%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:14:14 AM UTC 2026
% Result : Theorem 24.05s 24.34s
% Output : Proof 24.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 205 ( 155 unt; 0 def)
% Number of atoms : 471 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 452 ( 186 ~; 177 |; 74 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 76 ( 0 sgn 47 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t49_isocat_2,conjecture,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
file('theBenchmark.p',t49_isocat_2) ).
fof(d4_isocat_1,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ( r1_isocat_1(A,B)
<=> ? [C] :
( v8_cat_1(C,A,B)
& m2_cat_1(C,A,B) ) ) ) ),
file('theBenchmark.p',d4_isocat_1) ).
fof(dt_k11_cat_2,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> ( l1_cat_1(k11_cat_2(A,B))
& v2_cat_1(k11_cat_2(A,B)) ) ),
file('theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k12_nattra_1,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> ( l1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& v1_cat_1(k12_nattra_1(A,B)) ) ),
file('theBenchmark.p',dt_k12_nattra_1) ).
fof(dt_k17_isocat_2,axiom,
! [A,B,C] :
( ( l1_cat_1(C)
& v2_cat_1(C)
& l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ),
file('theBenchmark.p',dt_k17_isocat_2) ).
fof(t48_isocat_2,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_cat_1(C) )
=> v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
file('theBenchmark.p',t48_isocat_2) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
inference(negate,[status(cth)],[t49_isocat_2]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ~ r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))
& l1_cat_1(C)
& v2_cat_1(C) )
& l1_cat_1(B)
& v2_cat_1(B) )
& l1_cat_1(A)
& v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ~ r1_isocat_1(k12_nattra_1(U_2,k11_cat_2(U_1,U_0)),k11_cat_2(k12_nattra_1(U_2,U_1),k12_nattra_1(U_2,U_0)))
& l1_cat_1(U_0)
& v2_cat_1(U_0) )
& l1_cat_1(U_1)
& v2_cat_1(U_1) )
& l1_cat_1(U_2)
& v2_cat_1(U_2) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_1] :
( ? [U_0] :
( ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(U_1,U_0)),k11_cat_2(k12_nattra_1(sK1,U_1),k12_nattra_1(sK1,U_0)))
& l1_cat_1(U_0)
& v2_cat_1(U_0) )
& l1_cat_1(U_1)
& v2_cat_1(U_1) )
& l1_cat_1(sK1)
& v2_cat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_0] :
( ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,U_0)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,U_0)))
& l1_cat_1(U_0)
& v2_cat_1(U_0) )
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
& l1_cat_1(sK3)
& v2_cat_1(sK3)
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_0,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
& l1_cat_1(sK3)
& v2_cat_1(sK3)
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
v2_cat_1(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
l1_cat_1(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
v2_cat_1(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
l1_cat_1(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_12,negated_conjecture,
v2_cat_1(sK3),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_13,negated_conjecture,
l1_cat_1(sK3),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_14,negated_conjecture,
~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))),
inference(clausify,[status(thm)],[f_1_7]) ).
fof(f_5_1,plain,
! [A] :
( ! [B] :
( ( ( r1_isocat_1(A,B)
| ! [C] :
( ~ v8_cat_1(C,A,B)
| ~ m2_cat_1(C,A,B) ) )
& ( ? [C] :
( v8_cat_1(C,A,B)
& m2_cat_1(C,A,B) )
| ~ r1_isocat_1(A,B) ) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[d4_isocat_1]) ).
fof(f_5_2,plain,
! [U_12] :
( ! [U_11] :
( ( ( r1_isocat_1(U_12,U_11)
| ! [U_10] :
( ~ v8_cat_1(U_10,U_12,U_11)
| ~ m2_cat_1(U_10,U_12,U_11) ) )
& ( ? [U_9] :
( v8_cat_1(U_9,U_12,U_11)
& m2_cat_1(U_9,U_12,U_11) )
| ~ r1_isocat_1(U_12,U_11) ) )
| ~ l1_cat_1(U_11)
| ~ v2_cat_1(U_11) )
| ~ l1_cat_1(U_12)
| ~ v2_cat_1(U_12) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_12] :
( ! [U_11] :
( ( ( r1_isocat_1(U_12,U_11)
| ! [U_10] :
( ~ v8_cat_1(U_10,U_12,U_11)
| ~ m2_cat_1(U_10,U_12,U_11) ) )
& ( ( v8_cat_1(sK4(U_12,U_11),U_12,U_11)
& m2_cat_1(sK4(U_12,U_11),U_12,U_11) )
| ~ r1_isocat_1(U_12,U_11) ) )
| ~ l1_cat_1(U_11)
| ~ v2_cat_1(U_11) )
| ~ l1_cat_1(U_12)
| ~ v2_cat_1(U_12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_9,sK4(U_12,U_11))],[f_5_2]) ).
