TSTP Solution File: LAT319+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT319+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:10:39 EDT 2023
% Result : Theorem 481.67s 66.88s
% Output : CNFRefutation 481.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 4 unt; 0 def)
% Number of atoms : 544 ( 0 equ)
% Maximal formula atoms : 70 ( 9 avg)
% Number of connectives : 764 ( 276 ~; 304 |; 156 &)
% ( 8 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 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 : 44 ( 0 sgn; 25 !; 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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',t54_filter_2) ).
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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',fc1_lattice2) ).
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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',cc6_lattices) ).
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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',cc5_lattices) ).
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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',t65_lattice2) ).
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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',t53_filter_2) ).
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/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',fc6_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p',dt_k1_lattice2) ).
fof(c_0_8,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t54_filter_2])]) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_10,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
fof(c_0_11,plain,
! [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) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_12,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)],[c_0_8])])])]) ).
fof(c_0_13,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_14,plain,
! [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)) ) ) ),
inference(fof_simplification,[status(thm)],[t65_lattice2]) ).
fof(c_0_15,plain,
! [X54] :
( ( ~ v3_struct_0(k1_lattice2(X54))
| v3_struct_0(X54)
| ~ l3_lattices(X54) )
& ( v3_lattices(k1_lattice2(X54))
| v3_struct_0(X54)
| ~ l3_lattices(X54) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_16,plain,
! [X1319] :
( ( ~ v3_struct_0(X1319)
| v3_struct_0(X1319)
| ~ v11_lattices(X1319)
| ~ v15_lattices(X1319)
| ~ v16_lattices(X1319)
| ~ l3_lattices(X1319) )
& ( v17_lattices(X1319)
| v3_struct_0(X1319)
| ~ v11_lattices(X1319)
| ~ v15_lattices(X1319)
| ~ v16_lattices(X1319)
| ~ l3_lattices(X1319) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_17,plain,
! [X1241] :
( ( ~ v3_struct_0(X1241)
| v3_struct_0(X1241)
| ~ v17_lattices(X1241)
| ~ l3_lattices(X1241) )
& ( v11_lattices(X1241)
| v3_struct_0(X1241)
| ~ v17_lattices(X1241)
| ~ l3_lattices(X1241) )
& ( v13_lattices(X1241)
| v3_struct_0(X1241)
| ~ v17_lattices(X1241)
| ~ l3_lattices(X1241) )
& ( v14_lattices(X1241)
| v3_struct_0(X1241)
| ~ v17_lattices(X1241)
| ~ l3_lattices(X1241) )
& ( v15_lattices(X1241)
| v3_struct_0(X1241)
| ~ v17_lattices(X1241)
| ~ l3_lattices(X1241) )
& ( v16_lattices(X1241)
| v3_struct_0(X1241)
| ~ v17_lattices(X1241)
| ~ l3_lattices(X1241) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_18,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_12]) ).
cnf(c_0_19,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,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_13]) ).
fof(c_0_23,plain,
! [X81] :
( ( ~ v3_struct_0(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( v10_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( v11_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( l3_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( ~ v3_struct_0(X81)
| v3_struct_0(k1_lattice2(X81))
| ~ v10_lattices(k1_lattice2(X81))
| ~ v11_lattices(k1_lattice2(X81))
| ~ l3_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( v10_lattices(X81)
| v3_struct_0(k1_lattice2(X81))
| ~ v10_lattices(k1_lattice2(X81))
| ~ v11_lattices(k1_lattice2(X81))
| ~ l3_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( v11_lattices(X81)
| v3_struct_0(k1_lattice2(X81))
| ~ v10_lattices(k1_lattice2(X81))
| ~ v11_lattices(k1_lattice2(X81))
| ~ l3_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( l3_lattices(X81)
| v3_struct_0(k1_lattice2(X81))
| ~ v10_lattices(k1_lattice2(X81))
| ~ v11_lattices(k1_lattice2(X81))
| ~ l3_lattices(k1_lattice2(X81))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t53_filter_2]),c_0_13]) ).
fof(c_0_25,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,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_16]) ).
cnf(c_0_28,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,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_18,c_0_19]),c_0_20])]),c_0_21]) ).
