%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG216+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:01:39 PM UTC 2026
% Result : Theorem 0.27s 0.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 23 unt; 0 def)
% Number of atoms : 287 ( 19 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 362 ( 127 ~; 105 |; 102 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_rmod_5,conjecture,
! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(t5_rmod_5,axiom,
! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
=> ( ( X4 != k1_rlvect_1(X2)
& X3 != k1_rlvect_1(X2) )
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(dt_l1_rlvect_1,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(dt_l3_vectsp_1,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l2_vectsp_1(X1)
& l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(dt_l1_vectsp_2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(dt_k1_rlvect_1,axiom,
! [X1] :
( l2_struct_0(X1)
=> m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(dt_l2_struct_0,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t6_rmod_5]) ).
fof(c_0_8,plain,
! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
=> ( ( X4 != k1_rlvect_1(X2)
& X3 != k1_rlvect_1(X2) )
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_rmod_5]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X78,X79,X80,X81] :
( ( ~ l3_vectsp_1(X78)
| ~ v8_vectsp_1(X78)
| ~ v7_vectsp_1(X78)
| ~ v6_vectsp_1(X78)
| ~ v4_group_1(X78)
| ~ v6_rlvect_1(X78)
| ~ v5_rlvect_1(X78)
| ~ v4_rlvect_1(X78)
| ~ v3_rlvect_1(X78)
| v3_struct_0(X78)
| ~ l1_vectsp_2(X79,X78)
| ~ v5_vectsp_2(X79,X78)
| ~ v6_rlvect_1(X79)
| ~ v5_rlvect_1(X79)
| ~ v4_rlvect_1(X79)
| ~ v3_rlvect_1(X79)
| v3_struct_0(X79)
| ~ m1_subset_1(X80,u1_struct_0(X79))
| ~ m1_subset_1(X81,u1_struct_0(X79))
| ~ v1_rmod_5(k8_rlvect_2(X79,X80,X81),X78,X79)
| k1_rlvect_1(X78) = k2_group_1(X78)
| X81 != k1_rlvect_1(X79) )
& ( ~ l3_vectsp_1(X78)
| ~ v8_vectsp_1(X78)
| ~ v7_vectsp_1(X78)
| ~ v6_vectsp_1(X78)
| ~ v4_group_1(X78)
| ~ v6_rlvect_1(X78)
| ~ v5_rlvect_1(X78)
| ~ v4_rlvect_1(X78)
| ~ v3_rlvect_1(X78)
| v3_struct_0(X78)
| ~ l1_vectsp_2(X79,X78)
| ~ v5_vectsp_2(X79,X78)
| ~ v6_rlvect_1(X79)
| ~ v5_rlvect_1(X79)
| ~ v4_rlvect_1(X79)
| ~ v3_rlvect_1(X79)
| v3_struct_0(X79)
| ~ m1_subset_1(X80,u1_struct_0(X79))
| ~ m1_subset_1(X81,u1_struct_0(X79))
| ~ v1_rmod_5(k8_rlvect_2(X79,X80,X81),X78,X79)
| k1_rlvect_1(X78) = k2_group_1(X78)
| X80 != k1_rlvect_1(X79) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_11,negated_conjecture,
( ( v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0) )
& k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk2_0))
& l1_vectsp_2(esk2_0,esk1_0)
& v5_vectsp_2(esk2_0,esk1_0)
& v6_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v3_rlvect_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v4_group_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v3_rlvect_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_12,plain,
( ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X1,X4),X3,X2)
| X1 != k1_rlvect_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k1_rlvect_1(X3) = k2_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,negated_conjecture,
k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_33,plain,
! [X46] :
( l2_struct_0(X46)
| ~ l1_rlvect_1(X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])]) ).
fof(c_0_34,plain,
! [X77] :
( ( ~ l3_vectsp_1(X77)
| l2_vectsp_1(X77) )
& ( ~ l3_vectsp_1(X77)
| l1_rlvect_1(X77) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1])])])]) ).
fof(c_0_35,plain,
! [X75,X76] :
( l1_rlvect_1(X76)
| ~ l1_vectsp_2(X76,X75)
| ~ l1_struct_0(X75) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_2])])])]) ).
cnf(c_0_36,plain,
( ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X4,X1),X3,X2)
| X1 != k1_rlvect_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k1_rlvect_1(X3) = k2_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
( ~ m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0))
| v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[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(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_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),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]) ).
fof(c_0_38,plain,
! [X70] :
( m1_subset_1(k1_rlvect_1(X70),u1_struct_0(X70))
| ~ l2_struct_0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_rlvect_1])])]) ).
fof(c_0_39,plain,
! [X47] :
( l1_struct_0(X47)
| ~ l2_struct_0(X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])]) ).
cnf(c_0_40,plain,
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( ~ l3_vectsp_1(X1)
| l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( ~ l1_vectsp_2(X2,X1)
| ~ l1_struct_0(X1)
| l1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
~ m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[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(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_36,c_0_37]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),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]) ).