cnf(f_5_6,plain,
( r1_isocat_1(U_12,U_11)
| ~ v8_cat_1(U_10,U_12,U_11)
| ~ m2_cat_1(U_10,U_12,U_11)
| ~ l1_cat_1(U_11)
| ~ v2_cat_1(U_11)
| ~ l1_cat_1(U_12)
| ~ v2_cat_1(U_12) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_7_1,plain,
! [A,B] :
( ( l1_cat_1(k11_cat_2(A,B))
& v2_cat_1(k11_cat_2(A,B)) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k11_cat_2]) ).
fof(f_7_2,plain,
! [U_20,U_19] :
( ( l1_cat_1(k11_cat_2(U_20,U_19))
& v2_cat_1(k11_cat_2(U_20,U_19)) )
| ~ l1_cat_1(U_19)
| ~ v2_cat_1(U_19)
| ~ l1_cat_1(U_20)
| ~ v2_cat_1(U_20) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( v2_cat_1(k11_cat_2(U_20,U_19))
| ~ l1_cat_1(U_19)
| ~ v2_cat_1(U_19)
| ~ l1_cat_1(U_20)
| ~ v2_cat_1(U_20) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( l1_cat_1(k11_cat_2(U_20,U_19))
| ~ l1_cat_1(U_19)
| ~ v2_cat_1(U_19)
| ~ l1_cat_1(U_20)
| ~ v2_cat_1(U_20) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A,B] :
( ( l1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& v1_cat_1(k12_nattra_1(A,B)) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k12_nattra_1]) ).
fof(f_8_2,plain,
! [U_22,U_21] :
( ( l1_cat_1(k12_nattra_1(U_22,U_21))
& v2_cat_1(k12_nattra_1(U_22,U_21))
& v1_cat_1(k12_nattra_1(U_22,U_21)) )
| ~ l1_cat_1(U_21)
| ~ v2_cat_1(U_21)
| ~ l1_cat_1(U_22)
| ~ v2_cat_1(U_22) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_4,plain,
( v2_cat_1(k12_nattra_1(U_22,U_21))
| ~ l1_cat_1(U_21)
| ~ v2_cat_1(U_21)
| ~ l1_cat_1(U_22)
| ~ v2_cat_1(U_22) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( l1_cat_1(k12_nattra_1(U_22,U_21))
| ~ l1_cat_1(U_21)
| ~ v2_cat_1(U_21)
| ~ l1_cat_1(U_22)
| ~ v2_cat_1(U_22) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A,B,C] :
( m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))
| ~ l1_cat_1(C)
| ~ v2_cat_1(C)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k17_isocat_2]) ).
fof(f_9_2,plain,
! [U_25,U_24,U_23] :
( m2_cat_1(k17_isocat_2(U_25,U_24,U_23),k12_nattra_1(U_25,k11_cat_2(U_24,U_23)),k11_cat_2(k12_nattra_1(U_25,U_24),k12_nattra_1(U_25,U_23)))
| ~ l1_cat_1(U_23)
| ~ v2_cat_1(U_23)
| ~ l1_cat_1(U_24)
| ~ v2_cat_1(U_24)
| ~ l1_cat_1(U_25)
| ~ v2_cat_1(U_25) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( m2_cat_1(k17_isocat_2(U_25,U_24,U_23),k12_nattra_1(U_25,k11_cat_2(U_24,U_23)),k11_cat_2(k12_nattra_1(U_25,U_24),k12_nattra_1(U_25,U_23)))
| ~ l1_cat_1(U_23)
| ~ v2_cat_1(U_23)
| ~ l1_cat_1(U_24)
| ~ v2_cat_1(U_24)
| ~ l1_cat_1(U_25)
| ~ v2_cat_1(U_25) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_44_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))
| ~ l1_cat_1(C)
| ~ v2_cat_1(C) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[t48_isocat_2]) ).
fof(f_44_2,plain,
! [U_98] :
( ! [U_97] :
( ! [U_96] :
( v8_cat_1(k17_isocat_2(U_98,U_97,U_96),k12_nattra_1(U_98,k11_cat_2(U_97,U_96)),k11_cat_2(k12_nattra_1(U_98,U_97),k12_nattra_1(U_98,U_96)))
| ~ l1_cat_1(U_96)
| ~ v2_cat_1(U_96) )
| ~ l1_cat_1(U_97)
| ~ v2_cat_1(U_97) )
| ~ l1_cat_1(U_98)
| ~ v2_cat_1(U_98) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( v8_cat_1(k17_isocat_2(U_98,U_97,U_96),k12_nattra_1(U_98,k11_cat_2(U_97,U_96)),k11_cat_2(k12_nattra_1(U_98,U_97),k12_nattra_1(U_98,U_96)))
| ~ l1_cat_1(U_96)
| ~ v2_cat_1(U_96)
| ~ l1_cat_1(U_97)
| ~ v2_cat_1(U_97)
| ~ l1_cat_1(U_98)
| ~ v2_cat_1(U_98) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(t1,plain,
~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))),
inference(start,[status(thm),parent(0:0)],[f_1_14]) ).
