%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CAT032+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 04:11:47 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 306 ( 133 ~; 121 |; 37 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn 31 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t49_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) )
=> r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_isocat_2) ).
fof(d4_isocat_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( r1_isocat_1(X1,X2)
<=> ? [X3] :
( m2_cat_1(X3,X1,X2)
& v8_cat_1(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(t48_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) )
=> v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_isocat_2) ).
fof(dt_k17_isocat_2,axiom,
! [X1,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(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_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/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k12_nattra_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v1_cat_1(k12_nattra_1(X1,X2))
& v2_cat_1(k12_nattra_1(X1,X2))
& l1_cat_1(k12_nattra_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(c_0_6,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) )
=> r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
inference(assume_negation,[status(cth)],[t49_isocat_2]) ).
fof(c_0_7,plain,
! [X121,X122,X124] :
( ( m2_cat_1(esk4_2(X121,X122),X121,X122)
| ~ r1_isocat_1(X121,X122)
| ~ v2_cat_1(X122)
| ~ l1_cat_1(X122)
| ~ v2_cat_1(X121)
| ~ l1_cat_1(X121) )
& ( v8_cat_1(esk4_2(X121,X122),X121,X122)
| ~ r1_isocat_1(X121,X122)
| ~ v2_cat_1(X122)
| ~ l1_cat_1(X122)
| ~ v2_cat_1(X121)
| ~ l1_cat_1(X121) )
& ( ~ m2_cat_1(X124,X121,X122)
| ~ v8_cat_1(X124,X121,X122)
| r1_isocat_1(X121,X122)
| ~ v2_cat_1(X122)
| ~ l1_cat_1(X122)
| ~ v2_cat_1(X121)
| ~ l1_cat_1(X121) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_isocat_1])])])])]) ).
fof(c_0_8,plain,
! [X197,X198,X199] :
( ~ v2_cat_1(X197)
| ~ l1_cat_1(X197)
| ~ v2_cat_1(X198)
| ~ l1_cat_1(X198)
| ~ v2_cat_1(X199)
| ~ l1_cat_1(X199)
| v8_cat_1(k17_isocat_2(X197,X198,X199),k12_nattra_1(X197,k11_cat_2(X198,X199)),k11_cat_2(k12_nattra_1(X197,X198),k12_nattra_1(X197,X199))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_isocat_2])])]) ).
fof(c_0_9,plain,
! [X135,X136,X137] :
( ~ v2_cat_1(X135)
| ~ l1_cat_1(X135)
| ~ v2_cat_1(X136)
| ~ l1_cat_1(X136)
| ~ v2_cat_1(X137)
| ~ l1_cat_1(X137)
| m2_cat_1(k17_isocat_2(X135,X136,X137),k12_nattra_1(X135,k11_cat_2(X136,X137)),k11_cat_2(k12_nattra_1(X135,X136),k12_nattra_1(X135,X137))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k17_isocat_2])]) ).
fof(c_0_10,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)
& ~ r1_isocat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)),k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,plain,
( r1_isocat_1(X2,X3)
| ~ m2_cat_1(X1,X2,X3)
| ~ v8_cat_1(X1,X2,X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,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) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,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) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ r1_isocat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)),k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X131,X132] :
( ( v2_cat_1(k11_cat_2(X131,X132))
| ~ v2_cat_1(X131)
| ~ l1_cat_1(X131)
| ~ v2_cat_1(X132)
| ~ l1_cat_1(X132) )
& ( l1_cat_1(k11_cat_2(X131,X132))
| ~ v2_cat_1(X131)
| ~ l1_cat_1(X131)
| ~ v2_cat_1(X132)
| ~ l1_cat_1(X132) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).
cnf(c_0_23,negated_conjecture,
( ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0)))
| ~ l1_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0)))
| ~ v2_cat_1(k12_nattra_1(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_24,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_22]) ).
cnf(c_0_25,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_22]) ).
fof(c_0_26,plain,
! [X133,X134] :
( ( v1_cat_1(k12_nattra_1(X133,X134))
| ~ v2_cat_1(X133)
| ~ l1_cat_1(X133)
| ~ v2_cat_1(X134)
| ~ l1_cat_1(X134) )
& ( v2_cat_1(k12_nattra_1(X133,X134))
| ~ v2_cat_1(X133)
| ~ l1_cat_1(X133)
| ~ v2_cat_1(X134)
| ~ l1_cat_1(X134) )
& ( l1_cat_1(k12_nattra_1(X133,X134))
| ~ v2_cat_1(X133)
| ~ l1_cat_1(X133)
| ~ v2_cat_1(X134)
| ~ l1_cat_1(X134) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_nattra_1])])]) ).
cnf(c_0_27,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
( v2_cat_1(k12_nattra_1(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_26]) ).
cnf(c_0_29,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_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_27,c_0_28]),c_0_18]),c_0_21])]) ).
cnf(c_0_30,plain,
( l1_cat_1(k12_nattra_1(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_26]) ).
cnf(c_0_31,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_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_29,c_0_30]),c_0_18]),c_0_21])]) ).
cnf(c_0_32,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_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_31,c_0_24]),c_0_16]),c_0_17]),c_0_19]),c_0_20])]) ).
cnf(c_0_33,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_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_32,c_0_25]),c_0_16]),c_0_17]),c_0_19]),c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
| ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_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_33,c_0_28]),c_0_16]),c_0_18]),c_0_19]),c_0_21])]) ).
cnf(c_0_35,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
| ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_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_34,c_0_28]),c_0_17]),c_0_18]),c_0_20]),c_0_21])]) ).
cnf(c_0_36,negated_conjecture,
~ l1_cat_1(k12_nattra_1(esk1_0,esk2_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_35,c_0_30]),c_0_16]),c_0_18]),c_0_19]),c_0_21])]) ).
cnf(c_0_37,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_36,c_0_30]),c_0_17]),c_0_18]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT032+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n007.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 10:49:38 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------