%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG219+4 : 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 : n014.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 04:08:17 PM UTC 2026
% Result : Theorem 36.36s 29.61s
% Output : CNFRefutation 36.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 33 unt; 0 def)
% Number of atoms : 366 ( 38 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 464 ( 152 ~; 150 |; 135 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( ( v3_vectsp_2(X4,X1)
& m1_rmod_2(X4,X1,X2) )
=> ( X3 = u1_struct_0(X4)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_rmod_5) ).
fof(d21_vectsp_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_vectsp_1(X1) )
=> ( v10_vectsp_1(X1)
<=> k1_rlvect_1(X1) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',d21_vectsp_1) ).
fof(t14_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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_rmod_5) ).
fof(dt_l3_vectsp_1,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',dt_l3_vectsp_1) ).
fof(t32_rmod_2,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) )
=> m1_rmod_2(X2,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+278.ax',t32_rmod_2) ).
fof(dt_k2_subset_1,axiom,
! [X1] : m1_subset_1(k2_subset_1(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k2_subset_1) ).
fof(d4_subset_1,axiom,
! [X1] : k2_subset_1(X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d4_subset_1) ).
fof(c_0_7,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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( ( v3_vectsp_2(X4,X1)
& m1_rmod_2(X4,X1,X2) )
=> ( X3 = u1_struct_0(X4)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X4 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t13_rmod_5]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_vectsp_1(X1) )
=> ( v10_vectsp_1(X1)
<=> k1_rlvect_1(X1) = k2_group_1(X1) ) ),
inference(fof_simplification,[status(thm)],[d21_vectsp_1]) ).
fof(c_0_9,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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t14_rmod_5])]) ).
fof(c_0_10,plain,
! [X3171,X3172,X3173,X3174] :
( v3_struct_0(X3171)
| ~ v3_rlvect_1(X3171)
| ~ v4_rlvect_1(X3171)
| ~ v5_rlvect_1(X3171)
| ~ v6_rlvect_1(X3171)
| ~ v4_group_1(X3171)
| ~ v7_group_1(X3171)
| ~ v6_vectsp_1(X3171)
| ~ v7_vectsp_1(X3171)
| ~ v8_vectsp_1(X3171)
| v10_vectsp_1(X3171)
| ~ v2_vectsp_2(X3171)
| ~ l3_vectsp_1(X3171)
| v3_struct_0(X3172)
| ~ v3_rlvect_1(X3172)
| ~ v4_rlvect_1(X3172)
| ~ v5_rlvect_1(X3172)
| ~ v6_rlvect_1(X3172)
| ~ v5_vectsp_2(X3172,X3171)
| ~ l1_vectsp_2(X3172,X3171)
| ~ m1_subset_1(X3173,k1_zfmisc_1(u1_struct_0(X3172)))
| ~ v3_vectsp_2(X3174,X3171)
| ~ m1_rmod_2(X3174,X3171,X3172)
| X3173 != u1_struct_0(X3174)
| k1_rlvect_1(X3171) = k2_group_1(X3171)
| k1_rmod_5(X3171,X3172,X3173) = X3174 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X3792] :
( ( ~ v10_vectsp_1(X3792)
| k1_rlvect_1(X3792) = k2_group_1(X3792)
| v3_struct_0(X3792)
| ~ l2_vectsp_1(X3792) )
& ( k1_rlvect_1(X3792) != k2_group_1(X3792)
| v10_vectsp_1(X3792)
| v3_struct_0(X3792)
| ~ l2_vectsp_1(X3792) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X3795] :
( ( l1_rlvect_1(X3795)
| ~ l3_vectsp_1(X3795) )
& ( l2_vectsp_1(X3795)
| ~ l3_vectsp_1(X3795) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1])])]) ).
fof(c_0_13,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) )
=> m1_rmod_2(X2,X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t32_rmod_2]) ).
fof(c_0_14,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)
& v7_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v2_vectsp_2(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)
& v3_vectsp_2(esk2_0,esk1_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& esk3_0 = u1_struct_0(esk2_0)
& k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
& k1_rmod_5(esk1_0,esk2_0,esk3_0) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_15,plain,
( v3_struct_0(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X4
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_vectsp_2(X4,X1)
| ~ m1_rmod_2(X4,X1,X2)
| X3 != u1_struct_0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( k1_rlvect_1(X1) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v10_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X3334,X3335] :
( v3_struct_0(X3334)
| ~ v3_rlvect_1(X3334)
| ~ v4_rlvect_1(X3334)
| ~ v5_rlvect_1(X3334)
| ~ v6_rlvect_1(X3334)
| ~ v4_group_1(X3334)
| ~ v6_vectsp_1(X3334)
| ~ v7_vectsp_1(X3334)
| ~ v8_vectsp_1(X3334)
| ~ l3_vectsp_1(X3334)
| v3_struct_0(X3335)
| ~ v3_rlvect_1(X3335)
| ~ v4_rlvect_1(X3335)
| ~ v5_rlvect_1(X3335)
| ~ v6_rlvect_1(X3335)
| ~ v5_vectsp_2(X3335,X3334)
| ~ l1_vectsp_2(X3335,X3334)
| m1_rmod_2(X3335,X3334,X3335) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_19,plain,
! [X4806] : m1_subset_1(k2_subset_1(X4806),k1_zfmisc_1(X4806)),
inference(variable_rename,[status(thm)],[dt_k2_subset_1]) ).
fof(c_0_20,plain,
! [X4799] : k2_subset_1(X4799) = X4799,
inference(variable_rename,[status(thm)],[d4_subset_1]) ).
cnf(c_0_21,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
esk3_0 = u1_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( k1_rmod_5(X1,X2,u1_struct_0(X3)) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v5_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X3,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v10_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X2,X1,X2)
| ~ 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)
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_35,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_40,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
m1_subset_1(k2_subset_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44,plain,
k2_subset_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,u1_struct_0(esk2_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_46,plain,
( k1_rmod_5(X1,X2,u1_struct_0(X3)) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v5_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X3,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_47,negated_conjecture,
m1_rmod_2(esk2_0,esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[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]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_51,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_53,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_26]),c_0_48]),c_0_27]),c_0_49]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_50]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_51])]),c_0_52]),c_0_42]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG219+4 : 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
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 10:25:25 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 36.36/29.61 % Version : CSE_E---1.7
% 36.36/29.61 % Problem : theBenchmark.p
% 36.36/29.61 % SZS status Theorem for theBenchmark.p
% 36.36/29.61 % SZS output start CNFRefutation
% See solution above
% 36.36/29.64 % Total time : 28.018s
%------------------------------------------------------------------------------