cnf(t2,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| ~ m2_cat_1(k17_isocat_2(sK1,sK2,sK3),k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| ~ v8_cat_1(k17_isocat_2(sK1,sK2,sK3),k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| ~ v2_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)))
| r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
inference(extension,[status(thm),parent(t1:1)],[f_5_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(k11_cat_2(sK2,sK3))
| ~ l1_cat_1(k11_cat_2(sK2,sK3))
| ~ v2_cat_1(sK1)
| v2_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3))) ),
inference(extension,[status(thm),parent(t2:2)],[f_8_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t4:2)],[f_1_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| l1_cat_1(k11_cat_2(sK2,sK3)) ),
inference(extension,[status(thm),parent(t4:3)],[f_7_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t8:2)],[f_1_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t8:3)],[f_1_13]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t8:4)],[f_1_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).
cnf(t16,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t8:5)],[f_1_11]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:5]) ).
cnf(t18,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| v2_cat_1(k11_cat_2(sK2,sK3)) ),
inference(extension,[status(thm),parent(t4:4)],[f_7_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:4]) ).
cnf(t20,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t18:2)],[f_1_10]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t18:3)],[f_1_13]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t18:4)],[f_1_12]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:4]) ).
cnf(t26,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t18:5)],[f_1_11]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:5]) ).
cnf(t28,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t4:5)],[f_1_9]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t4:5]) ).
cnf(t30,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| v8_cat_1(k17_isocat_2(sK1,sK2,sK3),k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
inference(extension,[status(thm),parent(t2:3)],[f_44_3]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t2:3]) ).
cnf(t32,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t30:2)],[f_1_8]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t30:3)],[f_1_13]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t30:4)],[f_1_12]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t30:4]) ).
cnf(t38,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t30:5)],[f_1_11]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t30:5]) ).
cnf(t40,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t30:6)],[f_1_10]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t30:6]) ).
cnf(t42,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t30:7)],[f_1_9]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t30:7]) ).
cnf(t44,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| m2_cat_1(k17_isocat_2(sK1,sK2,sK3),k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
inference(extension,[status(thm),parent(t2:4)],[f_9_3]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t2:4]) ).
cnf(t46,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t44:2)],[f_1_8]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t44:3)],[f_1_13]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t44:3]) ).
cnf(t50,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t44:4)],[f_1_12]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t44:4]) ).
cnf(t52,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t44:5)],[f_1_11]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t44:5]) ).
cnf(t54,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t44:6)],[f_1_10]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t44:6]) ).
cnf(t56,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t44:7)],[f_1_9]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t44:7]) ).
cnf(t58,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK1,sK3))
| ~ l1_cat_1(k12_nattra_1(sK1,sK3))
| ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| l1_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
inference(extension,[status(thm),parent(t2:5)],[f_7_4]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t2:5]) ).
cnf(t60,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| v2_cat_1(k12_nattra_1(sK1,sK2)) ),
inference(extension,[status(thm),parent(t58:2)],[f_8_4]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t60:2)],[f_1_8]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t60:3)],[f_1_11]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t60:4)],[f_1_10]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t60:4]) ).
cnf(t68,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t60:5)],[f_1_9]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t60:5]) ).
cnf(t70,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| l1_cat_1(k12_nattra_1(sK1,sK3)) ),
inference(extension,[status(thm),parent(t58:3)],[f_8_5]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t58:3]) ).
cnf(t72,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t70:2)],[f_1_8]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t70:3)],[f_1_13]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t70:4)],[f_1_12]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t70:4]) ).
cnf(t78,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t70:5)],[f_1_9]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t70:5]) ).
cnf(t80,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| v2_cat_1(k12_nattra_1(sK1,sK3)) ),
inference(extension,[status(thm),parent(t58:4)],[f_8_4]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t58:4]) ).
cnf(t82,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t80:2)],[f_1_8]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t80:2]) ).
cnf(t84,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t80:3)],[f_1_13]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t80:3]) ).
cnf(t86,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t80:4)],[f_1_12]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t80:4]) ).
