%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP653+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 : n002.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 04:26:44 PM UTC 2026
% Result : Theorem 1.37s 1.75s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 22 unt; 0 def)
% Number of atoms : 375 ( 0 equ)
% Maximal formula atoms : 34 ( 7 avg)
% Number of connectives : 490 ( 167 ~; 173 |; 114 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_vectsp_8,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_vectsp_8) ).
fof(dt_m4_vectsp_8,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m4_vectsp_8(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(t37_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(t38_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(dt_k11_group_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(t36_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_latsubgr) ).
fof(c_0_6,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_vectsp_8]) ).
fof(c_0_7,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m4_vectsp_8(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m4_vectsp_8]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t37_latsubgr]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t38_latsubgr])]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_group_4]) ).
fof(c_0_11,plain,
! [X226,X227,X228] :
( ( m4_vectsp_8(X228,X226,X227)
| ~ m1_lattice4(X228,X226,X227)
| ~ v1_funct_1(X228)
| ~ v1_funct_2(X228,u1_struct_0(X226),u1_struct_0(X227))
| ~ m2_relset_1(X228,u1_struct_0(X226),u1_struct_0(X227))
| v3_struct_0(X227)
| ~ v10_lattices(X227)
| ~ l3_lattices(X227)
| v3_struct_0(X226)
| ~ v10_lattices(X226)
| ~ l3_lattices(X226) )
& ( m3_vectsp_8(X228,X226,X227)
| ~ m1_lattice4(X228,X226,X227)
| ~ v1_funct_1(X228)
| ~ v1_funct_2(X228,u1_struct_0(X226),u1_struct_0(X227))
| ~ m2_relset_1(X228,u1_struct_0(X226),u1_struct_0(X227))
| v3_struct_0(X227)
| ~ v10_lattices(X227)
| ~ l3_lattices(X227)
| v3_struct_0(X226)
| ~ v10_lattices(X226)
| ~ l3_lattices(X226) )
& ( ~ m4_vectsp_8(X228,X226,X227)
| ~ m3_vectsp_8(X228,X226,X227)
| m1_lattice4(X228,X226,X227)
| ~ v1_funct_1(X228)
| ~ v1_funct_2(X228,u1_struct_0(X226),u1_struct_0(X227))
| ~ m2_relset_1(X228,u1_struct_0(X226),u1_struct_0(X227))
| v3_struct_0(X227)
| ~ v10_lattices(X227)
| ~ l3_lattices(X227)
| v3_struct_0(X226)
| ~ v10_lattices(X226)
| ~ l3_lattices(X226) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_12,plain,
! [X168,X169,X170] :
( ( v1_funct_1(X170)
| ~ m4_vectsp_8(X170,X168,X169)
| v3_struct_0(X168)
| ~ v10_lattices(X168)
| ~ l3_lattices(X168)
| v3_struct_0(X169)
| ~ v10_lattices(X169)
| ~ l3_lattices(X169) )
& ( v1_funct_2(X170,u1_struct_0(X168),u1_struct_0(X169))
| ~ m4_vectsp_8(X170,X168,X169)
| v3_struct_0(X168)
| ~ v10_lattices(X168)
| ~ l3_lattices(X168)
| v3_struct_0(X169)
| ~ v10_lattices(X169)
| ~ l3_lattices(X169) )
& ( m2_relset_1(X170,u1_struct_0(X168),u1_struct_0(X169))
| ~ m4_vectsp_8(X170,X168,X169)
| v3_struct_0(X168)
| ~ v10_lattices(X168)
| ~ l3_lattices(X168)
| v3_struct_0(X169)
| ~ v10_lattices(X169)
| ~ l3_lattices(X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_13,plain,
! [X236,X237,X238] :
( v3_struct_0(X236)
| ~ v3_group_1(X236)
| ~ v4_group_1(X236)
| ~ l1_group_1(X236)
| v3_struct_0(X237)
| ~ v3_group_1(X237)
| ~ v4_group_1(X237)
| ~ l1_group_1(X237)
| ~ v1_funct_1(X238)
| ~ v1_funct_2(X238,u1_struct_0(X236),u1_struct_0(X237))
| ~ v1_group_6(X238,X236,X237)
| ~ m2_relset_1(X238,u1_struct_0(X236),u1_struct_0(X237))
| m4_vectsp_8(k3_latsubgr(X236,X237,X238),k11_group_4(X236),k11_group_4(X237)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_group_6(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v2_funct_1(esk3_0)
& ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_15,plain,
! [X151] :
( ( ~ v3_struct_0(k11_group_4(X151))
| v3_struct_0(X151)
| ~ v3_group_1(X151)
| ~ v4_group_1(X151)
| ~ l1_group_1(X151) )
& ( v3_lattices(k11_group_4(X151))
| v3_struct_0(X151)
| ~ v3_group_1(X151)
| ~ v4_group_1(X151)
| ~ l1_group_1(X151) )
& ( v10_lattices(k11_group_4(X151))
| v3_struct_0(X151)
| ~ v3_group_1(X151)
| ~ v4_group_1(X151)
| ~ l1_group_1(X151) )
& ( l3_lattices(k11_group_4(X151))
| v3_struct_0(X151)
| ~ v3_group_1(X151)
| ~ v4_group_1(X151)
| ~ l1_group_1(X151) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_latsubgr]) ).
cnf(c_0_17,plain,
( m1_lattice4(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
v1_group_6(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
l1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
v4_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
v3_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,plain,
( v10_lattices(k11_group_4(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
( l3_lattices(k11_group_4(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_36,plain,
! [X233,X234,X235] :
( v3_struct_0(X233)
| ~ v3_group_1(X233)
| ~ v4_group_1(X233)
| ~ l1_group_1(X233)
| v3_struct_0(X234)
| ~ v3_group_1(X234)
| ~ v4_group_1(X234)
| ~ l1_group_1(X234)
| ~ v1_funct_1(X235)
| ~ v1_funct_2(X235,u1_struct_0(X233),u1_struct_0(X234))
| ~ v1_group_6(X235,X233,X234)
| ~ m2_relset_1(X235,u1_struct_0(X233),u1_struct_0(X234))
| ~ v2_funct_1(X235)
| m3_vectsp_8(k3_latsubgr(X233,X234,X235),k11_group_4(X233),k11_group_4(X234)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_37,plain,
( m1_lattice4(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_38,negated_conjecture,
m4_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
v10_lattices(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_26]),c_0_28]),c_0_30])]),c_0_32]) ).
cnf(c_0_40,negated_conjecture,
v10_lattices(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_29]),c_0_31])]),c_0_33]) ).
cnf(c_0_41,negated_conjecture,
l3_lattices(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_28]),c_0_30])]),c_0_32]) ).
cnf(c_0_42,negated_conjecture,
l3_lattices(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_29]),c_0_31])]),c_0_33]) ).
cnf(c_0_43,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
v2_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,negated_conjecture,
( v3_struct_0(k11_group_4(esk1_0))
| v3_struct_0(k11_group_4(esk2_0))
| ~ m3_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
m3_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_22]),c_0_45]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]),c_0_33]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_49,negated_conjecture,
( v3_struct_0(k11_group_4(esk2_0))
| v3_struct_0(k11_group_4(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
v3_struct_0(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27]),c_0_29]),c_0_31])]),c_0_33]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_26]),c_0_28]),c_0_30])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP653+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.17/0.34 % Computer : n002.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 18:58:16 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.37/1.75 % Version : CSE_E---1.7
% 1.37/1.75 % Problem : theBenchmark.p
% 1.37/1.75 % SZS status Theorem for theBenchmark.p
% 1.37/1.75 % SZS output start CNFRefutation
% See solution above
% 1.37/1.75 % Total time : 1.375s
%------------------------------------------------------------------------------