fof(c_0_32,plain,
! [X41797] :
( ( ~ v3_struct_0(k1_lattice2(X41797))
| v3_struct_0(X41797)
| ~ v10_lattices(X41797)
| ~ v15_lattices(X41797)
| ~ v16_lattices(X41797)
| ~ l3_lattices(X41797)
| ~ epred1_1(X41797) )
& ( v10_lattices(k1_lattice2(X41797))
| v3_struct_0(X41797)
| ~ v10_lattices(X41797)
| ~ v15_lattices(X41797)
| ~ v16_lattices(X41797)
| ~ l3_lattices(X41797)
| ~ epred1_1(X41797) )
& ( v15_lattices(k1_lattice2(X41797))
| v3_struct_0(X41797)
| ~ v10_lattices(X41797)
| ~ v15_lattices(X41797)
| ~ v16_lattices(X41797)
| ~ l3_lattices(X41797)
| ~ epred1_1(X41797) )
& ( v16_lattices(k1_lattice2(X41797))
| v3_struct_0(X41797)
| ~ v10_lattices(X41797)
| ~ v15_lattices(X41797)
| ~ v16_lattices(X41797)
| ~ l3_lattices(X41797)
| ~ epred1_1(X41797) )
& ( l3_lattices(k1_lattice2(X41797))
| v3_struct_0(X41797)
| ~ v10_lattices(X41797)
| ~ v15_lattices(X41797)
| ~ v16_lattices(X41797)
| ~ l3_lattices(X41797)
| ~ epred1_1(X41797) )
& ( ~ v3_struct_0(X41797)
| v3_struct_0(k1_lattice2(X41797))
| ~ v10_lattices(k1_lattice2(X41797))
| ~ v15_lattices(k1_lattice2(X41797))
| ~ v16_lattices(k1_lattice2(X41797))
| ~ l3_lattices(k1_lattice2(X41797))
| ~ epred1_1(X41797) )
& ( v10_lattices(X41797)
| v3_struct_0(k1_lattice2(X41797))
| ~ v10_lattices(k1_lattice2(X41797))
| ~ v15_lattices(k1_lattice2(X41797))
| ~ v16_lattices(k1_lattice2(X41797))
| ~ l3_lattices(k1_lattice2(X41797))
| ~ epred1_1(X41797) )
& ( v15_lattices(X41797)
| v3_struct_0(k1_lattice2(X41797))
| ~ v10_lattices(k1_lattice2(X41797))
| ~ v15_lattices(k1_lattice2(X41797))
| ~ v16_lattices(k1_lattice2(X41797))
| ~ l3_lattices(k1_lattice2(X41797))
| ~ epred1_1(X41797) )
& ( v16_lattices(X41797)
| v3_struct_0(k1_lattice2(X41797))
| ~ v10_lattices(k1_lattice2(X41797))
| ~ v15_lattices(k1_lattice2(X41797))
| ~ v16_lattices(k1_lattice2(X41797))
| ~ l3_lattices(k1_lattice2(X41797))
| ~ epred1_1(X41797) )
& ( l3_lattices(X41797)
| v3_struct_0(k1_lattice2(X41797))
| ~ v10_lattices(k1_lattice2(X41797))
| ~ v15_lattices(k1_lattice2(X41797))
| ~ v16_lattices(k1_lattice2(X41797))
| ~ l3_lattices(k1_lattice2(X41797))
| ~ epred1_1(X41797) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_33,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_23]) ).
fof(c_0_34,plain,
! [X93] :
( v3_struct_0(X93)
| ~ v10_lattices(X93)
| ~ l3_lattices(X93)
| epred1_1(X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_35,plain,
! [X55] :
( ( ~ v3_struct_0(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v3_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v4_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v5_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v6_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v7_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v8_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v9_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) )
& ( v10_lattices(k1_lattice2(X55))
| v3_struct_0(X55)
| ~ v10_lattices(X55)
| ~ l3_lattices(X55) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_36,plain,
! [X85] :
( ( v3_lattices(k1_lattice2(X85))
| ~ l3_lattices(X85) )
& ( l3_lattices(k1_lattice2(X85))
| ~ l3_lattices(X85) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_37,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_39,negated_conjecture,
( v16_lattices(esk1_0)
| ~ v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_28]),c_0_19])]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_41,negated_conjecture,
( v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_29]),c_0_19])]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_30]) ).
