TSTP Solution File: TOP038+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP038+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 21:25:32 EDT 2022
% Result : Theorem 0.72s 48.90s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 16 unt; 0 def)
% Number of atoms : 261 ( 20 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 336 ( 143 ~; 132 |; 39 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 120 ( 9 sgn 82 !; 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/sandbox/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/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_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/sandbox/benchmark/Axioms/SET007/SET007+206.ax',redefinition_k4_pre_topc) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k2_xboole_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_l1_pre_topc) ).
fof(c_0_14,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_15,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_14])])])])])]) ).
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])]) ).
cnf(c_0_17,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_15]) ).
cnf(c_0_18,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]) ).
fof(c_0_19,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_20,plain,
! [X3,X4] : k2_xboole_0(X3,X4) = k2_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(c_0_21,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_22,negated_conjecture,
( k2_xboole_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)) != 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_17,c_0_18]) ).
cnf(c_0_23,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_19]) ).
cnf(c_0_24,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,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_21]) ).
cnf(c_0_26,negated_conjecture,
( k2_xboole_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),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_22,c_0_23]),c_0_24]),c_0_25]),c_0_25]) ).
fof(c_0_27,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_28,negated_conjecture,
( k2_xboole_0(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_26,c_0_23]),c_0_24]) ).
cnf(c_0_29,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_27]) ).
cnf(c_0_30,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),k2_xboole_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))
| ~ v1_relat_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_33,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_34,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_30,c_0_18]),c_0_31]),c_0_32])]),c_0_23]) ).
cnf(c_0_35,plain,
( m1_relset_1(X1,X2,X3)
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_36,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_37,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_38,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_34,c_0_35]) ).
cnf(c_0_39,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_41,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_42,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_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))
| ~ 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_38,c_0_39]),c_0_40]) ).
cnf(c_0_44,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_41]) ).
fof(c_0_45,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_46,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_48,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_49,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_43,c_0_44]) ).
cnf(c_0_50,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_45]) ).
cnf(c_0_51,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_52,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_53,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_54,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_55,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_56,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_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_48])]),c_0_54]),c_0_55]) ).
cnf(c_0_57,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_45]) ).
fof(c_0_58,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_59,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_56,c_0_57]),c_0_51]),c_0_52]),c_0_53]),c_0_48])]),c_0_54]),c_0_55]) ).
cnf(c_0_60,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_45]) ).
fof(c_0_61,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_62,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,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_59,c_0_60]),c_0_51]),c_0_52]),c_0_53]),c_0_48])]),c_0_54]),c_0_55]) ).
cnf(c_0_64,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_65,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_47]),c_0_48])]) ).
cnf(c_0_66,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_66,c_0_64]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : TOP038+2 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun May 29 14:35:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.58/23.64 eprover: CPU time limit exceeded, terminating
% 0.58/23.65 eprover: CPU time limit exceeded, terminating
% 0.58/23.65 eprover: CPU time limit exceeded, terminating
% 0.58/23.66 eprover: CPU time limit exceeded, terminating
% 0.71/46.66 eprover: CPU time limit exceeded, terminating
% 0.71/46.66 eprover: CPU time limit exceeded, terminating
% 0.71/46.67 eprover: CPU time limit exceeded, terminating
% 0.71/46.69 eprover: CPU time limit exceeded, terminating
% 0.72/48.90 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.72/48.90
% 0.72/48.90 # Failure: Resource limit exceeded (time)
% 0.72/48.90 # OLD status Res
% 0.72/48.90 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.72/48.90 # Preprocessing time : 0.173 s
% 0.72/48.90 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.72/48.90
% 0.72/48.90 # Failure: Resource limit exceeded (time)
% 0.72/48.90 # OLD status Res
% 0.72/48.90 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.72/48.90 # Preprocessing time : 0.154 s
% 0.72/48.90 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.72/48.90 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.72/48.90 # Preprocessing time : 0.175 s
% 0.72/48.90
% 0.72/48.90 # Proof found!