cnf(t88,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t80:5)],[f_1_9]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t80:5]) ).
cnf(t90,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| l1_cat_1(k12_nattra_1(sK1,sK2)) ),
inference(extension,[status(thm),parent(t58:5)],[f_8_5]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t58:5]) ).
cnf(t92,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t90:2)],[f_1_8]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t90:3)],[f_1_11]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t90:3]) ).
cnf(t96,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t90:4)],[f_1_10]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t90:4]) ).
cnf(t98,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t90:5)],[f_1_9]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t90:5]) ).
cnf(t100,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK1,sK3))
| ~ l1_cat_1(k12_nattra_1(sK1,sK3))
| ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| v2_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
inference(extension,[status(thm),parent(t2:6)],[f_7_3]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t2:6]) ).
cnf(t102,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| v2_cat_1(k12_nattra_1(sK1,sK2)) ),
inference(extension,[status(thm),parent(t100:2)],[f_8_4]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t102:2)],[f_1_8]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t102:3)],[f_1_11]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t102:3]) ).
cnf(t108,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t102:4)],[f_1_10]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t102:4]) ).
cnf(t110,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t102:5)],[f_1_9]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t102:5]) ).
cnf(t112,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| l1_cat_1(k12_nattra_1(sK1,sK3)) ),
inference(extension,[status(thm),parent(t100:3)],[f_8_5]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t100:3]) ).
cnf(t114,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t112:2)],[f_1_8]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(t116,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t112:3)],[f_1_13]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t112:3]) ).
cnf(t118,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t112:4)],[f_1_12]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t112:4]) ).
cnf(t120,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t112:5)],[f_1_9]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t112:5]) ).
cnf(t122,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| v2_cat_1(k12_nattra_1(sK1,sK3)) ),
inference(extension,[status(thm),parent(t100:4)],[f_8_4]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t100:4]) ).
cnf(t124,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t122:2)],[f_1_8]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t122:2]) ).
cnf(t126,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t122:3)],[f_1_13]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t122:3]) ).
cnf(t128,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t122:4)],[f_1_12]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t122:4]) ).
cnf(t130,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t122:5)],[f_1_9]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t122:5]) ).
cnf(t132,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| l1_cat_1(k12_nattra_1(sK1,sK2)) ),
inference(extension,[status(thm),parent(t100:5)],[f_8_5]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t100:5]) ).
cnf(t134,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t132:2)],[f_1_8]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t132:2]) ).
cnf(t136,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t132:3)],[f_1_11]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t132:3]) ).
cnf(t138,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t132:4)],[f_1_10]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t132:4]) ).
cnf(t140,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t132:5)],[f_1_9]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t132:5]) ).
cnf(t142,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(k11_cat_2(sK2,sK3))
| ~ l1_cat_1(k11_cat_2(sK2,sK3))
| ~ v2_cat_1(sK1)
| l1_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3))) ),
inference(extension,[status(thm),parent(t2:7)],[f_8_5]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t2:7]) ).
cnf(t144,plain,
v2_cat_1(sK1),
inference(extension,[status(thm),parent(t142:2)],[f_1_8]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| l1_cat_1(k11_cat_2(sK2,sK3)) ),
inference(extension,[status(thm),parent(t142:3)],[f_7_4]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t142:3]) ).
cnf(t148,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t146:2)],[f_1_10]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t146:2]) ).
cnf(t150,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t146:3)],[f_1_13]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t146:3]) ).
cnf(t152,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t146:4)],[f_1_12]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t146:4]) ).
cnf(t154,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t146:5)],[f_1_11]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t146:5]) ).
cnf(t156,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| v2_cat_1(k11_cat_2(sK2,sK3)) ),
inference(extension,[status(thm),parent(t142:4)],[f_7_3]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t142:4]) ).
cnf(t158,plain,
v2_cat_1(sK2),
inference(extension,[status(thm),parent(t156:2)],[f_1_10]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t156:2]) ).
cnf(t160,plain,
l1_cat_1(sK3),
inference(extension,[status(thm),parent(t156:3)],[f_1_13]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t156:3]) ).
cnf(t162,plain,
v2_cat_1(sK3),
inference(extension,[status(thm),parent(t156:4)],[f_1_12]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t156:4]) ).
cnf(t164,plain,
l1_cat_1(sK2),
inference(extension,[status(thm),parent(t156:5)],[f_1_11]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t156:5]) ).
cnf(t166,plain,
l1_cat_1(sK1),
inference(extension,[status(thm),parent(t142:5)],[f_1_9]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t142:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 14:17:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 24.05/24.34 % SZS status Theorem for theBenchmark
% 24.05/24.34 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------