cnf(c_0_43,negated_conjecture,
( v11_lattices(esk1_0)
| ~ v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_19])]) ).
cnf(c_0_44,negated_conjecture,
( ~ 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(spm,[status(thm)],[c_0_26,c_0_31]),c_0_19])]),c_0_21]) ).
cnf(c_0_45,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_32]) ).
cnf(c_0_46,plain,
( v15_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_32]) ).
cnf(c_0_47,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_23]) ).
cnf(c_0_48,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_32]) ).
cnf(c_0_49,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_32]) ).
cnf(c_0_50,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_33]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,negated_conjecture,
( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_55,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_37,c_0_38,c_0_39,c_0_40,c_0_41,c_0_42,c_0_43,c_0_44,c_0_45,c_0_46,c_0_47,c_0_48,c_0_49,c_0_27,c_0_50,c_0_51,c_0_52,c_0_26,c_0_53,c_0_54,c_0_21,c_0_20,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT319+4 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n021.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 : 2400
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Oct 2 10:53:18 EDT 2023
% 0.11/0.33 % CPUTime :
% 4.25/4.42 Running first-order model finding
% 4.25/4.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.pPpaM06Gny/E---3.1_18315.p
% 481.67/66.88 # Version: 3.1pre001
% 481.67/66.88 # Preprocessing class: FMLLMLLLSSSNFFN.
% 481.67/66.88 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 481.67/66.88 # Starting new_bool_3 with 897s (3) cores
% 481.67/66.88 # Starting new_bool_1 with 897s (3) cores
% 481.67/66.88 # Starting sh5l with 299s (1) cores
% 481.67/66.88 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 481.67/66.88 # sh5l with pid 18395 completed with status 0
% 481.67/66.88 # Result found by sh5l
% 481.67/66.88 # Preprocessing class: FMLLMLLLSSSNFFN.
% 481.67/66.88 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 481.67/66.88 # Starting new_bool_3 with 897s (3) cores
% 481.67/66.88 # Starting new_bool_1 with 897s (3) cores
% 481.67/66.88 # Starting sh5l with 299s (1) cores
% 481.67/66.88 # SinE strategy is gf500_gu_R04_F100_L20000
% 481.67/66.88 # Search class: FGHSM-SMLM32-DFFFFFNN
% 481.67/66.88 # Scheduled 13 strats onto 1 cores with 293 seconds (293 total)
% 481.67/66.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 22s (1) cores
% 481.67/66.88 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 18405 completed with status 7
% 481.67/66.88 # Starting sh5l with 30s (1) cores
% 481.67/66.88 # sh5l with pid 18409 completed with status 7
% 481.67/66.88 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 22s (1) cores
% 481.67/66.88 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 18719 completed with status 0
% 481.67/66.88 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 481.67/66.88 # Preprocessing class: FMLLMLLLSSSNFFN.
% 481.67/66.88 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 481.67/66.88 # Starting new_bool_3 with 897s (3) cores
% 481.67/66.88 # Starting new_bool_1 with 897s (3) cores
% 481.67/66.88 # Starting sh5l with 299s (1) cores
% 481.67/66.88 # SinE strategy is gf500_gu_R04_F100_L20000
% 481.67/66.88 # Search class: FGHSM-SMLM32-DFFFFFNN
% 481.67/66.88 # Scheduled 13 strats onto 1 cores with 293 seconds (293 total)
% 481.67/66.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 22s (1) cores
% 481.67/66.88 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 18405 completed with status 7
% 481.67/66.88 # Starting sh5l with 30s (1) cores
% 481.67/66.88 # sh5l with pid 18409 completed with status 7
% 481.67/66.88 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 22s (1) cores
% 481.67/66.88 # Preprocessing time : 0.672 s
% 481.67/66.88 # SatCheck found unsatisfiable ground set
% 481.67/66.88
% 481.67/66.88 # Proof found!
