%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT319+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:53 PM UTC 2026
% Result : Theorem 47.92s 12.81s
% Output : CNFRefutation 47.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 96 ( 18 unt; 0 def)
% Number of atoms : 668 ( 0 equ)
% Maximal formula atoms : 70 ( 6 avg)
% Number of connectives : 888 ( 316 ~; 359 |; 179 &)
% ( 9 <=>; 25 =>; 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 : 54 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t54_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v17_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v16_lattices(X1)
& v15_lattices(X1)
& v14_lattices(X1)
& v13_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).
fof(t53_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).
fof(t65_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t65_lattice2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc6_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v16_lattices(X1)
& v15_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).
fof(cc2_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc2_lattices) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t54_filter_2]) ).
fof(c_0_10,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v17_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v16_lattices(X1)
& v15_lattices(X1)
& v14_lattices(X1)
& v13_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
introduced(definition) ).
fof(c_0_13,plain,
! [X74] :
( ( ~ l3_lattices(X74)
| ~ v17_lattices(X74)
| v3_struct_0(X74)
| v16_lattices(X74) )
& ( ~ l3_lattices(X74)
| ~ v17_lattices(X74)
| v3_struct_0(X74)
| v15_lattices(X74) )
& ( ~ l3_lattices(X74)
| ~ v17_lattices(X74)
| v3_struct_0(X74)
| v14_lattices(X74) )
& ( ~ l3_lattices(X74)
| ~ v17_lattices(X74)
| v3_struct_0(X74)
| v13_lattices(X74) )
& ( ~ l3_lattices(X74)
| ~ v17_lattices(X74)
| v3_struct_0(X74)
| v11_lattices(X74) )
& ( ~ l3_lattices(X74)
| ~ v17_lattices(X74)
| v3_struct_0(X74)
| ~ v3_struct_0(X74) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_14,negated_conjecture,
( ( l3_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) )
& ( l3_lattices(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) )
& ( l3_lattices(esk1_0)
| v10_lattices(k1_lattice2(esk1_0)) )
& ( l3_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) )
& ( v17_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) )
& ( v17_lattices(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) )
& ( v17_lattices(esk1_0)
| v10_lattices(k1_lattice2(esk1_0)) )
& ( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) )
& ( v10_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) )
& ( v10_lattices(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) )
& ( v10_lattices(esk1_0)
| v10_lattices(k1_lattice2(esk1_0)) )
& ( v10_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(esk1_0)
| v10_lattices(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) )
& ( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| v3_struct_0(esk1_0) )
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_15,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t53_filter_2]),c_0_12]) ).
fof(c_0_16,plain,
! [X1] :
( epred1_1(X1)
=> ( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| v3_struct_0(X1)
| v16_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( v17_lattices(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( v17_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( ~ v3_struct_0(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X73] :
( epred1_1(X73)
| ~ l3_lattices(X73)
| ~ v10_lattices(X73)
| v3_struct_0(X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_22,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_23,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_24,plain,
! [X6795] :
( ( ~ epred1_1(X6795)
| ~ l3_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| v3_struct_0(k1_lattice2(X6795))
| l3_lattices(X6795) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| v3_struct_0(k1_lattice2(X6795))
| v16_lattices(X6795) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| v3_struct_0(k1_lattice2(X6795))
| v15_lattices(X6795) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| v3_struct_0(k1_lattice2(X6795))
| v10_lattices(X6795) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(k1_lattice2(X6795))
| ~ v16_lattices(k1_lattice2(X6795))
| ~ v15_lattices(k1_lattice2(X6795))
| ~ v10_lattices(k1_lattice2(X6795))
| v3_struct_0(k1_lattice2(X6795))
| ~ v3_struct_0(X6795) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v10_lattices(X6795)
| v3_struct_0(X6795)
| l3_lattices(k1_lattice2(X6795)) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v10_lattices(X6795)
| v3_struct_0(X6795)
| v16_lattices(k1_lattice2(X6795)) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v10_lattices(X6795)
| v3_struct_0(X6795)
| v15_lattices(k1_lattice2(X6795)) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v10_lattices(X6795)
| v3_struct_0(X6795)
| v10_lattices(k1_lattice2(X6795)) )
& ( ~ epred1_1(X6795)
| ~ l3_lattices(X6795)
| ~ v16_lattices(X6795)
| ~ v15_lattices(X6795)
| ~ v10_lattices(X6795)
| v3_struct_0(X6795)
| ~ v3_struct_0(k1_lattice2(X6795)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_25,negated_conjecture,
( v16_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_26,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| epred1_1(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
( v17_lattices(esk1_0)
| v10_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
( v15_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_19]),c_0_20]) ).
