TSTP Solution File: ALG216+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 : Wed Aug 30 16:06:42 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 59
% Syntax : Number of formulae : 105 ( 25 unt; 52 typ; 0 def)
% Number of atoms : 306 ( 20 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 405 ( 152 ~; 143 |; 86 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 37 >; 10 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v3_rlvect_1: $i > $o ).
tff(decl_24,type,
v4_rlvect_1: $i > $o ).
tff(decl_25,type,
v5_rlvect_1: $i > $o ).
tff(decl_26,type,
v6_rlvect_1: $i > $o ).
tff(decl_27,type,
v4_group_1: $i > $o ).
tff(decl_28,type,
v6_vectsp_1: $i > $o ).
tff(decl_29,type,
v7_vectsp_1: $i > $o ).
tff(decl_30,type,
v8_vectsp_1: $i > $o ).
tff(decl_31,type,
l3_vectsp_1: $i > $o ).
tff(decl_32,type,
v5_vectsp_2: ( $i * $i ) > $o ).
tff(decl_33,type,
l1_vectsp_2: ( $i * $i ) > $o ).
tff(decl_34,type,
u1_struct_0: $i > $i ).
tff(decl_35,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_36,type,
k1_rlvect_1: $i > $i ).
tff(decl_37,type,
k2_group_1: $i > $i ).
tff(decl_38,type,
k8_rlvect_2: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
v1_rmod_5: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_41,type,
k1_xboole_0: $i ).
tff(decl_42,type,
v1_xboole_0: $i > $o ).
tff(decl_43,type,
k1_zfmisc_1: $i > $i ).
tff(decl_44,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_45,type,
l1_vectsp_1: $i > $o ).
tff(decl_46,type,
l1_group_1: $i > $o ).
tff(decl_47,type,
l1_struct_0: $i > $o ).
tff(decl_48,type,
v1_finset_1: $i > $o ).
tff(decl_49,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_50,type,
l1_rlvect_1: $i > $o ).
tff(decl_51,type,
l2_struct_0: $i > $o ).
tff(decl_52,type,
l2_vectsp_1: $i > $o ).
tff(decl_53,type,
esk1_0: $i ).
tff(decl_54,type,
esk2_0: $i ).
tff(decl_55,type,
esk3_0: $i ).
tff(decl_56,type,
esk4_0: $i ).
tff(decl_57,type,
esk5_1: $i > $i ).
tff(decl_58,type,
esk6_0: $i ).
tff(decl_59,type,
esk7_1: $i > $i ).
tff(decl_60,type,
esk8_1: $i > $i ).
tff(decl_61,type,
esk9_0: $i ).
tff(decl_62,type,
esk10_1: $i > $i ).
tff(decl_63,type,
esk11_0: $i ).
tff(decl_64,type,
esk12_0: $i ).
tff(decl_65,type,
esk13_0: $i ).
tff(decl_66,type,
esk14_0: $i ).
tff(decl_67,type,
esk15_0: $i ).
tff(decl_68,type,
esk16_0: $i ).
tff(decl_69,type,
esk17_0: $i ).
tff(decl_70,type,
esk18_1: $i > $i ).
tff(decl_71,type,
esk19_1: $i > $i ).
tff(decl_72,type,
esk20_0: $i ).
tff(decl_73,type,
esk21_1: $i > $i ).
fof(dt_l1_rlvect_1,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(dt_l3_vectsp_1,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(dt_l2_struct_0,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(t6_rmod_5,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(dt_l1_vectsp_2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(t5_rmod_5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [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)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_rmod_5) ).
