%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG222+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:55:39 AM UTC 2026
% Result : Theorem 51.27s 9.26s
% Output : CNFRefutation 51.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 34 unt; 0 def)
% Number of atoms : 490 ( 6 equ)
% Maximal formula atoms : 44 ( 7 avg)
% Number of connectives : 637 ( 216 ~; 192 |; 190 &)
% ( 1 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 106 ( 4 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_rmod_5,conjecture,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(t24_rmod_3,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_rmod_2(X3,X1,X2)
=> ! [X4] :
( m1_rmod_2(X4,X1,X2)
=> ! [X5] :
( m1_rmod_2(X5,X1,X2)
=> ( ( m1_rmod_2(X3,X1,X5)
& m1_rmod_2(X3,X1,X4) )
=> m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+279.ax',t24_rmod_3) ).
fof(t15_rmod_5,axiom,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(dt_k1_rmod_5,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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)
& l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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) )
=> ( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
& v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X1,X2) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t17_xboole_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
inference(assume_negation,[status(cth)],[t18_rmod_5]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_11,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_rmod_2(X3,X1,X2)
=> ! [X4] :
( m1_rmod_2(X4,X1,X2)
=> ! [X5] :
( m1_rmod_2(X5,X1,X2)
=> ( ( m1_rmod_2(X3,X1,X5)
& m1_rmod_2(X3,X1,X4) )
=> m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t24_rmod_3]) ).
fof(c_0_12,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& m1_subset_1(esk3_0,k1_zfmisc_1(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)
& v2_vectsp_2(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_group_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_10])])])]) ).
fof(c_0_13,plain,
! [X178,X179,X180,X181,X182] :
( m1_rmod_2(X180,X178,k2_rmod_3(X178,X179,X181,X182))
| ~ m1_rmod_2(X180,X178,X182)
| ~ m1_rmod_2(X180,X178,X181)
| ~ m1_rmod_2(X182,X178,X179)
| ~ m1_rmod_2(X181,X178,X179)
| ~ m1_rmod_2(X180,X178,X179)
| ~ l1_vectsp_2(X179,X178)
| ~ v5_vectsp_2(X179,X178)
| ~ v6_rlvect_1(X179)
| ~ v5_rlvect_1(X179)
| ~ v4_rlvect_1(X179)
| ~ v3_rlvect_1(X179)
| v3_struct_0(X179)
| ~ l3_vectsp_1(X178)
| ~ v8_vectsp_1(X178)
| ~ v7_vectsp_1(X178)
| ~ v6_vectsp_1(X178)
| ~ v4_group_1(X178)
| ~ v6_rlvect_1(X178)
| ~ v5_rlvect_1(X178)
| ~ v4_rlvect_1(X178)
| ~ v3_rlvect_1(X178)
| v3_struct_0(X178) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_14,plain,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_rmod_5]) ).
cnf(c_0_15,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ m1_rmod_2(X3,X1,X5)
| ~ m1_rmod_2(X3,X1,X4)
| ~ m1_rmod_2(X5,X1,X2)
| ~ m1_rmod_2(X4,X1,X2)
| ~ m1_rmod_2(X3,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)
| ~ 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)
| m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_34,plain,
! [X253,X254,X255,X256] :
( m1_rmod_2(k1_rmod_5(X253,X254,X255),X253,k1_rmod_5(X253,X254,X256))
| ~ r1_tarski(X255,X256)
| ~ m1_subset_1(X256,k1_zfmisc_1(u1_struct_0(X254)))
| ~ m1_subset_1(X255,k1_zfmisc_1(u1_struct_0(X254)))
| ~ l1_vectsp_2(X254,X253)
| ~ v5_vectsp_2(X254,X253)
| ~ v6_rlvect_1(X254)
| ~ v5_rlvect_1(X254)
| ~ v4_rlvect_1(X254)
| ~ v3_rlvect_1(X254)
| v3_struct_0(X254)
| ~ l3_vectsp_1(X253)
| ~ v2_vectsp_2(X253)
| v10_vectsp_1(X253)
| ~ v8_vectsp_1(X253)
| ~ v7_vectsp_1(X253)
| ~ v6_vectsp_1(X253)
| ~ v7_group_1(X253)
| ~ v4_group_1(X253)
| ~ v6_rlvect_1(X253)
| ~ v5_rlvect_1(X253)
| ~ v4_rlvect_1(X253)
| ~ v3_rlvect_1(X253)
| v3_struct_0(X253) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk4_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(rw,[status(thm)],[inference(spm,[status(thm)],[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]),c_0_33]) ).
