%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP029+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 : 600s
% DateTime : Thu Jul 21 21:25:30 EDT 2022
% Result : Theorem 0.23s 2.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 9 unt; 0 def)
% Number of atoms : 385 ( 9 equ)
% Maximal formula atoms : 35 ( 5 avg)
% Number of connectives : 555 ( 237 ~; 242 |; 48 &)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 118 ( 3 sgn 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_pre_topc(X3)
& m2_tsp_1(X3,X1)
& m2_tsp_1(X2,X3)
& v2_tsp_2(X3,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t13_tsp_2) ).
fof(t12_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ ( v1_tsp_2(X2,X1)
& ! [X3] :
( ( ~ v3_struct_0(X3)
& v1_pre_topc(X3)
& m2_tsp_1(X3,X1) )
=> ~ ( v2_tsp_2(X3,X1)
& X2 = u1_struct_0(X3) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t12_tsp_2) ).
fof(t4_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t4_tsp_2) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(t4_tsep_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> ! [X3] :
( m1_pre_topc(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
<=> m1_pre_topc(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t4_tsep_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t3_subset) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_tsp_1) ).
fof(t9_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t9_tsp_2) ).
fof(t15_tsp_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_1(X3,X1)
<=> v2_t_0topsp(X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t15_tsp_1) ).
fof(l19_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',l19_tsp_2) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_pre_topc(X3)
& m2_tsp_1(X3,X1)
& m2_tsp_1(X2,X3)
& v2_tsp_2(X3,X1) ) ) ),
inference(assume_negation,[status(cth)],[t13_tsp_2]) ).
fof(c_0_11,plain,
! [X4,X5] :
( ( ~ v3_struct_0(esk34_2(X4,X5))
| ~ v1_tsp_2(X5,X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v1_pre_topc(esk34_2(X4,X5))
| ~ v1_tsp_2(X5,X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( m2_tsp_1(esk34_2(X4,X5),X4)
| ~ v1_tsp_2(X5,X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v2_tsp_2(esk34_2(X4,X5),X4)
| ~ v1_tsp_2(X5,X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( X5 = u1_struct_0(esk34_2(X4,X5))
| ~ v1_tsp_2(X5,X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t12_tsp_2])])])])])])])]) ).
fof(c_0_12,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v1_tsp_2(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t4_tsp_2])])])])])]) ).
fof(c_0_13,negated_conjecture,
! [X6] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_t_0topsp(esk2_0)
& m2_tsp_1(esk2_0,esk1_0)
& ( ~ v1_pre_topc(X6)
| ~ m2_tsp_1(X6,esk1_0)
| ~ m2_tsp_1(esk2_0,X6)
| ~ v2_tsp_2(X6,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])])])]) ).
cnf(c_0_14,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_tsp_1(esk34_2(X1,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( v3_struct_0(X2)
| ~ v1_tsp_2(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ v2_tsp_2(X1,esk1_0)
| ~ m2_tsp_1(esk2_0,X1)
| ~ m2_tsp_1(X1,esk1_0)
| ~ v1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( m2_tsp_1(esk34_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X3,X4,X4] :
( ( ~ m2_tsp_1(X4,X3)
| m1_pre_topc(X4,X3)
| ~ l1_pre_topc(X3) )
& ( ~ m1_pre_topc(X4,X3)
| m2_tsp_1(X4,X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])])])]) ).
