%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CAT026+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:11:46 PM UTC 2026
% Result : Theorem 1.62s 1.80s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 11 unt; 0 def)
% Number of atoms : 373 ( 11 equ)
% Maximal formula atoms : 13 ( 6 avg)
% Number of connectives : 555 ( 240 ~; 228 |; 53 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 153 ( 1 sgn 74 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k2_isocat_1,axiom,
! [X1,X2,X3,X4,X5] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3)
& m2_cat_1(X4,X1,X2)
& m2_cat_1(X5,X2,X3) )
=> k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_isocat_1) ).
fof(d8_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(dt_k11_cat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k9_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(t38_isocat_2,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(t27_isocat_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X3)
=> ! [X7] :
( m2_cat_1(X7,X2,X3)
=> ( ( r2_nattra_1(X1,X2,X4,X5)
& r2_nattra_1(X2,X3,X6,X7) )
=> r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(d7_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(dt_k8_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(reflexivity_r2_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2)
& m2_cat_1(X4,X1,X2) )
=> r2_nattra_1(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(existence_m2_cat_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ? [X3] : m2_cat_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(c_0_10,plain,
! [X195,X196,X197,X198,X199] :
( ~ v2_cat_1(X195)
| ~ l1_cat_1(X195)
| ~ v2_cat_1(X196)
| ~ l1_cat_1(X196)
| ~ v2_cat_1(X197)
| ~ l1_cat_1(X197)
| ~ m2_cat_1(X198,X195,X196)
| ~ m2_cat_1(X199,X196,X197)
| k2_isocat_1(X195,X196,X197,X198,X199) = k5_relat_1(X198,X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_isocat_1])]) ).
fof(c_0_11,plain,
! [X222,X223,X224,X225] :
( ~ v2_cat_1(X222)
| ~ l1_cat_1(X222)
| ~ v2_cat_1(X223)
| ~ l1_cat_1(X223)
| ~ v2_cat_1(X224)
| ~ l1_cat_1(X224)
| ~ m2_cat_1(X225,X222,k11_cat_2(X223,X224))
| k12_isocat_2(X222,X223,X224,X225) = k2_isocat_1(X222,k11_cat_2(X223,X224),X224,X225,k9_isocat_2(X223,X224)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_isocat_2])])]) ).
fof(c_0_12,plain,
! [X200,X201] :
( ( v2_cat_1(k11_cat_2(X200,X201))
| ~ v2_cat_1(X200)
| ~ l1_cat_1(X200)
| ~ v2_cat_1(X201)
| ~ l1_cat_1(X201) )
& ( l1_cat_1(k11_cat_2(X200,X201))
| ~ v2_cat_1(X200)
| ~ l1_cat_1(X200)
| ~ v2_cat_1(X201)
| ~ l1_cat_1(X201) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).
fof(c_0_13,plain,
! [X181,X182] :
( ~ v2_cat_1(X181)
| ~ l1_cat_1(X181)
| ~ v2_cat_1(X182)
| ~ l1_cat_1(X182)
| m2_cat_1(k9_isocat_2(X181,X182),k11_cat_2(X181,X182),X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t38_isocat_2]) ).
cnf(c_0_15,plain,
( k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( v2_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& v2_cat_1(esk2_0)
& l1_cat_1(esk2_0)
& v2_cat_1(esk3_0)
& l1_cat_1(esk3_0)
& m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0)
& ( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_21,plain,
( k12_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
( k12_isocat_2(X1,X2,X3,X4) = k12_isocat_2(X5,X2,X3,X4)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X5,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k12_isocat_2(X1,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
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(spm,[status(thm)],[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])]) ).
fof(c_0_32,plain,
! [X226,X227,X228,X229,X230,X231,X232] :
( ~ v2_cat_1(X226)
| ~ l1_cat_1(X226)
| ~ v2_cat_1(X227)
| ~ l1_cat_1(X227)
| ~ v2_cat_1(X228)
| ~ l1_cat_1(X228)
| ~ m2_cat_1(X229,X226,X227)
| ~ m2_cat_1(X230,X226,X227)
| ~ m2_cat_1(X231,X227,X228)
| ~ m2_cat_1(X232,X227,X228)
| ~ r2_nattra_1(X226,X227,X229,X230)
| ~ r2_nattra_1(X227,X228,X231,X232)
| r2_nattra_1(X226,X228,k2_isocat_1(X226,X227,X228,X229,X231),k2_isocat_1(X226,X227,X228,X230,X232)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t27_isocat_1])])]) ).
