%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT319+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:05 PM UTC 2026
% Result : Theorem 1.29s 1.73s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 7 unt; 0 def)
% Number of atoms : 614 ( 0 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 858 ( 317 ~; 357 |; 156 &)
% ( 8 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 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 : 50 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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/theBenchmark.p',cc6_lattices) ).
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/theBenchmark.p',fc1_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/theBenchmark.p',t65_lattice2) ).
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(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
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/theBenchmark.p',fc6_lattice2) ).
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/theBenchmark.p',cc5_lattices) ).
fof(c_0_8,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_9,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_8]) ).
fof(c_0_10,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_8]) ).
fof(c_0_11,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_12,plain,
! [X214] :
( ( ~ v3_struct_0(k1_lattice2(X214))
| v3_struct_0(X214)
| ~ v10_lattices(X214)
| ~ v15_lattices(X214)
| ~ v16_lattices(X214)
| ~ l3_lattices(X214)
| ~ epred1_1(X214) )
& ( v10_lattices(k1_lattice2(X214))
| v3_struct_0(X214)
| ~ v10_lattices(X214)
| ~ v15_lattices(X214)
| ~ v16_lattices(X214)
| ~ l3_lattices(X214)
| ~ epred1_1(X214) )
& ( v15_lattices(k1_lattice2(X214))
| v3_struct_0(X214)
| ~ v10_lattices(X214)
| ~ v15_lattices(X214)
| ~ v16_lattices(X214)
| ~ l3_lattices(X214)
| ~ epred1_1(X214) )
& ( v16_lattices(k1_lattice2(X214))
| v3_struct_0(X214)
| ~ v10_lattices(X214)
| ~ v15_lattices(X214)
| ~ v16_lattices(X214)
| ~ l3_lattices(X214)
| ~ epred1_1(X214) )
& ( l3_lattices(k1_lattice2(X214))
| v3_struct_0(X214)
| ~ v10_lattices(X214)
| ~ v15_lattices(X214)
| ~ v16_lattices(X214)
| ~ l3_lattices(X214)
| ~ epred1_1(X214) )
& ( ~ v3_struct_0(X214)
| v3_struct_0(k1_lattice2(X214))
| ~ v10_lattices(k1_lattice2(X214))
| ~ v15_lattices(k1_lattice2(X214))
| ~ v16_lattices(k1_lattice2(X214))
| ~ l3_lattices(k1_lattice2(X214))
| ~ epred1_1(X214) )
& ( v10_lattices(X214)
| v3_struct_0(k1_lattice2(X214))
| ~ v10_lattices(k1_lattice2(X214))
| ~ v15_lattices(k1_lattice2(X214))
| ~ v16_lattices(k1_lattice2(X214))
| ~ l3_lattices(k1_lattice2(X214))
| ~ epred1_1(X214) )
& ( v15_lattices(X214)
| v3_struct_0(k1_lattice2(X214))
| ~ v10_lattices(k1_lattice2(X214))
| ~ v15_lattices(k1_lattice2(X214))
| ~ v16_lattices(k1_lattice2(X214))
| ~ l3_lattices(k1_lattice2(X214))
| ~ epred1_1(X214) )
& ( v16_lattices(X214)
| v3_struct_0(k1_lattice2(X214))
| ~ v10_lattices(k1_lattice2(X214))
| ~ v15_lattices(k1_lattice2(X214))
| ~ v16_lattices(k1_lattice2(X214))
| ~ l3_lattices(k1_lattice2(X214))
| ~ epred1_1(X214) )
& ( l3_lattices(X214)
| v3_struct_0(k1_lattice2(X214))
| ~ v10_lattices(k1_lattice2(X214))
| ~ v15_lattices(k1_lattice2(X214))
| ~ v16_lattices(k1_lattice2(X214))
| ~ l3_lattices(k1_lattice2(X214))
| ~ epred1_1(X214) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X204] :
( v3_struct_0(X204)
| ~ v10_lattices(X204)
| ~ l3_lattices(X204)
| epred1_1(X204) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_14,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_15,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_16,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_17,plain,
! [X125] :
( ( ~ v3_struct_0(X125)
| v3_struct_0(X125)
| ~ v11_lattices(X125)
| ~ v15_lattices(X125)
| ~ v16_lattices(X125)
| ~ l3_lattices(X125) )
& ( v17_lattices(X125)
| v3_struct_0(X125)
| ~ v11_lattices(X125)
| ~ v15_lattices(X125)
| ~ v16_lattices(X125)
| ~ l3_lattices(X125) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_18,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_12]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X132] :
( ( v3_lattices(k1_lattice2(X132))
| ~ l3_lattices(X132) )
& ( l3_lattices(k1_lattice2(X132))
| ~ l3_lattices(X132) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_21,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_12]) ).
