TSTP Solution File: TOP038+4 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP038+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 21:25:33 EDT 2022
% Result : Theorem 2.18s 58.36s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 73 ( 19 unt; 0 def)
% Number of atoms : 269 ( 25 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 342 ( 146 ~; 135 |; 39 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 132 ( 9 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t31_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k4_subset_1(u1_struct_0(X1),X3,X4)) = k4_subset_1(u1_struct_0(X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X4)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t31_tsp_2) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).
fof(t93_zfmisc_1,axiom,
! [X1,X2] : k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t93_zfmisc_1) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',redefinition_k4_pre_topc) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',commutativity_k2_tarski) ).
fof(dt_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_k4_pre_topc) ).
fof(t153_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> k9_relat_1(X3,k2_xboole_0(X1,X2)) = k2_xboole_0(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t153_relat_1) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
<=> r1_tarski(X3,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',d1_relset_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+406.ax',redefinition_m2_tsp_1) ).
fof(dt_k4_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k4_tsp_2(X1,X2))
& v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k4_tsp_2) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+406.ax',dt_m2_tsp_1) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_l1_pre_topc) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k4_subset_1(u1_struct_0(X1),X3,X4)) = k4_subset_1(u1_struct_0(X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X4)) ) ) ) ),
inference(assume_negation,[status(cth)],[t31_tsp_2]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k4_subset_1(X4,X5,X6) = k2_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
fof(c_0_17,plain,
! [X3,X4] : k3_tarski(k2_tarski(X3,X4)) = k2_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t93_zfmisc_1]) ).
fof(c_0_18,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k4_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)) != k4_subset_1(u1_struct_0(esk2_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0)) ),
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_15])])])])])]) ).
cnf(c_0_19,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k4_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)) != k4_subset_1(u1_struct_0(esk2_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( k4_subset_1(X1,X2,X3) = k3_tarski(k2_tarski(X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_23,plain,
! [X5,X6,X7,X8] :
( ~ l1_struct_0(X5)
| ~ l1_struct_0(X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m1_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| k4_pre_topc(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])])])]) ).
fof(c_0_24,plain,
! [X3,X4] : k2_tarski(X3,X4) = k2_tarski(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_25,plain,
! [X5,X6,X7,X8] :
( ~ l1_struct_0(X5)
| ~ l1_struct_0(X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m1_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| m1_subset_1(k4_pre_topc(X5,X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])])])]) ).
cnf(c_0_26,negated_conjecture,
( k3_tarski(k2_tarski(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0))) != k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k4_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))
| ~ m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0))) ),
inference(pm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| k9_relat_1(X6,k2_xboole_0(X4,X5)) = k2_xboole_0(k9_relat_1(X6,X4),k9_relat_1(X6,X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t153_relat_1])]) ).
cnf(c_0_31,negated_conjecture,
( k3_tarski(k2_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk4_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0))) != k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k4_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_29]) ).
cnf(c_0_32,plain,
( k9_relat_1(X1,k2_xboole_0(X2,X3)) = k2_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( k3_tarski(k2_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk3_0),k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk4_0))) != k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k4_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_31,c_0_27]),c_0_28]) ).
cnf(c_0_34,plain,
( k9_relat_1(X1,k3_tarski(k2_tarski(X2,X3))) = k3_tarski(k2_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3)))
| ~ v1_relat_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_20]),c_0_20]) ).
cnf(c_0_35,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k4_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)) != k9_relat_1(k4_tsp_2(esk1_0,esk2_0),k3_tarski(k2_tarski(esk3_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ v1_relat_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_38,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m1_relset_1(X6,X4,X5)
| r1_tarski(X6,k2_zfmisc_1(X4,X5)) )
& ( ~ r1_tarski(X6,k2_zfmisc_1(X4,X5))
| m1_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ v1_relat_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_22]),c_0_36]),c_0_37])]),c_0_27]) ).
cnf(c_0_40,plain,
( m1_relset_1(X1,X2,X3)
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
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,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_43,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ v1_relat_1(k4_tsp_2(esk1_0,esk2_0))
| ~ r1_tarski(k4_tsp_2(esk1_0,esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0))) ),
inference(pm,[status(thm)],[c_0_39,c_0_40]) ).
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,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_46,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_47,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_48,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_tsp_2(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_49,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_50,plain,
! [X3,X4] :
( ( v1_funct_1(k4_tsp_2(X3,X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) )
& ( v1_funct_2(k4_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) )
& ( v5_pre_topc(k4_tsp_2(X3,X4),X3,X4)
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) )
& ( m2_relset_1(k4_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_tsp_2])])])]) ).
cnf(c_0_51,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_54,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_59,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_60,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_61,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(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(pm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_53])]),c_0_59]),c_0_60]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_63,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_64,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_1(k4_tsp_2(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(pm,[status(thm)],[c_0_61,c_0_62]),c_0_56]),c_0_57]),c_0_58]),c_0_53])]),c_0_59]),c_0_60]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(k4_tsp_2(X2,X1))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_66,plain,
! [X2] :
( ~ l1_pre_topc(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_67,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_64,c_0_65]),c_0_56]),c_0_57]),c_0_58]),c_0_53])]),c_0_59]),c_0_60]) ).
cnf(c_0_69,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_70,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_52]),c_0_53])]) ).
cnf(c_0_71,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_69]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP038+4 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.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 10:08:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.01/25.07 eprover: CPU time limit exceeded, terminating
% 2.01/25.09 eprover: CPU time limit exceeded, terminating
% 2.07/38.42 eprover: CPU time limit exceeded, terminating
% 2.07/38.77 eprover: CPU time limit exceeded, terminating
% 2.13/48.10 eprover: CPU time limit exceeded, terminating
% 2.18/58.36 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 2.18/58.36
% 2.18/58.36 # Failure: Resource limit exceeded (time)
% 2.18/58.36 # OLD status Res
% 2.18/58.36 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 2.18/58.36 # Preprocessing time : 1.255 s
% 2.18/58.36 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 2.18/58.36
% 2.18/58.36 # Failure: Resource limit exceeded (time)
% 2.18/58.36 # OLD status Res
% 2.18/58.36 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 2.18/58.36 # Preprocessing time : 1.126 s
% 2.18/58.36 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 2.18/58.36 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 2.18/58.36 # Preprocessing time : 1.406 s
% 2.18/58.36
% 2.18/58.36 # Proof found!
