meet_commutative(sK334),
inference(cnf_transformation,[],[f1653]) ).
fof(f2727,plain,
meet_absorbing(sK334),
inference(cnf_transformation,[],[f1653]) ).
fof(f2728,plain,
latt_str(sK334),
inference(cnf_transformation,[],[f1653]) ).
fof(f2729,plain,
element(sK335,the_carrier(sK334)),
inference(cnf_transformation,[],[f1653]) ).
fof(f2730,plain,
element(sK336,the_carrier(sK334)),
inference(cnf_transformation,[],[f1653]) ).
fof(f2731,plain,
~ below(sK334,meet_commut(sK334,sK335,sK336),sK335),
inference(cnf_transformation,[],[f1653]) ).
cnf(c_79,plain,
( ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1)
| meet_commut(X1,X0,X2) = meet_commut(X1,X2,X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1761]) ).
cnf(c_240,plain,
( join(X0,X1,X2) != X2
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ join_semilatt_str(X0)
| below(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1924]) ).
cnf(c_370,plain,
( ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_absorbing(X1)
| ~ latt_str(X1)
| join(X1,meet(X1,X2,X0),X0) = X0
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f2051]) ).
cnf(c_398,plain,
( ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| element(meet(X1,X0,X2),the_carrier(X1))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f2082]) ).
cnf(c_416,plain,
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f2101]) ).
cnf(c_417,plain,
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f2100]) ).
cnf(c_634,plain,
( ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1)
| meet_commut(X1,X0,X2) = meet(X1,X0,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f2318]) ).
cnf(c_1041,negated_conjecture,
~ below(sK334,meet_commut(sK334,sK335,sK336),sK335),
inference(cnf_transformation,[],[f2731]) ).
cnf(c_1042,negated_conjecture,
element(sK336,the_carrier(sK334)),
inference(cnf_transformation,[],[f2730]) ).
cnf(c_1043,negated_conjecture,
element(sK335,the_carrier(sK334)),
inference(cnf_transformation,[],[f2729]) ).
cnf(c_1044,negated_conjecture,
latt_str(sK334),
inference(cnf_transformation,[],[f2728]) ).
cnf(c_1045,negated_conjecture,
meet_absorbing(sK334),
inference(cnf_transformation,[],[f2727]) ).
cnf(c_1046,negated_conjecture,
meet_commutative(sK334),
inference(cnf_transformation,[],[f2726]) ).
cnf(c_1047,negated_conjecture,
~ empty_carrier(sK334),
inference(cnf_transformation,[],[f2725]) ).
cnf(c_2471,plain,
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_416]) ).
cnf(c_2472,plain,
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(renaming,[status(thm)],[c_2471]) ).
cnf(c_2519,plain,
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_417]) ).
cnf(c_18563,plain,
( X0 != sK334
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_634,c_1046]) ).
cnf(c_18564,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ meet_semilatt_str(sK334)
| meet_commut(sK334,X0,X1) = meet(sK334,X0,X1)
| empty_carrier(sK334) ),
inference(unflattening,[status(thm)],[c_18563]) ).
cnf(c_18566,plain,
( meet_commut(sK334,X0,X1) = meet(sK334,X0,X1)
| ~ meet_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) ),
inference(global_subsumption_just,[status(thm)],[c_18564,c_1047,c_18564]) ).
cnf(c_18567,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ meet_semilatt_str(sK334)
| meet_commut(sK334,X0,X1) = meet(sK334,X0,X1) ),
inference(renaming,[status(thm)],[c_18566]) ).
cnf(c_18599,plain,
( X0 != sK334
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_79,c_1046]) ).
cnf(c_18600,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ meet_semilatt_str(sK334)
| meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0)
| empty_carrier(sK334) ),
inference(unflattening,[status(thm)],[c_18599]) ).
cnf(c_18602,plain,
( meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0)
| ~ meet_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) ),
inference(global_subsumption_just,[status(thm)],[c_18600,c_1047,c_18600]) ).
cnf(c_18603,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ meet_semilatt_str(sK334)
| meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0) ),
inference(renaming,[status(thm)],[c_18602]) ).
cnf(c_18631,plain,
( join(X0,X1,X2) != X2
| meet_commut(sK334,sK335,sK336) != X1
| X0 != sK334
| X2 != sK335
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_240,c_1041]) ).
