TSTP Solution File: LAT319+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT319+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : 600s
% DateTime : Sun Jul 17 04:29:31 EDT 2022
% Result : Theorem 45.58s 11.83s
% Output : CNFRefutation 45.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 14 unt; 0 def)
% Number of atoms : 591 ( 0 equ)
% Maximal formula atoms : 70 ( 7 avg)
% Number of connectives : 803 ( 293 ~; 348 |; 136 &)
% ( 9 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t54_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(t53_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc6_lattice2) ).
fof(t65_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t65_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t64_lattice2) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t63_lattice2) ).
fof(cc3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v15_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc3_lattices) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).
fof(c_0_11,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
introduced(definition) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t54_filter_2]) ).
fof(c_0_13,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[t53_filter_2,c_0_11]) ).
fof(c_0_14,plain,
! [X74] :
( ( ~ v3_struct_0(X74)
| v3_struct_0(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74) )
& ( v11_lattices(X74)
| v3_struct_0(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74) )
& ( v13_lattices(X74)
| v3_struct_0(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74) )
& ( v14_lattices(X74)
| v3_struct_0(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74) )
& ( v15_lattices(X74)
| v3_struct_0(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74) )
& ( v16_lattices(X74)
| v3_struct_0(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc5_lattices])])])]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_16,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X73] :
( v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| epred1_1(X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])]) ).
fof(c_0_18,plain,
! [X25] :
( ( ~ v3_struct_0(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v3_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v4_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v5_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v6_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v7_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v8_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v9_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) )
& ( v10_lattices(k1_lattice2(X25))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).
fof(c_0_19,plain,
! [X51] :
( ( ~ v3_struct_0(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ v11_lattices(X51)
| ~ l3_lattices(X51)
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( v10_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ v11_lattices(X51)
| ~ l3_lattices(X51)
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( v11_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ v11_lattices(X51)
| ~ l3_lattices(X51)
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( l3_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ v11_lattices(X51)
| ~ l3_lattices(X51)
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( ~ v3_struct_0(X51)
| v3_struct_0(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ l3_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( v10_lattices(X51)
| v3_struct_0(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ l3_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( v11_lattices(X51)
| v3_struct_0(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ l3_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) )
& ( l3_lattices(X51)
| v3_struct_0(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ l3_lattices(k1_lattice2(X51))
| v3_struct_0(X51)
| ~ v10_lattices(X51)
| ~ l3_lattices(X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t65_lattice2])])])]) ).
fof(c_0_20,plain,
! [X54] :
( ( v3_lattices(k1_lattice2(X54))
| ~ l3_lattices(X54) )
& ( l3_lattices(k1_lattice2(X54))
| ~ l3_lattices(X54) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_21,plain,
! [X24] :
( ( ~ v3_struct_0(k1_lattice2(X24))
| v3_struct_0(X24)
| ~ l3_lattices(X24) )
& ( v3_lattices(k1_lattice2(X24))
| v3_struct_0(X24)
| ~ l3_lattices(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).
fof(c_0_22,plain,
! [X50] :
( ( ~ v14_lattices(X50)
| v13_lattices(k1_lattice2(X50))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( ~ v13_lattices(k1_lattice2(X50))
| v14_lattices(X50)
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t64_lattice2])])])]) ).
cnf(c_0_23,plain,
( v13_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_27,plain,
! [X49] :
( ( ~ v13_lattices(X49)
| v14_lattices(k1_lattice2(X49))
| v3_struct_0(X49)
| ~ v10_lattices(X49)
| ~ l3_lattices(X49) )
& ( ~ v14_lattices(k1_lattice2(X49))
| v13_lattices(X49)
| v3_struct_0(X49)
| ~ v10_lattices(X49)
| ~ l3_lattices(X49) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t63_lattice2])])])]) ).
cnf(c_0_28,plain,
( v14_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_29,plain,
! [X6795] :
( ( ~ v3_struct_0(k1_lattice2(X6795))
| v3_struct_0(X6795)
| ~ v10_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ l3_lattices(X6795)
| ~ epred1_1(X6795) )
& ( v10_lattices(k1_lattice2(X6795))
| v3_struct_0(X6795)
| ~ v10_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ l3_lattices(X6795)
| ~ epred1_1(X6795) )
& ( v15_lattices(k1_lattice2(X6795))
| v3_struct_0(X6795)
| ~ v10_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ l3_lattices(X6795)
| ~ epred1_1(X6795) )
& ( v16_lattices(k1_lattice2(X6795))
| v3_struct_0(X6795)
| ~ v10_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ l3_lattices(X6795)
| ~ epred1_1(X6795) )
& ( l3_lattices(k1_lattice2(X6795))
| v3_struct_0(X6795)
| ~ v10_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ l3_lattices(X6795)
| ~ epred1_1(X6795) )
& ( ~ v3_struct_0(X6795)
| v3_struct_0(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ l3_lattices(k1_lattice2(X6795))
| ~ epred1_1(X6795) )
& ( v10_lattices(X6795)
| v3_struct_0(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ l3_lattices(k1_lattice2(X6795))
| ~ epred1_1(X6795) )
& ( v15_lattices(X6795)
| v3_struct_0(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ l3_lattices(k1_lattice2(X6795))
| ~ epred1_1(X6795) )
& ( v16_lattices(X6795)
| v3_struct_0(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ l3_lattices(k1_lattice2(X6795))
| ~ epred1_1(X6795) )
& ( l3_lattices(X6795)
| v3_struct_0(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ l3_lattices(k1_lattice2(X6795))
| ~ epred1_1(X6795) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_30,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( v11_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_41,plain,
! [X1474] :
( ( ~ v3_struct_0(X1474)
| v3_struct_0(X1474)
| ~ v13_lattices(X1474)
| ~ v14_lattices(X1474)
| ~ l3_lattices(X1474) )
& ( v15_lattices(X1474)
| v3_struct_0(X1474)
| ~ v13_lattices(X1474)
| ~ v14_lattices(X1474)
| ~ l3_lattices(X1474) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc3_lattices])])])]) ).