fof(c_0_22,plain,
! [X153] :
( ( ~ v3_struct_0(k1_lattice2(X153))
| v3_struct_0(X153)
| ~ l3_lattices(X153) )
& ( v3_lattices(k1_lattice2(X153))
| v3_struct_0(X153)
| ~ l3_lattices(X153) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_23,plain,
! [X208] :
( ( ~ v3_struct_0(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ v11_lattices(X208)
| ~ l3_lattices(X208)
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( v10_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ v11_lattices(X208)
| ~ l3_lattices(X208)
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( v11_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ v11_lattices(X208)
| ~ l3_lattices(X208)
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( l3_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ v11_lattices(X208)
| ~ l3_lattices(X208)
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( ~ v3_struct_0(X208)
| v3_struct_0(k1_lattice2(X208))
| ~ v10_lattices(k1_lattice2(X208))
| ~ v11_lattices(k1_lattice2(X208))
| ~ l3_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( v10_lattices(X208)
| v3_struct_0(k1_lattice2(X208))
| ~ v10_lattices(k1_lattice2(X208))
| ~ v11_lattices(k1_lattice2(X208))
| ~ l3_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( v11_lattices(X208)
| v3_struct_0(k1_lattice2(X208))
| ~ v10_lattices(k1_lattice2(X208))
| ~ v11_lattices(k1_lattice2(X208))
| ~ l3_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) )
& ( l3_lattices(X208)
| v3_struct_0(k1_lattice2(X208))
| ~ v10_lattices(k1_lattice2(X208))
| ~ v11_lattices(k1_lattice2(X208))
| ~ l3_lattices(k1_lattice2(X208))
| v3_struct_0(X208)
| ~ v10_lattices(X208)
| ~ l3_lattices(X208) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_24,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]) ).
fof(c_0_25,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_16])])])]) ).
cnf(c_0_26,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_17]) ).
cnf(c_0_27,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,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_32,plain,
! [X165] :
( ( ~ v3_struct_0(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v3_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v4_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v5_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v6_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v7_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v8_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v9_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( v10_lattices(k1_lattice2(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_33,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]) ).
cnf(c_0_34,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_25]) ).
cnf(c_0_35,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1) ),
inference(cn,[status(thm)],[c_0_31]) ).
cnf(c_0_40,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_12]) ).
cnf(c_0_41,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_42,plain,
! [X124] :
( ( ~ v3_struct_0(X124)
| v3_struct_0(X124)
| ~ v17_lattices(X124)
| ~ l3_lattices(X124) )
& ( v11_lattices(X124)
| v3_struct_0(X124)
| ~ v17_lattices(X124)
| ~ l3_lattices(X124) )
& ( v13_lattices(X124)
| v3_struct_0(X124)
| ~ v17_lattices(X124)
| ~ l3_lattices(X124) )
& ( v14_lattices(X124)
| v3_struct_0(X124)
| ~ v17_lattices(X124)
| ~ l3_lattices(X124) )
& ( v15_lattices(X124)
| v3_struct_0(X124)
| ~ v17_lattices(X124)
| ~ l3_lattices(X124) )
& ( v16_lattices(X124)
| v3_struct_0(X124)
| ~ v17_lattices(X124)
| ~ l3_lattices(X124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_43,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))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_44,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_19]),c_0_41]),c_0_28]),c_0_30]) ).
cnf(c_0_46,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_49,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_50,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_51,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_12]) ).
cnf(c_0_52,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_53,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_43,c_0_44]),c_0_36]),c_0_35])]),c_0_37]) ).
cnf(c_0_54,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_28]),c_0_30]) ).
cnf(c_0_55,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_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_56,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_19]),c_0_41]),c_0_28]),c_0_30]) ).
cnf(c_0_57,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_52,c_0_41]),c_0_28]),c_0_30]) ).
cnf(c_0_58,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_59,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v11_lattices(esk1_0)
| ~ v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_36])]),c_0_37]) ).
cnf(c_0_60,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_36]),c_0_35])]),c_0_37]),c_0_55]) ).
cnf(c_0_61,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_46]),c_0_28]),c_0_30]) ).
cnf(c_0_62,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_28]),c_0_30]) ).
cnf(c_0_63,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_36])]),c_0_37]) ).
cnf(c_0_64,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_36])]),c_0_37]) ).
cnf(c_0_65,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48]),c_0_36]),c_0_35])]),c_0_37]),c_0_55]) ).
cnf(c_0_66,negated_conjecture,
( v11_lattices(esk1_0)
| v17_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_62,c_0_48]),c_0_36]),c_0_35])]),c_0_37]) ).
cnf(c_0_67,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_68,negated_conjecture,
v17_lattices(esk1_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_65]),c_0_64]),c_0_36])]),c_0_37]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_70,negated_conjecture,
( v3_struct_0(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)],[inference(spm,[status(thm)],[c_0_69,c_0_41]),c_0_36]),c_0_35])]),c_0_37]) ).
cnf(c_0_71,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_28]),c_0_36])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_71]),c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT319+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n019.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:14:59 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.29/1.73 % Version : CSE_E---1.7
% 1.29/1.73 % Problem : theBenchmark.p
% 1.29/1.73 % SZS status Theorem for theBenchmark.p
% 1.29/1.73 % SZS output start CNFRefutation
% See solution above
% 1.29/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------