cnf(c_18632,plain,
( join(sK334,meet_commut(sK334,sK335,sK336),sK335) != sK335
| ~ element(meet_commut(sK334,sK335,sK336),the_carrier(sK334))
| ~ element(sK335,the_carrier(sK334))
| ~ join_semilatt_str(sK334)
| empty_carrier(sK334) ),
inference(unflattening,[status(thm)],[c_18631]) ).
cnf(c_18633,plain,
( ~ join_semilatt_str(sK334)
| join(sK334,meet_commut(sK334,sK335,sK336),sK335) != sK335
| ~ element(meet_commut(sK334,sK335,sK336),the_carrier(sK334)) ),
inference(global_subsumption_just,[status(thm)],[c_18632,c_1047,c_1043,c_18632]) ).
cnf(c_18634,plain,
( join(sK334,meet_commut(sK334,sK335,sK336),sK335) != sK335
| ~ element(meet_commut(sK334,sK335,sK336),the_carrier(sK334))
| ~ join_semilatt_str(sK334) ),
inference(renaming,[status(thm)],[c_18633]) ).
cnf(c_18989,plain,
( X0 != sK334
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ latt_str(X0)
| join(X0,meet(X0,X2,X1),X1) = X1
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_370,c_1045]) ).
cnf(c_18990,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ latt_str(sK334)
| join(sK334,meet(sK334,X1,X0),X0) = X0
| empty_carrier(sK334) ),
inference(unflattening,[status(thm)],[c_18989]) ).
cnf(c_18992,plain,
( join(sK334,meet(sK334,X1,X0),X0) = X0
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) ),
inference(global_subsumption_just,[status(thm)],[c_18990,c_1044,c_1047,c_18990]) ).
cnf(c_18993,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| join(sK334,meet(sK334,X1,X0),X0) = X0 ),
inference(renaming,[status(thm)],[c_18992]) ).
cnf(c_19187,plain,
( X0 != sK334
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ meet_absorbing(X0)
| join(X0,meet(X0,X2,X1),X1) = X1
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_370,c_1044]) ).
cnf(c_19188,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ meet_absorbing(sK334)
| join(sK334,meet(sK334,X1,X0),X0) = X0
| empty_carrier(sK334) ),
inference(unflattening,[status(thm)],[c_19187]) ).
cnf(c_19189,plain,
( join(sK334,meet(sK334,X1,X0),X0) = X0
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) ),
inference(global_subsumption_just,[status(thm)],[c_19188,c_18993]) ).
cnf(c_19190,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| join(sK334,meet(sK334,X1,X0),X0) = X0 ),
inference(renaming,[status(thm)],[c_19189]) ).
cnf(c_19243,plain,
( X0 != sK334
| meet_semilatt_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_2519,c_1044]) ).
cnf(c_19244,plain,
meet_semilatt_str(sK334),
inference(unflattening,[status(thm)],[c_19243]) ).
cnf(c_19248,plain,
( X0 != sK334
| join_semilatt_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_2472,c_1044]) ).
cnf(c_19249,plain,
join_semilatt_str(sK334),
inference(unflattening,[status(thm)],[c_19248]) ).
cnf(c_19279,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| meet_commut(sK334,X0,X1) = meet(sK334,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_18567,c_19244]) ).
cnf(c_19280,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_18603,c_19244]) ).
cnf(c_19554,plain,
( X0 != sK334
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_398,c_19244]) ).
cnf(c_19555,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| element(meet(sK334,X0,X1),the_carrier(sK334))
| empty_carrier(sK334) ),
inference(unflattening,[status(thm)],[c_19554]) ).
cnf(c_19557,plain,
( element(meet(sK334,X0,X1),the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) ),
inference(global_subsumption_just,[status(thm)],[c_19555,c_1047,c_19555]) ).
cnf(c_19558,plain,
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| element(meet(sK334,X0,X1),the_carrier(sK334)) ),
inference(renaming,[status(thm)],[c_19557]) ).
cnf(c_138050,plain,
( ~ element(X0,the_carrier(sK334))
| join(sK334,meet(sK334,sK336,X0),X0) = X0 ),
inference(superposition,[status(thm)],[c_1042,c_19190]) ).
cnf(c_138063,plain,
join(sK334,meet(sK334,sK336,sK335),sK335) = sK335,
inference(superposition,[status(thm)],[c_1043,c_138050]) ).
cnf(c_138152,plain,
( ~ element(X0,the_carrier(sK334))
| meet_commut(sK334,X0,sK336) = meet(sK334,X0,sK336) ),
inference(superposition,[status(thm)],[c_1042,c_19279]) ).