% 481.67/66.88 # SZS status Theorem
% 481.67/66.88 # SZS output start CNFRefutation
% See solution above
% 481.67/66.88 # Parsed axioms : 34721
% 481.67/66.88 # Removed by relevancy pruning/SinE : 21067
% 481.67/66.88 # Initial clauses : 38467
% 481.67/66.88 # Removed in clause preprocessing : 999
% 481.67/66.88 # Initial clauses in saturation : 37468
% 481.67/66.88 # Processed clauses : 5709
% 481.67/66.88 # ...of these trivial : 302
% 481.67/66.88 # ...subsumed : 407
% 481.67/66.88 # ...remaining for further processing : 5000
% 481.67/66.88 # Other redundant clauses eliminated : 131
% 481.67/66.88 # Clauses deleted for lack of memory : 0
% 481.67/66.88 # Backward-subsumed : 5
% 481.67/66.88 # Backward-rewritten : 36
% 481.67/66.88 # Generated clauses : 37261
% 481.67/66.88 # ...of the previous two non-redundant : 33865
% 481.67/66.88 # ...aggressively subsumed : 0
% 481.67/66.88 # Contextual simplify-reflections : 39
% 481.67/66.88 # Paramodulations : 37129
% 481.67/66.88 # Factorizations : 1
% 481.67/66.88 # NegExts : 0
% 481.67/66.88 # Equation resolutions : 137
% 481.67/66.88 # Total rewrite steps : 8122
% 481.67/66.88 # Propositional unsat checks : 1
% 481.67/66.88 # Propositional check models : 0
% 481.67/66.88 # Propositional check unsatisfiable : 1
% 481.67/66.88 # Propositional clauses : 70483
% 481.67/66.88 # Propositional clauses after purity: 10520
% 481.67/66.88 # Propositional unsat core size : 23
% 481.67/66.88 # Propositional preprocessing time : 0.000
% 481.67/66.88 # Propositional encoding time : 0.191
% 481.67/66.88 # Propositional solver time : 0.082
% 481.67/66.88 # Success case prop preproc time : 0.000
% 481.67/66.88 # Success case prop encoding time : 0.191
% 481.67/66.88 # Success case prop solver time : 0.082
% 481.67/66.88 # Current number of processed clauses : 4859
% 481.67/66.88 # Positive orientable unit clauses : 1971
% 481.67/66.88 # Positive unorientable unit clauses: 4
% 481.67/66.88 # Negative unit clauses : 301
% 481.67/66.88 # Non-unit-clauses : 2583
% 481.67/66.88 # Current number of unprocessed clauses: 65624
% 481.67/66.88 # ...number of literals in the above : 361261
% 481.67/66.88 # Current number of archived formulas : 0
% 481.67/66.88 # Current number of archived clauses : 41
% 481.67/66.88 # Clause-clause subsumption calls (NU) : 2218593
% 481.67/66.88 # Rec. Clause-clause subsumption calls : 866045
% 481.67/66.88 # Non-unit clause-clause subsumptions : 400
% 481.67/66.88 # Unit Clause-clause subsumption calls : 247263
% 481.67/66.88 # Rewrite failures with RHS unbound : 0
% 481.67/66.88 # BW rewrite match attempts : 159
% 481.67/66.88 # BW rewrite match successes : 87
% 481.67/66.88 # Condensation attempts : 0
% 481.67/66.88 # Condensation successes : 0
% 481.67/66.88 # Termbank termtop insertions : 5567763
% 481.67/66.88
% 481.67/66.88 # -------------------------------------------------
% 481.67/66.88 # User time : 59.238 s
% 481.67/66.88 # System time : 0.889 s
% 481.67/66.88 # Total time : 60.127 s
% 481.67/66.88 # Maximum resident set size: 182316 pages
% 481.67/66.88
% 481.67/66.88 # -------------------------------------------------
% 481.67/66.88 # User time : 60.842 s
% 481.67/66.88 # System time : 0.936 s
% 481.67/66.88 # Total time : 61.778 s
% 481.67/66.88 # Maximum resident set size: 53848 pages
% 481.67/66.88 % E---3.1 exiting
%------------------------------------------------------------------------------