fof(c_0_32,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
<=> ( l3_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t65_lattice2]) ).
fof(c_0_33,plain,
! [X24] :
( ( ~ l3_lattices(X24)
| v3_struct_0(X24)
| v3_lattices(k1_lattice2(X24)) )
& ( ~ l3_lattices(X24)
| v3_struct_0(X24)
| ~ v3_struct_0(k1_lattice2(X24)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_34,plain,
( ~ epred1_1(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( v15_lattices(esk1_0)
| v16_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_36,negated_conjecture,
epred1_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_37,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| v15_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_26])]),c_0_27]) ).
cnf(c_0_38,negated_conjecture,
( v10_lattices(k1_lattice2(esk1_0))
| v15_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_30]),c_0_26])]),c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( v15_lattices(esk1_0)
| v15_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_31]),c_0_26])]),c_0_27]) ).
fof(c_0_40,plain,
! [X51] :
( ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| v3_struct_0(k1_lattice2(X51))
| l3_lattices(X51) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| v3_struct_0(k1_lattice2(X51))
| v11_lattices(X51) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| v3_struct_0(k1_lattice2(X51))
| v10_lattices(X51) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(k1_lattice2(X51))
| ~ v11_lattices(k1_lattice2(X51))
| ~ v10_lattices(k1_lattice2(X51))
| v3_struct_0(k1_lattice2(X51))
| ~ v3_struct_0(X51) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(X51)
| ~ v11_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| l3_lattices(k1_lattice2(X51)) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(X51)
| ~ v11_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| v11_lattices(k1_lattice2(X51)) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(X51)
| ~ v11_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| v10_lattices(k1_lattice2(X51)) )
& ( ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ l3_lattices(X51)
| ~ v11_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ v3_struct_0(k1_lattice2(X51)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
cnf(c_0_41,plain,
( ~ epred1_1(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_42,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v15_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]),c_0_38]),c_0_39]) ).
fof(c_0_44,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
cnf(c_0_45,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(k1_lattice2(X1)) ),
inference(csr,[status(thm)],[c_0_41,c_0_28]) ).
cnf(c_0_47,plain,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26])]),c_0_27]) ).
cnf(c_0_48,negated_conjecture,
( v15_lattices(k1_lattice2(esk1_0))
| v16_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_31]),c_0_26])]),c_0_27]) ).
fof(c_0_49,plain,
! [X54] :
( ( ~ l3_lattices(X54)
| l3_lattices(k1_lattice2(X54)) )
& ( ~ l3_lattices(X54)
| v3_lattices(k1_lattice2(X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
fof(c_0_50,plain,
! [X25] :
( ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v10_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v9_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v8_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v7_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v6_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v5_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v4_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v3_lattices(k1_lattice2(X25)) )
& ( ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ v3_struct_0(k1_lattice2(X25)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
cnf(c_0_51,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| v3_struct_0(X1)
| v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,plain,
( ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v11_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(cn,[status(thm)],[c_0_45]) ).
fof(c_0_53,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v16_lattices(X1)
& v15_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
cnf(c_0_54,plain,
( ~ epred1_1(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v16_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_55,negated_conjecture,
v15_lattices(k1_lattice2(esk1_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_26])]),c_0_27]),c_0_47])]),c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| v16_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_19]),c_0_26])]),c_0_27]) ).
cnf(c_0_57,negated_conjecture,
( v10_lattices(k1_lattice2(esk1_0))
| v16_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30]),c_0_26])]),c_0_27]) ).
cnf(c_0_58,negated_conjecture,
( v16_lattices(esk1_0)
| v16_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_59,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( v11_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_63,negated_conjecture,
( ~ v11_lattices(esk1_0)
| v11_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_64,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_65,plain,
! [X75] :
( ( ~ l3_lattices(X75)
| ~ v16_lattices(X75)
| ~ v15_lattices(X75)
| ~ v11_lattices(X75)
| v3_struct_0(X75)
| v17_lattices(X75) )
& ( ~ l3_lattices(X75)
| ~ v16_lattices(X75)
| ~ v15_lattices(X75)
| ~ v11_lattices(X75)
| v3_struct_0(X75)
| ~ v3_struct_0(X75) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
cnf(c_0_66,plain,
( v3_struct_0(k1_lattice2(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(spm,[status(thm)],[c_0_54,c_0_55]),c_0_36])]),c_0_56]),c_0_57]),c_0_58]) ).