cnf(c_0_42,plain,
( v14_lattices(X1)
| v3_struct_0(X1)
| ~ v13_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,negated_conjecture,
( v17_lattices(esk1_0)
| v13_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_44,plain,
( v13_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( v17_lattices(esk1_0)
| v14_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_25]),c_0_26]) ).
fof(c_0_46,plain,
! [X75] :
( ( ~ v3_struct_0(X75)
| v3_struct_0(X75)
| ~ v11_lattices(X75)
| ~ v15_lattices(X75)
| ~ v16_lattices(X75)
| ~ l3_lattices(X75) )
& ( v17_lattices(X75)
| v3_struct_0(X75)
| ~ v11_lattices(X75)
| ~ v15_lattices(X75)
| ~ v16_lattices(X75)
| ~ l3_lattices(X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc6_lattices])])])]) ).
cnf(c_0_47,plain,
( v16_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( v17_lattices(esk1_0)
| v16_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_49,negated_conjecture,
epred1_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_50,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_51,negated_conjecture,
( v17_lattices(esk1_0)
| v15_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_52,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_37,c_0_38]),c_0_35]),c_0_39]) ).
cnf(c_0_53,negated_conjecture,
( v17_lattices(esk1_0)
| v11_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_54,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,negated_conjecture,
( v17_lattices(esk1_0)
| v14_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_56,negated_conjecture,
( v17_lattices(esk1_0)
| v13_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_57,plain,
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( v17_lattices(esk1_0)
| v16_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]),c_0_25]),c_0_51]),c_0_26]) ).
cnf(c_0_59,negated_conjecture,
( v17_lattices(esk1_0)
| v11_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_60,negated_conjecture,
( v17_lattices(esk1_0)
| v15_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_33])]),c_0_34]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_62,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_63,negated_conjecture,
v17_lattices(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_33])]),c_0_34]),c_0_59]),c_0_60]) ).
cnf(c_0_64,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_65,plain,
( v11_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_66,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_33]),c_0_32])]),c_0_34]) ).
cnf(c_0_67,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[c_0_62,c_0_31]) ).
cnf(c_0_68,negated_conjecture,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_63]),c_0_33])]),c_0_34]) ).
cnf(c_0_69,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_63]),c_0_33])]),c_0_34]) ).
cnf(c_0_70,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[c_0_64,c_0_31]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1) ),
inference(cn,[status(thm)],[c_0_65]) ).
cnf(c_0_72,negated_conjecture,
v11_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_63]),c_0_33])]),c_0_34]) ).
cnf(c_0_73,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_50])]) ).
cnf(c_0_74,negated_conjecture,
v16_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_75,plain,
v15_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_76,negated_conjecture,
v11_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_77,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_63])]) ).
cnf(c_0_78,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_74]),c_0_75]),c_0_76])]),c_0_77]) ).
cnf(c_0_79,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38]),c_0_33])]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_79]),c_0_33])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT319+2 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Wed Jun 29 10:28:15 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.37 # ENIGMATIC: Selected SinE mode:
% 0.14/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.14/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.14/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 45.58/11.83 # ENIGMATIC: Solved by autoschedule:
% 45.58/11.83 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 45.58/11.83 # Trying AutoSched0 for 149 seconds
% 45.58/11.83 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 45.58/11.83 # and selection function SelectComplexExceptUniqMaxHorn.
% 45.58/11.83 #
% 45.58/11.83 # Preprocessing time : 0.427 s
% 45.58/11.83 # Presaturation interreduction done
% 45.58/11.83
% 45.58/11.83 # Proof found!
% 45.58/11.83 # SZS status Theorem
% 45.58/11.83 # SZS output start CNFRefutation
% See solution above
% 45.58/11.83 # Training examples: 0 positive, 0 negative
% 45.58/11.83
% 45.58/11.83 # -------------------------------------------------
% 45.58/11.83 # User time : 5.056 s
% 45.58/11.83 # System time : 0.071 s
% 45.58/11.83 # Total time : 5.127 s
% 45.58/11.83 # Maximum resident set size: 7392 pages
% 45.58/11.83
%------------------------------------------------------------------------------