cnf(c_0_44,plain,
( ~ l2_struct_0(X1)
| m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( ~ l3_vectsp_1(X1)
| l2_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| l1_rlvect_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_48,negated_conjecture,
~ l2_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( ~ l3_vectsp_1(X1)
| l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_47]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_17]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG216+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 13:05:51 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.53 Running first-order theorem proving
% 0.27/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.27/0.62 % Version: 3.5.1
% 0.27/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.62 % Starting sh5l with 300s (1) cores
% 0.27/0.62 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1523717 completed with status 0
% 0.27/0.62 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.27/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.62 % No SInE strategy applied
% 0.27/0.62 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.27/0.62 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.27/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.27/0.62 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.27/0.62 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.27/0.62 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 1523724 completed with status 0
% 0.27/0.62 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.27/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.62 % No SInE strategy applied
% 0.27/0.62 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.27/0.62 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.27/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.27/0.62 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.27/0.62 % Preprocessing time : 0.008 s
% 0.27/0.62
% 0.27/0.62 % Proof found!
% 0.27/0.62 % SZS status Theorem
% 0.27/0.62 % SZS output start CNFRefutation
% See solution above
% 0.27/0.62 % Parsed axioms : 53
% 0.27/0.62 % Removed by relevancy pruning/SinE : 0
% 0.27/0.62 % Initial clauses : 85
% 0.27/0.62 % Removed in clause preprocessing : 6
% 0.27/0.62 % Initial clauses in saturation : 79
% 0.27/0.62 % Processed clauses : 127
% 0.27/0.62 % ...of these trivial : 1
% 0.27/0.62 % ...subsumed : 11
% 0.27/0.62 % ...remaining for further processing : 115
% 0.27/0.62 % Other redundant clauses eliminated : 0
% 0.27/0.62 % Clauses deleted for lack of memory : 0
% 0.27/0.62 % Backward-subsumed : 2
% 0.27/0.62 % Backward-rewritten : 3
% 0.27/0.62 % Generated clauses : 96
% 0.27/0.62 % ...of the previous two non-redundant : 89
% 0.27/0.62 % ...aggressively subsumed : 0
% 0.27/0.62 % Contextual simplify-reflections : 0
% 0.27/0.62 % Paramodulations : 96
% 0.27/0.62 % Factorizations : 0
% 0.27/0.62 % NegExts : 0
% 0.27/0.62 % Equation resolutions : 0
% 0.27/0.62 % Disequality decompositions : 0
% 0.27/0.62 % Total rewrite steps : 75
% 0.27/0.62 % ...of those cached : 54
% 0.27/0.62 % Propositional unsat checks : 0
% 0.27/0.62 % Propositional check models : 0
% 0.27/0.62 % Propositional check unsatisfiable : 0
% 0.27/0.62 % Propositional clauses : 0
% 0.27/0.62 % Propositional clauses after purity: 0
% 0.27/0.62 % Propositional unsat core size : 0
% 0.27/0.62 % Propositional preprocessing time : 0.000
% 0.27/0.62 % Propositional encoding time : 0.000
% 0.27/0.62 % Propositional solver time : 0.000
% 0.27/0.62 % Success case prop preproc time : 0.000
% 0.27/0.62 % Success case prop encoding time : 0.000
% 0.27/0.62 % Success case prop solver time : 0.000
% 0.27/0.62 % Current number of processed clauses : 110
% 0.27/0.62 % Positive orientable unit clauses : 42
% 0.27/0.62 % Positive unorientable unit clauses: 1
% 0.27/0.62 % Negative unit clauses : 12
% 0.27/0.62 % Non-unit-clauses : 55
% 0.27/0.62 % Current number of unprocessed clauses: 35
% 0.27/0.62 % ...number of literals in the above : 261
% 0.27/0.62 % Current number of archived formulas : 0
% 0.27/0.62 % Current number of archived clauses : 5
% 0.27/0.62 % Clause-clause subsumption calls (NU) : 2119
% 0.27/0.62 % Rec. Clause-clause subsumption calls : 536
% 0.27/0.62 % Non-unit clause-clause subsumptions : 6
% 0.27/0.62 % Unit Clause-clause subsumption calls : 332
% 0.27/0.62 % Rewrite failures with RHS unbound : 0
% 0.27/0.62 % BW rewrite match attempts : 12
% 0.27/0.62 % BW rewrite match successes : 4
% 0.27/0.62 % Condensation attempts : 0
% 0.27/0.62 % Condensation successes : 0
% 0.27/0.62 % Termbank termtop insertions : 6834
% 0.27/0.62 % Search garbage collected termcells : 976
% 0.27/0.62
% 0.27/0.62 % -------------------------------------------------
% 0.27/0.62 % User time : 0.028 s
% 0.27/0.62 % System time : 0.007 s
% 0.27/0.62 % Total time : 0.035 s
% 0.27/0.62 % Maximum resident set size: 3424 pages
% 0.27/0.62
% 0.27/0.62 % -------------------------------------------------
% 0.27/0.62 % User time : 0.107 s
% 0.27/0.62 % System time : 0.028 s
% 0.27/0.62 % Total time : 0.135 s
% 0.27/0.62 % Maximum resident set size: 4608 pages
% 0.27/0.62 % E exiting
%------------------------------------------------------------------------------