cnf(c_0_36,plain,
( ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_41,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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)
& l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_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) )
=> ( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
& v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_rmod_5]) ).
cnf(c_0_42,negated_conjecture,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_17]),c_0_18]),c_0_37]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_38]),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_39])]),c_0_40]),c_0_32]),c_0_33]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_44,plain,
! [X228,X229,X230] :
( ( ~ m1_subset_1(X230,k1_zfmisc_1(u1_struct_0(X229)))
| ~ l1_vectsp_2(X229,X228)
| ~ v5_vectsp_2(X229,X228)
| ~ v6_rlvect_1(X229)
| ~ v5_rlvect_1(X229)
| ~ v4_rlvect_1(X229)
| ~ v3_rlvect_1(X229)
| v3_struct_0(X229)
| ~ l3_vectsp_1(X228)
| ~ v2_vectsp_2(X228)
| v10_vectsp_1(X228)
| ~ v8_vectsp_1(X228)
| ~ v7_vectsp_1(X228)
| ~ v6_vectsp_1(X228)
| ~ v7_group_1(X228)
| ~ v4_group_1(X228)
| ~ v6_rlvect_1(X228)
| ~ v5_rlvect_1(X228)
| ~ v4_rlvect_1(X228)
| ~ v3_rlvect_1(X228)
| v3_struct_0(X228)
| m1_rmod_2(k1_rmod_5(X228,X229,X230),X228,X229) )
& ( ~ m1_subset_1(X230,k1_zfmisc_1(u1_struct_0(X229)))
| ~ l1_vectsp_2(X229,X228)
| ~ v5_vectsp_2(X229,X228)
| ~ v6_rlvect_1(X229)
| ~ v5_rlvect_1(X229)
| ~ v4_rlvect_1(X229)
| ~ v3_rlvect_1(X229)
| v3_struct_0(X229)
| ~ l3_vectsp_1(X228)
| ~ v2_vectsp_2(X228)
| v10_vectsp_1(X228)
| ~ v8_vectsp_1(X228)
| ~ v7_vectsp_1(X228)
| ~ v6_vectsp_1(X228)
| ~ v7_group_1(X228)
| ~ v4_group_1(X228)
| ~ v6_rlvect_1(X228)
| ~ v5_rlvect_1(X228)
| ~ v4_rlvect_1(X228)
| ~ v3_rlvect_1(X228)
| v3_struct_0(X228)
| v3_vectsp_2(k1_rmod_5(X228,X229,X230),X228) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_36]),c_0_17]),c_0_18]),c_0_37]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_38]),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_43])]),c_0_40]),c_0_32]),c_0_33]) ).
cnf(c_0_46,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_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(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_47,plain,
! [X499,X500,X501] :
( r1_tarski(X499,X501)
| ~ r1_tarski(X500,X501)
| ~ r1_tarski(X499,X500) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])]) ).
fof(c_0_48,plain,
! [X519,X520] :
( ( m1_subset_1(X519,k1_zfmisc_1(X520))
| ~ r1_tarski(X519,X520) )
& ( r1_tarski(X519,X520)
| ~ m1_subset_1(X519,k1_zfmisc_1(X520)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_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_45,c_0_46]),c_0_17]),c_0_18]),c_0_37]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_38]),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_40]),c_0_32]),c_0_33]) ).