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/sandbox/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(c_0_7,plain,
! [X46] :
( ~ l1_rlvect_1(X46)
| l2_struct_0(X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])]) ).
fof(c_0_8,plain,
! [X77] :
( ( l1_rlvect_1(X77)
| ~ l3_vectsp_1(X77) )
& ( l2_vectsp_1(X77)
| ~ l3_vectsp_1(X77) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1])])]) ).
fof(c_0_9,plain,
! [X47] :
( ~ l2_struct_0(X47)
| l1_struct_0(X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])]) ).
cnf(c_0_10,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_rmod_5])]) ).
cnf(c_0_13,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v4_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& l3_vectsp_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v6_rlvect_1(esk2_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk2_0))
& k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
& ( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,plain,
! [X75,X76] :
( ~ l1_struct_0(X75)
| ~ l1_vectsp_2(X76,X75)
| l1_rlvect_1(X76) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_2])])]) ).
cnf(c_0_17,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [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)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_rmod_5]) ).
cnf(c_0_20,plain,
( l1_rlvect_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_23,plain,
! [X78,X79,X80,X81] :
( ( X80 != k1_rlvect_1(X79)
| k1_rlvect_1(X78) = k2_group_1(X78)
| ~ v1_rmod_5(k8_rlvect_2(X79,X80,X81),X78,X79)
| ~ m1_subset_1(X81,u1_struct_0(X79))
| ~ m1_subset_1(X80,u1_struct_0(X79))
| v3_struct_0(X79)
| ~ v3_rlvect_1(X79)
| ~ v4_rlvect_1(X79)
| ~ v5_rlvect_1(X79)
| ~ v6_rlvect_1(X79)
| ~ v5_vectsp_2(X79,X78)
| ~ l1_vectsp_2(X79,X78)
| v3_struct_0(X78)
| ~ v3_rlvect_1(X78)
| ~ v4_rlvect_1(X78)
| ~ v5_rlvect_1(X78)
| ~ v6_rlvect_1(X78)
| ~ v4_group_1(X78)
| ~ v6_vectsp_1(X78)
| ~ v7_vectsp_1(X78)
| ~ v8_vectsp_1(X78)
| ~ l3_vectsp_1(X78) )
& ( X81 != k1_rlvect_1(X79)
| k1_rlvect_1(X78) = k2_group_1(X78)
| ~ v1_rmod_5(k8_rlvect_2(X79,X80,X81),X78,X79)
| ~ m1_subset_1(X81,u1_struct_0(X79))
| ~ m1_subset_1(X80,u1_struct_0(X79))
| v3_struct_0(X79)
| ~ v3_rlvect_1(X79)
| ~ v4_rlvect_1(X79)
| ~ v5_rlvect_1(X79)
| ~ v6_rlvect_1(X79)
| ~ v5_vectsp_2(X79,X78)
| ~ l1_vectsp_2(X79,X78)
| v3_struct_0(X78)
| ~ v3_rlvect_1(X78)
| ~ v4_rlvect_1(X78)
| ~ v5_rlvect_1(X78)
| ~ v6_rlvect_1(X78)
| ~ v4_group_1(X78)
| ~ v6_vectsp_1(X78)
| ~ v7_vectsp_1(X78)
| ~ v8_vectsp_1(X78)
| ~ l3_vectsp_1(X78) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_24,plain,
! [X70] :
( ~ l2_struct_0(X70)
| m1_subset_1(k1_rlvect_1(X70),u1_struct_0(X70)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_rlvect_1])]) ).
cnf(c_0_25,negated_conjecture,
l1_rlvect_1(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,plain,
( k1_rlvect_1(X3) = k2_group_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_rlvect_1(X2)
| ~ v1_rmod_5(k8_rlvect_2(X2,X1,X4),X3,X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
l2_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_10,c_0_25]) ).
cnf(c_0_29,plain,
( k1_rlvect_1(X3) = k2_group_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_rlvect_1(X2)
| ~ v1_rmod_5(k8_rlvect_2(X2,X4,X1),X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2)
| ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,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)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_36,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_37,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_38,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_40,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_41,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_42,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_44,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_45,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,negated_conjecture,
k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_48,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_49,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_50,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
| ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,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)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_51,negated_conjecture,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_21]),c_0_34]),c_0_18]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_32]),c_0_33]),c_0_21]),c_0_34]),c_0_18]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]),c_0_48]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 05:58:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.61 % Total time : 0.025000 s
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time : 0.029000 s
%------------------------------------------------------------------------------