% 0.72/48.90 # SZS status Theorem
% 0.72/48.90 # SZS output start CNFRefutation
% See solution above
% 0.72/48.90 # Proof object total steps : 68
% 0.72/48.90 # Proof object clause steps : 39
% 0.72/48.90 # Proof object formula steps : 29
% 0.72/48.90 # Proof object conjectures : 27
% 0.72/48.90 # Proof object clause conjectures : 24
% 0.72/48.90 # Proof object formula conjectures : 3
% 0.72/48.90 # Proof object initial clauses used : 24
% 0.72/48.90 # Proof object initial formulas used : 14
% 0.72/48.90 # Proof object generating inferences : 15
% 0.72/48.90 # Proof object simplifying inferences : 38
% 0.72/48.90 # Training examples: 0 positive, 0 negative
% 0.72/48.90 # Parsed axioms : 3636
% 0.72/48.90 # Removed by relevancy pruning/SinE : 2729
% 0.72/48.90 # Initial clauses : 1936
% 0.72/48.90 # Removed in clause preprocessing : 92
% 0.72/48.90 # Initial clauses in saturation : 1844
% 0.72/48.90 # Processed clauses : 2871
% 0.72/48.90 # ...of these trivial : 81
% 0.72/48.90 # ...subsumed : 744
% 0.72/48.90 # ...remaining for further processing : 2046
% 0.72/48.90 # Other redundant clauses eliminated : 201
% 0.72/48.90 # Clauses deleted for lack of memory : 0
% 0.72/48.90 # Backward-subsumed : 32
% 0.72/48.90 # Backward-rewritten : 38
% 0.72/48.90 # Generated clauses : 40572
% 0.72/48.90 # ...of the previous two non-trivial : 37966
% 0.72/48.90 # Contextual simplify-reflections : 377
% 0.72/48.90 # Paramodulations : 40280
% 0.72/48.90 # Factorizations : 19
% 0.72/48.90 # Equation resolutions : 274
% 0.72/48.90 # Current number of processed clauses : 1929
% 0.72/48.90 # Positive orientable unit clauses : 144
% 0.72/48.90 # Positive unorientable unit clauses: 3
% 0.72/48.90 # Negative unit clauses : 118
% 0.72/48.90 # Non-unit-clauses : 1664
% 0.72/48.90 # Current number of unprocessed clauses: 35807
% 0.72/48.90 # ...number of literals in the above : 213635
% 0.72/48.90 # Current number of archived formulas : 0
% 0.72/48.90 # Current number of archived clauses : 71
% 0.72/48.90 # Clause-clause subsumption calls (NU) : 1282517
% 0.72/48.90 # Rec. Clause-clause subsumption calls : 76361
% 0.72/48.90 # Non-unit clause-clause subsumptions : 619
% 0.72/48.90 # Unit Clause-clause subsumption calls : 37690
% 0.72/48.90 # Rewrite failures with RHS unbound : 0
% 0.72/48.90 # BW rewrite match attempts : 330
% 0.72/48.90 # BW rewrite match successes : 41
% 0.72/48.90 # Condensation attempts : 0
% 0.72/48.90 # Condensation successes : 0
% 0.72/48.90 # Termbank termtop insertions : 840726
% 0.72/48.90
% 0.72/48.90 # -------------------------------------------------
% 0.72/48.90 # User time : 1.188 s
% 0.72/48.90 # System time : 0.038 s
% 0.72/48.90 # Total time : 1.227 s
% 0.72/48.90 # Maximum resident set size: 56780 pages
% 0.72/69.68 eprover: CPU time limit exceeded, terminating
% 0.72/69.69 eprover: CPU time limit exceeded, terminating
% 0.72/69.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.70 eprover: No such file or directory
% 0.72/69.70 eprover: CPU time limit exceeded, terminating
% 0.72/69.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.70 eprover: No such file or directory
% 0.72/69.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.71 eprover: No such file or directory
% 0.72/69.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.71 eprover: No such file or directory
% 0.72/69.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.71 eprover: No such file or directory
% 0.72/69.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.71 eprover: No such file or directory
% 0.72/69.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.72 eprover: No such file or directory
% 0.72/69.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.72 eprover: No such file or directory
% 0.72/69.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.72 eprover: No such file or directory
% 0.72/69.72 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.72 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.72 eprover: No such file or directory
% 0.72/69.72 eprover: No such file or directory
% 0.72/69.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.72 eprover: No such file or directory
% 0.72/69.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.73 eprover: No such file or directory
% 0.72/69.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.73 eprover: No such file or directory
% 0.72/69.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.73 eprover: No such file or directory
% 0.72/69.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.73 eprover: No such file or directory
% 0.72/69.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.73 eprover: No such file or directory
% 0.72/69.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.73 eprover: No such file or directory
% 0.72/69.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.74 eprover: No such file or directory
% 0.72/69.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.74 eprover: No such file or directory
% 0.72/69.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.74 eprover: No such file or directory
% 0.72/69.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.74 eprover: No such file or directory
% 0.72/69.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/69.74 eprover: No such file or directory
% 0.72/69.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.74 eprover: No such file or directory
% 0.72/69.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.75 eprover: No such file or directory
% 0.72/69.76 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.76 eprover: No such file or directory
% 0.72/69.76 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/69.76 eprover: No such file or directory
%------------------------------------------------------------------------------