cnf(c_0_50,plain,
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_52,plain,
! [X801,X802] : r1_tarski(k3_xboole_0(X801,X802),X801),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_53,plain,
! [X794,X795] : k3_xboole_0(X794,X795) = k3_xboole_0(X795,X794),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_54,negated_conjecture,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_17]),c_0_18]),c_0_37]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_38]),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_39])]),c_0_40]),c_0_32]),c_0_33]) ).
fof(c_0_55,plain,
! [X279,X280,X281] :
( k5_subset_1(X279,X280,X281) = k3_xboole_0(X280,X281)
| ~ m1_subset_1(X281,k1_zfmisc_1(X279))
| ~ m1_subset_1(X280,k1_zfmisc_1(X279)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])]) ).
cnf(c_0_56,plain,
( ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_46]),c_0_17]),c_0_18]),c_0_37]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_38]),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_43])]),c_0_40]),c_0_32]),c_0_33]) ).
cnf(c_0_60,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ r1_tarski(X1,esk4_0)
| r1_tarski(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_39]) ).
cnf(c_0_62,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( ~ r1_tarski(k3_xboole_0(esk3_0,esk4_0),esk4_0)
| ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_57]),c_0_39]),c_0_43])]) ).
cnf(c_0_64,plain,
( ~ r1_tarski(X1,X2)
| m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_65,negated_conjecture,
r1_tarski(k3_xboole_0(X1,esk4_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_62])]) ).
cnf(c_0_67,negated_conjecture,
m1_subset_1(k3_xboole_0(X1,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG222+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.57 % Computer : n014.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 13:05:01 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 51.27/9.26 % Version: 3.5.1
% 51.27/9.26 % Preprocessing class: FMLLSLLLSSSNFFN.
% 51.27/9.26 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 51.27/9.26 % Starting new_ho_10 with 598s (2) cores
% 51.27/9.26 % Starting sh3 with 598s (2) cores
% 51.27/9.26 % Starting ho_unfolding_3 with 598s (2) cores
% 51.27/9.26 % Starting new_ho_10_cnf2 with 598s (2) cores
% 51.27/9.26 % sh3 with pid 4128449 completed with status 0
% 51.27/9.26 % Result found by sh3
% 51.27/9.26 % Preprocessing class: FMLLSLLLSSSNFFN.
% 51.27/9.26 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 51.27/9.26 % Starting new_ho_10 with 598s (2) cores
% 51.27/9.26 % Starting sh3 with 598s (2) cores
% 51.27/9.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.27/9.26 % SinE strategy is gf120_h_gu_RUU_F100_L01000
% 51.27/9.26 % Search class: FGHSM-SMLM32-MFFFFFNN
% 51.27/9.26 % Scheduled 13 strats onto 2 cores with 598 seconds (598 total)
% 51.27/9.26 % Starting SubtermCWHack with 54s (1) cores
% 51.27/9.26 % Starting sh3 with 60s (1) cores
% 51.27/9.26 % sh3 with pid 4128455 completed with status 0
% 51.27/9.26 % Result found by sh3
% 51.27/9.26 % Preprocessing class: FMLLSLLLSSSNFFN.
% 51.27/9.26 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 51.27/9.26 % Starting new_ho_10 with 598s (2) cores
% 51.27/9.26 % Starting sh3 with 598s (2) cores
% 51.27/9.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.27/9.26 % SinE strategy is gf120_h_gu_RUU_F100_L01000
% 51.27/9.26 % Search class: FGHSM-SMLM32-MFFFFFNN
% 51.27/9.26 % Scheduled 13 strats onto 2 cores with 598 seconds (598 total)
% 51.27/9.26 % Starting SubtermCWHack with 54s (1) cores
% 51.27/9.26 % Starting sh3 with 60s (1) cores
% 51.27/9.26 % Preprocessing time : 0.092 s
% 51.27/9.26 % Presaturation interreduction done
% 51.27/9.26
% 51.27/9.26 % Proof found!