cnf(c_0_67,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v11_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_42]) ).
cnf(c_0_68,negated_conjecture,
v11_lattices(k1_lattice2(esk1_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_62]),c_0_26])]),c_0_27]),c_0_63]) ).
cnf(c_0_69,plain,
( ~ epred1_1(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v16_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_70,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ v17_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_26]),c_0_29])]),c_0_27]) ).
cnf(c_0_71,plain,
( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| v3_struct_0(X1)
| v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_66]),c_0_26])]),c_0_27]) ).
cnf(c_0_73,negated_conjecture,
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_67,c_0_68]),c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_74,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| v3_struct_0(X1)
| v16_lattices(k1_lattice2(X1)) ),
inference(csr,[status(thm)],[c_0_69,c_0_28]) ).
fof(c_0_75,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattices]) ).
cnf(c_0_76,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_26])]),c_0_27]),c_0_72]),c_0_47]),c_0_73])]) ).
cnf(c_0_77,negated_conjecture,
v16_lattices(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_29]),c_0_26])]),c_0_27]),c_0_72]),c_0_47])]) ).
fof(c_0_78,plain,
! [X737] :
( ( ~ l3_lattices(X737)
| ~ v9_lattices(X737)
| ~ v8_lattices(X737)
| ~ v7_lattices(X737)
| ~ v6_lattices(X737)
| ~ v5_lattices(X737)
| ~ v4_lattices(X737)
| v3_struct_0(X737)
| v10_lattices(X737) )
& ( ~ l3_lattices(X737)
| ~ v9_lattices(X737)
| ~ v8_lattices(X737)
| ~ v7_lattices(X737)
| ~ v6_lattices(X737)
| ~ v5_lattices(X737)
| ~ v4_lattices(X737)
| v3_struct_0(X737)
| ~ v3_struct_0(X737) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])]) ).
cnf(c_0_79,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_80,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_81,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_82,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_83,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_84,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_85,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_71]),c_0_77]),c_0_55]),c_0_68])]) ).
cnf(c_0_86,plain,
( ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,negated_conjecture,
v9_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_88,negated_conjecture,
v8_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_89,negated_conjecture,
v7_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_90,negated_conjecture,
v6_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_91,negated_conjecture,
v5_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_92,negated_conjecture,
v4_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_29]),c_0_26])]),c_0_27]) ).
cnf(c_0_93,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92])]) ).
cnf(c_0_94,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_60]),c_0_26])]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_94]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT319+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.59 % Computer : n002.cluster.edu
% 0.09/5.59 % Model : x86_64 x86_64
% 0.09/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.59 % Memory : 8046.5625MB
% 0.09/5.59 % OS : Linux 6.8.0-71-generic
% 0.09/5.59 % CPULimit : 300
% 0.09/5.59 % WCLimit : 300
% 0.09/5.59 % DateTime : Sun Sep 20 23:38:58 UTC 2026
% 0.09/5.59 % CPUTime :
% 0.09/5.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.64 Running first-order theorem proving
% 0.15/5.64 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.92/12.81 % Version: 3.5.1
% 47.92/12.81 % Preprocessing class: FMLMSMSLSSSNFFN.
% 47.92/12.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.92/12.81 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 47.92/12.81 % Starting new_bool_3 with 600s (2) cores
% 47.92/12.81 % Starting new_bool_1 with 600s (2) cores
% 47.92/12.81 % Starting sh5l with 300s (1) cores
% 47.92/12.81 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1954031 completed with status 0
% 47.92/12.81 % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 47.92/12.81 % Preprocessing class: FMLMSMSLSSSNFFN.
% 47.92/12.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.92/12.81 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 47.92/12.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.92/12.81 % SinE strategy is gf600_h_gu_R05_F100_L20000
% 47.92/12.81 % Search class: FGHSM-SMLM32-DFFFFFNN
% 47.92/12.81 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 47.92/12.81 % Starting SubtermCWHack with 82s (1) cores
% 47.92/12.81 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 47.92/12.81 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 47.92/12.81 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1954042 completed with status 0
% 47.92/12.81 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 47.92/12.81 % Preprocessing class: FMLMSMSLSSSNFFN.
% 47.92/12.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.92/12.81 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 47.92/12.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.92/12.81 % SinE strategy is gf600_h_gu_R05_F100_L20000
% 47.92/12.81 % Search class: FGHSM-SMLM32-DFFFFFNN
% 47.92/12.81 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 47.92/12.81 % Starting SubtermCWHack with 82s (1) cores
% 47.92/12.81 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 47.92/12.81 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 47.92/12.81 % Preprocessing time : 0.086 s
% 47.92/12.81
% 47.92/12.81 % Proof found!