cnf(c_0_22,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v2_tsp_2(esk34_2(esk1_0,X1),esk1_0)
| ~ v1_pre_topc(esk34_2(esk1_0,X1))
| ~ m2_tsp_1(esk2_0,esk34_2(esk1_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_23,plain,
( m2_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v2_tsp_2(esk34_2(X1,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ( ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X6))
| m1_pre_topc(X5,X6)
| ~ m1_pre_topc(X6,X4)
| ~ m1_pre_topc(X5,X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( ~ m1_pre_topc(X5,X6)
| r1_tarski(u1_struct_0(X5),u1_struct_0(X6))
| ~ m1_pre_topc(X6,X4)
| ~ m1_pre_topc(X5,X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_tsep_1])])])])])]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| X2 = u1_struct_0(esk34_2(X1,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_pre_topc(esk2_0,esk34_2(esk1_0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v2_tsp_2(esk34_2(esk1_0,X1),esk1_0)
| ~ v1_pre_topc(esk34_2(esk1_0,X1))
| ~ l1_pre_topc(esk34_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( v2_tsp_2(esk34_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_pre_topc(esk34_2(X1,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,plain,
( m1_pre_topc(X2,X3)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X2,X1)
| ~ m1_pre_topc(X3,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( u1_struct_0(esk34_2(X1,X2)) = X2
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_32,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_pre_topc(esk2_0,esk34_2(esk1_0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_pre_topc(esk34_2(esk1_0,X1))
| ~ l1_pre_topc(esk34_2(esk1_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_34,plain,
( v1_pre_topc(esk34_2(X1,X2))
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_35,plain,
( m1_pre_topc(X1,esk34_2(X2,X3))
| v3_struct_0(X2)
| ~ v1_tsp_2(X3,X2)
| ~ r1_tarski(u1_struct_0(X1),X3)
| ~ m1_pre_topc(esk34_2(X2,X3),X4)
| ~ m1_pre_topc(X1,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X4)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X4)
| ~ v2_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( m1_pre_topc(esk34_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_37,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_pre_topc(esk2_0,esk34_2(esk1_0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_pre_topc(esk34_2(esk1_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_39,plain,
( m1_pre_topc(X1,esk34_2(X2,X3))
| v3_struct_0(X2)
| ~ v1_tsp_2(X3,X2)
| ~ r1_tarski(u1_struct_0(X1),X3)
| ~ m1_pre_topc(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_18])]) ).
fof(c_0_41,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_42,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m2_tsp_1(X4,X3)
| l1_pre_topc(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])])])]) ).
cnf(c_0_43,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ r1_tarski(u1_struct_0(esk2_0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_pre_topc(esk34_2(esk1_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_44,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(X1))
| ~ l1_pre_topc(esk34_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
( l1_pre_topc(esk34_2(X1,X2))
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_17]) ).
fof(c_0_48,plain,
! [X4,X5] :
( ( m1_subset_1(esk35_2(X4,X5),k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( r1_tarski(X5,esk35_2(X4,X5))
| ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v1_tsp_2(esk35_2(X4,X5),X4)
| ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t9_tsp_2])])])])])])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| v1_tsp_2(esk35_2(X1,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(esk35_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(esk35_2(esk1_0,X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| m1_subset_1(esk35_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| r1_tarski(X2,esk35_2(X1,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_55,plain,
! [X4,X5,X6] :
( ( ~ v1_tsp_1(X6,X4)
| v2_t_0topsp(X5)
| X6 != u1_struct_0(X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X5)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ l1_pre_topc(X4) )
& ( ~ v2_t_0topsp(X5)
| v1_tsp_1(X6,X4)
| X6 != u1_struct_0(X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X5)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t15_tsp_1])])])])])])]) ).
cnf(c_0_56,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(esk35_2(esk1_0,X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_57,plain,
( m1_subset_1(X1,k1_zfmisc_1(esk35_2(X2,X1)))
| v3_struct_0(X2)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_tsp_1(X3,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X3 != u1_struct_0(X2)
| ~ v2_t_0topsp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,negated_conjecture,
v2_t_0topsp(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_60,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_61,negated_conjecture,
( ~ v1_tsp_1(u1_struct_0(esk2_0),esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_62,negated_conjecture,
( v1_tsp_1(X1,esk1_0)
| X1 != u1_struct_0(esk2_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_37]),c_0_59]),c_0_18])]),c_0_20]),c_0_60]) ).
fof(c_0_63,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_pre_topc(X3)
| ~ m2_tsp_1(X4,X3)
| m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l19_tsp_2])])])])])]) ).
cnf(c_0_64,negated_conjecture,
~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_37]),c_0_18])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP029+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 13:53:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/2.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/2.41 # Preprocessing time : 0.026 s
% 0.23/2.41
% 0.23/2.41 # Proof found!