% 51.27/9.26 % SZS status Theorem
% 51.27/9.26 % SZS output start CNFRefutation
% See solution above
% 51.27/9.27 % Parsed axioms : 24518
% 51.27/9.27 % Removed by relevancy pruning/SinE : 23517
% 51.27/9.27 % Initial clauses : 1995
% 51.27/9.27 % Removed in clause preprocessing : 87
% 51.27/9.27 % Initial clauses in saturation : 1908
% 51.27/9.27 % Processed clauses : 12976
% 51.27/9.27 % ...of these trivial : 117
% 51.27/9.27 % ...subsumed : 7270
% 51.27/9.27 % ...remaining for further processing : 5589
% 51.27/9.27 % Other redundant clauses eliminated : 662
% 51.27/9.27 % Clauses deleted for lack of memory : 0
% 51.27/9.27 % Backward-subsumed : 92
% 51.27/9.27 % Backward-rewritten : 53
% 51.27/9.27 % Generated clauses : 83185
% 51.27/9.27 % ...of the previous two non-redundant : 74412
% 51.27/9.27 % ...aggressively subsumed : 0
% 51.27/9.27 % Contextual simplify-reflections : 131
% 51.27/9.27 % Paramodulations : 82494
% 51.27/9.27 % Factorizations : 19
% 51.27/9.27 % NegExts : 0
% 51.27/9.27 % Equation resolutions : 684
% 51.27/9.27 % Disequality decompositions : 0
% 51.27/9.27 % Total rewrite steps : 23397
% 51.27/9.27 % ...of those cached : 20054
% 51.27/9.27 % Propositional unsat checks : 1
% 51.27/9.27 % Propositional check models : 0
% 51.27/9.27 % Propositional check unsatisfiable : 0
% 51.27/9.27 % Propositional clauses : 0
% 51.27/9.27 % Propositional clauses after purity: 0
% 51.27/9.27 % Propositional unsat core size : 0
% 51.27/9.27 % Propositional preprocessing time : 0.000
% 51.27/9.27 % Propositional encoding time : 0.141
% 51.27/9.27 % Propositional solver time : 0.107
% 51.27/9.27 % Success case prop preproc time : 0.000
% 51.27/9.27 % Success case prop encoding time : 0.000
% 51.27/9.27 % Success case prop solver time : 0.000
% 51.27/9.27 % Current number of processed clauses : 3505
% 51.27/9.27 % Positive orientable unit clauses : 398
% 51.27/9.27 % Positive unorientable unit clauses: 7
% 51.27/9.27 % Negative unit clauses : 409
% 51.27/9.27 % Non-unit-clauses : 2691
% 51.27/9.27 % Current number of unprocessed clauses: 64936
% 51.27/9.27 % ...number of literals in the above : 393979
% 51.27/9.27 % Current number of archived formulas : 0
% 51.27/9.27 % Current number of archived clauses : 1945
% 51.27/9.27 % Clause-clause subsumption calls (NU) : 7975645
% 51.27/9.27 % Rec. Clause-clause subsumption calls : 472133
% 51.27/9.27 % Non-unit clause-clause subsumptions : 2281
% 51.27/9.27 % Unit Clause-clause subsumption calls : 249503
% 51.27/9.27 % Rewrite failures with RHS unbound : 0
% 51.27/9.27 % BW rewrite match attempts : 477
% 51.27/9.27 % BW rewrite match successes : 255
% 51.27/9.27 % Condensation attempts : 0
% 51.27/9.27 % Condensation successes : 0
% 51.27/9.27 % Termbank termtop insertions : 2962002
% 51.27/9.27 % Search garbage collected termcells : 265906
% 51.27/9.27
% 51.27/9.27 % -------------------------------------------------
% 51.27/9.27 % User time : 7.057 s
% 51.27/9.27 % System time : 0.217 s
% 51.27/9.27 % Total time : 7.274 s
% 51.27/9.27 % Maximum resident set size: 48464 pages
% 51.27/9.27
% 51.27/9.27 % -------------------------------------------------
% 51.27/9.27 % User time : 14.903 s
% 51.27/9.27 % System time : 0.433 s
% 51.27/9.27 % Total time : 15.335 s
% 51.27/9.27 % Maximum resident set size: 39680 pages
% 51.27/9.27 % E exiting
%------------------------------------------------------------------------------