fof(c_0_33,plain,
! [X218,X219,X220,X221] :
( ~ v2_cat_1(X218)
| ~ l1_cat_1(X218)
| ~ v2_cat_1(X219)
| ~ l1_cat_1(X219)
| ~ v2_cat_1(X220)
| ~ l1_cat_1(X220)
| ~ m2_cat_1(X221,X218,k11_cat_2(X219,X220))
| k11_isocat_2(X218,X219,X220,X221) = k2_isocat_1(X218,k11_cat_2(X219,X220),X219,X221,k8_isocat_2(X219,X220)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_isocat_2])])]) ).
fof(c_0_34,plain,
! [X179,X180] :
( ~ v2_cat_1(X179)
| ~ l1_cat_1(X179)
| ~ v2_cat_1(X180)
| ~ l1_cat_1(X180)
| m2_cat_1(k8_isocat_2(X179,X180),k11_cat_2(X179,X180),X179) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])]) ).
cnf(c_0_35,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k5_relat_1(esk4_0,k9_isocat_2(esk2_0,esk3_0)),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_36,plain,
( r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X2,X3)
| ~ m2_cat_1(X7,X2,X3)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X2,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X187,X188,X189,X190] :
( ~ v2_cat_1(X187)
| ~ l1_cat_1(X187)
| ~ v2_cat_1(X188)
| ~ l1_cat_1(X188)
| ~ m2_cat_1(X189,X187,X188)
| ~ m2_cat_1(X190,X187,X188)
| r2_nattra_1(X187,X188,X189,X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r2_nattra_1])]) ).
fof(c_0_38,plain,
! [X192,X193] :
( ~ v2_cat_1(X192)
| ~ l1_cat_1(X192)
| ~ v2_cat_1(X193)
| ~ l1_cat_1(X193)
| m2_cat_1(esk14_2(X192,X193),X192,X193) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m2_cat_1])])]) ).
cnf(c_0_39,plain,
( k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk3_0,k2_isocat_1(X1,X2,X3,esk4_0,k9_isocat_2(esk2_0,esk3_0)),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(esk4_0,X4,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),X2,X3)
| ~ m2_cat_1(esk4_0,X1,X2)
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
cnf(c_0_42,plain,
( r2_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,X5),k12_isocat_2(X1,X3,X2,X6))
| ~ r2_nattra_1(k11_cat_2(X3,X2),X2,X5,k9_isocat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_cat_1(X5,k11_cat_2(X3,X2),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_43,negated_conjecture,
r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( m2_cat_1(esk14_2(X1,X2),X1,X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( r2_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5),k11_isocat_2(X1,X2,X3,X6))
| ~ r2_nattra_1(k11_cat_2(X2,X3),X2,X5,k8_isocat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_cat_1(X5,k11_cat_2(X2,X3),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_39]),c_0_17]),c_0_18]),c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(k11_cat_2(esk2_0,esk3_0),esk3_0,k9_isocat_2(esk2_0,esk3_0),k9_isocat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
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(spm,[status(thm)],[c_0_41,c_0_42]),c_0_24]),c_0_25]),c_0_27]),c_0_28]),c_0_30]),c_0_43]),c_0_44]),c_0_26]),c_0_29])]) ).
cnf(c_0_49,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
| ~ r2_nattra_1(k11_cat_2(X2,X3),X2,k8_isocat_2(X2,X3),k8_isocat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_39]),c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25]),c_0_28])]) ).
cnf(c_0_52,plain,
( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_17]),c_0_18]),c_0_40]) ).
cnf(c_0_53,negated_conjecture,
( ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
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(spm,[status(thm)],[c_0_51,c_0_52]),c_0_43]),c_0_44]),c_0_24]),c_0_26]),c_0_27]),c_0_25]),c_0_29]),c_0_30]),c_0_28])]) ).
cnf(c_0_54,negated_conjecture,
( ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_19]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_55,negated_conjecture,
( ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_24]),c_0_27]),c_0_30])]) ).
cnf(c_0_56,negated_conjecture,
~ l1_cat_1(k11_cat_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_17]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_18]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT026+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:50:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.62/1.80 % Version : CSE_E---1.7
% 1.62/1.80 % Problem : theBenchmark.p
% 1.62/1.80 % SZS status Theorem for theBenchmark.p
% 1.62/1.80 % SZS output start CNFRefutation
% See solution above
% 1.62/1.80 % Total time : 1.372s
%------------------------------------------------------------------------------