% 0.23/2.41 # SZS status Theorem
% 0.23/2.41 # SZS output start CNFRefutation
% See solution above
% 0.23/2.42 # Proof object total steps : 67
% 0.23/2.42 # Proof object clause steps : 46
% 0.23/2.42 # Proof object formula steps : 21
% 0.23/2.42 # Proof object conjectures : 24
% 0.23/2.42 # Proof object clause conjectures : 21
% 0.23/2.42 # Proof object formula conjectures : 3
% 0.23/2.42 # Proof object initial clauses used : 23
% 0.23/2.42 # Proof object initial formulas used : 10
% 0.23/2.42 # Proof object generating inferences : 19
% 0.23/2.42 # Proof object simplifying inferences : 48
% 0.23/2.42 # Training examples: 0 positive, 0 negative
% 0.23/2.42 # Parsed axioms : 109
% 0.23/2.42 # Removed by relevancy pruning/SinE : 0
% 0.23/2.42 # Initial clauses : 298
% 0.23/2.42 # Removed in clause preprocessing : 39
% 0.23/2.42 # Initial clauses in saturation : 259
% 0.23/2.42 # Processed clauses : 7418
% 0.23/2.42 # ...of these trivial : 1
% 0.23/2.42 # ...subsumed : 3265
% 0.23/2.42 # ...remaining for further processing : 4152
% 0.23/2.42 # Other redundant clauses eliminated : 6
% 0.23/2.42 # Clauses deleted for lack of memory : 0
% 0.23/2.42 # Backward-subsumed : 115
% 0.23/2.42 # Backward-rewritten : 3
% 0.23/2.42 # Generated clauses : 17431
% 0.23/2.42 # ...of the previous two non-trivial : 16948
% 0.23/2.42 # Contextual simplify-reflections : 4954
% 0.23/2.42 # Paramodulations : 17407
% 0.23/2.42 # Factorizations : 0
% 0.23/2.42 # Equation resolutions : 24
% 0.23/2.42 # Current number of processed clauses : 4034
% 0.23/2.42 # Positive orientable unit clauses : 46
% 0.23/2.42 # Positive unorientable unit clauses: 0
% 0.23/2.42 # Negative unit clauses : 19
% 0.23/2.42 # Non-unit-clauses : 3969
% 0.23/2.42 # Current number of unprocessed clauses: 8840
% 0.23/2.42 # ...number of literals in the above : 72664
% 0.23/2.42 # Current number of archived formulas : 0
% 0.23/2.42 # Current number of archived clauses : 118
% 0.23/2.42 # Clause-clause subsumption calls (NU) : 4940971
% 0.23/2.42 # Rec. Clause-clause subsumption calls : 568580
% 0.23/2.42 # Non-unit clause-clause subsumptions : 8130
% 0.23/2.42 # Unit Clause-clause subsumption calls : 552
% 0.23/2.42 # Rewrite failures with RHS unbound : 0
% 0.23/2.42 # BW rewrite match attempts : 24
% 0.23/2.42 # BW rewrite match successes : 2
% 0.23/2.42 # Condensation attempts : 0
% 0.23/2.42 # Condensation successes : 0
% 0.23/2.42 # Termbank termtop insertions : 406012
% 0.23/2.42
% 0.23/2.42 # -------------------------------------------------
% 0.23/2.42 # User time : 1.085 s
% 0.23/2.42 # System time : 0.017 s
% 0.23/2.42 # Total time : 1.102 s
% 0.23/2.42 # Maximum resident set size: 19572 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------