cnf(c_138153,plain,
( ~ element(X0,the_carrier(sK334))
| meet_commut(sK334,X0,sK335) = meet(sK334,X0,sK335) ),
inference(superposition,[status(thm)],[c_1043,c_19279]) ).
cnf(c_138183,plain,
meet_commut(sK334,sK335,sK336) = meet(sK334,sK335,sK336),
inference(superposition,[status(thm)],[c_1043,c_138152]) ).
cnf(c_138220,plain,
( ~ element(sK335,the_carrier(sK334))
| ~ element(sK336,the_carrier(sK334))
| element(meet_commut(sK334,sK335,sK336),the_carrier(sK334)) ),
inference(superposition,[status(thm)],[c_138183,c_19558]) ).
cnf(c_138221,plain,
element(meet_commut(sK334,sK335,sK336),the_carrier(sK334)),
inference(forward_subsumption_resolution,[status(thm)],[c_138220,c_1042,c_1043]) ).
cnf(c_138237,plain,
meet_commut(sK334,sK336,sK335) = meet(sK334,sK336,sK335),
inference(superposition,[status(thm)],[c_1042,c_138153]) ).
cnf(c_138253,plain,
join(sK334,meet_commut(sK334,sK336,sK335),sK335) = sK335,
inference(demodulation,[status(thm)],[c_138063,c_138237]) ).
cnf(c_138598,plain,
( ~ element(X0,the_carrier(sK334))
| meet_commut(sK334,X0,sK336) = meet_commut(sK334,sK336,X0) ),
inference(superposition,[status(thm)],[c_1042,c_19280]) ).
cnf(c_138677,plain,
meet_commut(sK334,sK335,sK336) = meet_commut(sK334,sK336,sK335),
inference(superposition,[status(thm)],[c_1043,c_138598]) ).
cnf(c_138711,plain,
join(sK334,meet_commut(sK334,sK335,sK336),sK335) = sK335,
inference(demodulation,[status(thm)],[c_138253,c_138677]) ).
cnf(c_138723,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_138711,c_138221,c_19249,c_18634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU304+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 23 19:34:25 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.31/4.10 % SZS status Started for theBenchmark.p
% 23.31/4.10 % SZS status Theorem for theBenchmark.p
% 23.31/4.10
% 23.31/4.10 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.31/4.10
% 23.31/4.10 ------ iProver source info
% 23.31/4.10
% 23.31/4.10 git: date: 2023-05-31 18:12:56 +0000
% 23.31/4.10 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.31/4.10 git: non_committed_changes: false
% 23.31/4.10 git: last_make_outside_of_git: false
% 23.31/4.10
% 23.31/4.10 ------ Parsing...
% 23.31/4.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.31/4.10
% 23.31/4.10 ------ Preprocessing... sup_sim: 95 sf_s rm: 21 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e
% 23.31/4.10
% 23.31/4.10 ------ Preprocessing... gs_s sp: 15 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.31/4.10
% 23.31/4.10 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 23.31/4.10 ------ Proving...
% 23.31/4.10 ------ Problem Properties
% 23.31/4.10
% 23.31/4.10
% 23.31/4.10 clauses 1109
% 23.31/4.10 conjectures 4
% 23.31/4.10 EPR 173
% 23.31/4.10 Horn 820
% 23.31/4.10 unary 161
% 23.31/4.10 binary 334
% 23.31/4.10 lits 3272
% 23.31/4.10 lits eq 478
% 23.31/4.10 fd_pure 0
% 23.31/4.10 fd_pseudo 0
% 23.31/4.10 fd_cond 44
% 23.31/4.10 fd_pseudo_cond 115
% 23.31/4.10 AC symbols 0
% 23.31/4.10
% 23.31/4.10 ------ Schedule dynamic 5 is on
% 23.31/4.10
% 23.31/4.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 23.31/4.10
% 23.31/4.10
% 23.31/4.10 ------
% 23.31/4.10 Current options:
% 23.31/4.10 ------
% 23.31/4.10
% 23.31/4.10
% 23.31/4.10
% 23.31/4.10
% 23.31/4.10 ------ Proving...
% 23.31/4.10
% 23.31/4.10
% 23.31/4.10 % SZS status Theorem for theBenchmark.p
% 23.31/4.10
% 23.31/4.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.31/4.11
% 23.31/4.11
%------------------------------------------------------------------------------