% 47.92/12.81 % SZS status Theorem
% 47.92/12.81 % SZS output start CNFRefutation
% See solution above
% 47.92/12.81 % Parsed axioms : 2987
% 47.92/12.81 % Removed by relevancy pruning/SinE : 872
% 47.92/12.81 % Initial clauses : 4544
% 47.92/12.81 % Removed in clause preprocessing : 138
% 47.92/12.81 % Initial clauses in saturation : 4406
% 47.92/12.81 % Processed clauses : 5218
% 47.92/12.81 % ...of these trivial : 98
% 47.92/12.81 % ...subsumed : 321
% 47.92/12.81 % ...remaining for further processing : 4799
% 47.92/12.81 % Other redundant clauses eliminated : 864
% 47.92/12.81 % Clauses deleted for lack of memory : 0
% 47.92/12.81 % Backward-subsumed : 92
% 47.92/12.81 % Backward-rewritten : 103
% 47.92/12.81 % Generated clauses : 138769
% 47.92/12.81 % ...of the previous two non-redundant : 121292
% 47.92/12.81 % ...aggressively subsumed : 0
% 47.92/12.81 % Contextual simplify-reflections : 259
% 47.92/12.81 % Paramodulations : 137608
% 47.92/12.81 % Factorizations : 340
% 47.92/12.81 % NegExts : 0
% 47.92/12.81 % Equation resolutions : 929
% 47.92/12.81 % Disequality decompositions : 0
% 47.92/12.81 % Total rewrite steps : 209469
% 47.92/12.81 % ...of those cached : 200693
% 47.92/12.81 % Propositional unsat checks : 0
% 47.92/12.81 % Propositional check models : 0
% 47.92/12.81 % Propositional check unsatisfiable : 0
% 47.92/12.81 % Propositional clauses : 0
% 47.92/12.81 % Propositional clauses after purity: 0
% 47.92/12.81 % Propositional unsat core size : 0
% 47.92/12.81 % Propositional preprocessing time : 0.000
% 47.92/12.81 % Propositional encoding time : 0.000
% 47.92/12.81 % Propositional solver time : 0.000
% 47.92/12.81 % Success case prop preproc time : 0.000
% 47.92/12.81 % Success case prop encoding time : 0.000
% 47.92/12.81 % Success case prop solver time : 0.000
% 47.92/12.81 % Current number of processed clauses : 4070
% 47.92/12.81 % Positive orientable unit clauses : 789
% 47.92/12.81 % Positive unorientable unit clauses: 58
% 47.92/12.81 % Negative unit clauses : 95
% 47.92/12.81 % Non-unit-clauses : 3128
% 47.92/12.81 % Current number of unprocessed clauses: 120286
% 47.92/12.81 % ...number of literals in the above : 377012
% 47.92/12.81 % Current number of archived formulas : 0
% 47.92/12.81 % Current number of archived clauses : 215
% 47.92/12.81 % Clause-clause subsumption calls (NU) : 4641131
% 47.92/12.81 % Rec. Clause-clause subsumption calls : 330759
% 47.92/12.81 % Non-unit clause-clause subsumptions : 570
% 47.92/12.81 % Unit Clause-clause subsumption calls : 234554
% 47.92/12.81 % Rewrite failures with RHS unbound : 0
% 47.92/12.81 % BW rewrite match attempts : 7747
% 47.92/12.81 % BW rewrite match successes : 4512
% 47.92/12.81 % Condensation attempts : 0
% 47.92/12.81 % Condensation successes : 0
% 47.92/12.81 % Termbank termtop insertions : 5609082
% 47.92/12.81 % Search garbage collected termcells : 92793
% 47.92/12.81
% 47.92/12.81 % -------------------------------------------------
% 47.92/12.81 % User time : 6.769 s
% 47.92/12.81 % System time : 0.160 s
% 47.92/12.81 % Total time : 6.928 s
% 47.92/12.81 % Maximum resident set size: 25104 pages
% 47.92/12.81
% 47.92/12.81 % -------------------------------------------------
% 47.92/12.81 % User time : 19.048 s
% 47.92/12.81 % System time : 0.410 s
% 47.92/12.81 % Total time : 19.458 s
% 47.92/12.81 % Maximum resident set size: 8448 pages
% 47.92/12.81 % E exiting
%------------------------------------------------------------------------------