% 2.18/58.36 # SZS status Theorem
% 2.18/58.36 # SZS output start CNFRefutation
% See solution above
% 2.18/58.36 # Proof object total steps : 73
% 2.18/58.36 # Proof object clause steps : 42
% 2.18/58.36 # Proof object formula steps : 31
% 2.18/58.36 # Proof object conjectures : 27
% 2.18/58.36 # Proof object clause conjectures : 24
% 2.18/58.36 # Proof object formula conjectures : 3
% 2.18/58.36 # Proof object initial clauses used : 25
% 2.18/58.36 # Proof object initial formulas used : 15
% 2.18/58.36 # Proof object generating inferences : 15
% 2.18/58.36 # Proof object simplifying inferences : 41
% 2.18/58.36 # Training examples: 0 positive, 0 negative
% 2.18/58.36 # Parsed axioms : 34435
% 2.18/58.36 # Removed by relevancy pruning/SinE : 32627
% 2.18/58.36 # Initial clauses : 4326
% 2.18/58.36 # Removed in clause preprocessing : 158
% 2.18/58.36 # Initial clauses in saturation : 4168
% 2.18/58.36 # Processed clauses : 8949
% 2.18/58.36 # ...of these trivial : 207
% 2.18/58.36 # ...subsumed : 3502
% 2.18/58.36 # ...remaining for further processing : 5240
% 2.18/58.36 # Other redundant clauses eliminated : 626
% 2.18/58.36 # Clauses deleted for lack of memory : 110523
% 2.18/58.36 # Backward-subsumed : 55
% 2.18/58.36 # Backward-rewritten : 64
% 2.18/58.36 # Generated clauses : 229321
% 2.18/58.36 # ...of the previous two non-trivial : 223166
% 2.18/58.36 # Contextual simplify-reflections : 891
% 2.18/58.36 # Paramodulations : 228545
% 2.18/58.36 # Factorizations : 29
% 2.18/58.36 # Equation resolutions : 768
% 2.18/58.36 # Current number of processed clauses : 5015
% 2.18/58.36 # Positive orientable unit clauses : 400
% 2.18/58.36 # Positive unorientable unit clauses: 15
% 2.18/58.36 # Negative unit clauses : 640
% 2.18/58.36 # Non-unit-clauses : 3960
% 2.18/58.36 # Current number of unprocessed clauses: 104780
% 2.18/58.36 # ...number of literals in the above : 350706
% 2.18/58.36 # Current number of archived formulas : 0
% 2.18/58.36 # Current number of archived clauses : 125
% 2.18/58.36 # Clause-clause subsumption calls (NU) : 8819814
% 2.18/58.36 # Rec. Clause-clause subsumption calls : 627459
% 2.18/58.36 # Non-unit clause-clause subsumptions : 1454
% 2.18/58.36 # Unit Clause-clause subsumption calls : 886772
% 2.18/58.36 # Rewrite failures with RHS unbound : 0
% 2.18/58.36 # BW rewrite match attempts : 758
% 2.18/58.36 # BW rewrite match successes : 228
% 2.18/58.36 # Condensation attempts : 0
% 2.18/58.36 # Condensation successes : 0
% 2.18/58.36 # Termbank termtop insertions : 5801726
% 2.18/58.36
% 2.18/58.36 # -------------------------------------------------
% 2.18/58.36 # User time : 9.812 s
% 2.18/58.36 # System time : 0.190 s
% 2.18/58.36 # Total time : 10.002 s
% 2.18/58.36 # Maximum resident set size: 208312 pages
% 2.18/65.77 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.77 eprover: No such file or directory
% 2.18/65.77 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.77 eprover: No such file or directory
% 2.18/65.78 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.78 eprover: No such file or directory
% 2.18/65.79 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.79 eprover: No such file or directory
% 2.18/65.79 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.79 eprover: No such file or directory
% 2.18/65.80 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.80 eprover: No such file or directory
% 2.18/65.80 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.80 eprover: No such file or directory
% 2.18/65.81 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/65.81 eprover: No such file or directory
% 2.18/65.90 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.90 eprover: No such file or directory
% 2.18/65.91 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.91 eprover: No such file or directory
% 2.18/65.92 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.92 eprover: No such file or directory
% 2.18/65.92 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.92 eprover: No such file or directory
% 2.18/65.93 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.93 eprover: No such file or directory
% 2.18/65.93 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.93 eprover: No such file or directory
% 2.18/65.94 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.94 eprover: No such file or directory
% 2.18/65.94 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/65.94 eprover: No such file or directory
% 2.18/74.93 eprover: CPU time limit exceeded, terminating
% 2.18/74.95 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.95 eprover: No such file or directory
% 2.18/74.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.96 eprover: No such file or directory
% 2.18/74.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.96 eprover: No such file or directory
% 2.18/74.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.97 eprover: No such file or directory
% 2.18/74.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.98 eprover: No such file or directory
% 2.18/74.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.98 eprover: No such file or directory
% 2.18/74.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.99 eprover: No such file or directory
% 2.18/74.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/74.99 eprover: No such file or directory
%------------------------------------------------------------------------------