%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 01:01:16 PM UTC 2026
% Result : Theorem 3.47s 1.40s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 73 ( 16 unt; 0 def)
% Number of atoms : 398 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 600 ( 275 ~; 250 |; 58 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 102 ( 0 sgn 91 !; 11 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_isocat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f8,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_isocat_2) ).
fof(f45,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_isocat_2) ).
fof(f54,plain,
? [X0] :
( l1_cat_1(X0)
& v2_cat_1(X0)
& ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f55,plain,
? [X0] :
( l1_cat_1(X0)
& v2_cat_1(X0)
& ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(flattening,[],[f54]) ).
fof(f59,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f60,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) ) ) ),
inference(flattening,[],[f59]) ).
fof(f63,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f64,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
inference(flattening,[],[f67]) ).
fof(f93,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f94,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(flattening,[],[f93]) ).
fof(f101,plain,
( l1_cat_1(sK0)
& v2_cat_1(sK0)
& l1_cat_1(sK1)
& v2_cat_1(sK1)
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& ~ r1_isocat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f55]) ).
fof(f102,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ( ( ~ r1_isocat_1(X0,X1)
| ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) )
& ( ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) )
| r1_isocat_1(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f103,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ( ( ~ r1_isocat_1(X0,X1)
| ? [X3] :
( v8_cat_1(X3,X0,X1)
& m2_cat_1(X3,X0,X1) ) )
& ( ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) )
| r1_isocat_1(X0,X1) ) ) ) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ( ( ~ r1_isocat_1(X0,X1)
| ( v8_cat_1(sK3(X0,X1),X0,X1)
& m2_cat_1(sK3(X0,X1),X0,X1) ) )
& ( ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) )
| r1_isocat_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f103]) ).
fof(f115,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f116,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f117,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f118,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f119,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f101]) ).
fof(f120,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f101]) ).
fof(f121,plain,
~ r1_isocat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))),
inference(cnf_transformation,[],[f101]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| r1_isocat_1(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f129,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| l1_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f130,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v2_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f131,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| l1_cat_1(k12_nattra_1(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f132,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v2_cat_1(k12_nattra_1(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_49,negated_conjecture,
~ r1_isocat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))),
inference(cnf_transformation,[],[f121]) ).
tcf(c_50,negated_conjecture,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f120]) ).
tcf(c_51,negated_conjecture,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f119]) ).
tcf(c_52,negated_conjecture,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f118]) ).
tcf(c_53,negated_conjecture,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f117]) ).
tcf(c_54,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f116]) ).
tcf(c_55,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f115]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_isocat_1(X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v8_cat_1(X0,X1,X2)
| ~ m2_cat_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_68,c_58]) ).
tcf(c_558,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
inference(global_subsumption_just,[status(thm)],[c_528,c_114,c_528]) ).
tcf(c_583,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ),
inference(superposition,[status(thm)],[c_558,c_49]) ).
tcf(c_586,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_583,c_55,c_54,c_53,c_52,c_51,c_50,c_583]) ).
tcf(c_596,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ),
inference(superposition,[status(thm)],[c_63,c_586]) ).
tcf(c_627,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_596,c_64]) ).
tcf(c_646,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) ),
inference(superposition,[status(thm)],[c_66,c_627]) ).
tcf(c_647,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_646,c_55,c_54,c_646]) ).
tcf(c_663,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_67,c_647]) ).
tcf(c_664,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_663,c_55,c_54,c_663]) ).
tcf(c_678,plain,
( ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_66,c_664]) ).
tcf(c_679,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK0,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_678,c_55,c_54,c_53,c_52,c_678]) ).
tcf(c_691,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_66,c_679]) ).
tcf(c_692,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,sK1))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_691,c_55,c_54,c_51,c_50,c_691]) ).
tcf(c_702,plain,
( ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_67,c_692]) ).
tcf(c_703,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_702,c_55,c_54,c_53,c_52,c_702]) ).
tcf(c_711,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_67,c_703]) ).
tcf(c_712,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_711,c_55,c_54,c_51,c_50,c_711]) ).
tcf(c_718,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_63,c_712]) ).
tcf(c_719,plain,
~ l1_cat_1(k11_cat_2(sK1,sK2)),
inference(global_subsumption_just,[status(thm)],[c_718,c_53,c_52,c_51,c_50,c_718]) ).
tcf(c_721,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(superposition,[status(thm)],[c_64,c_719]) ).
tcf(c_722,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_721,c_50,c_51,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n020.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 07:05:04 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.51
% 0.16/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.51
% 0.24/0.51 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 3.47/1.40 % SZS status Started for theBenchmark.p
% 3.47/1.40 % SZS status Theorem for theBenchmark.p
% 3.47/1.40
% 3.47/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.47/1.40
% 3.47/1.40 % ------ iProver source info
% 3.47/1.40
% 3.47/1.40 % git: date: 2026-07-19 20:42:38 +0200
% 3.47/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.47/1.40 % git: non_committed_changes: false
% 3.47/1.40
% 3.47/1.40 % ------ Parsing...
% 3.47/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.47/1.40 % ------ Proving...
% 3.47/1.40 % ------ Problem Properties
% 3.47/1.40
% 3.47/1.40 %
% 3.47/1.40 % clauses 71
% 3.47/1.40 % conjectures 7
% 3.47/1.40 % EPR 23
% 3.47/1.40 % Horn 60
% 3.47/1.40 % unary 18
% 3.47/1.40 % binary 23
% 3.47/1.40 % lits 292
% 3.47/1.40 % lits eq 15
% 3.47/1.40 % fd_pure 0
% 3.47/1.40 % fd_pseudo 0
% 3.47/1.40 % fd_cond 1
% 3.47/1.40 % fd_pseudo_cond 7
% 3.47/1.40 % AC symbols 0
% 3.47/1.40
% 3.47/1.40 % ------ Input Options Time Limit: Unbounded
% 3.47/1.40
% 3.47/1.40
% 3.47/1.40 % ------
% 3.47/1.40 % Current options:
% 3.47/1.40 % ------
% 3.47/1.40
% 3.47/1.40
% 3.47/1.40 %
% 3.47/1.40
% 3.47/1.40 % ------ Proving...
% 3.47/1.40 %
% 3.47/1.40
% 3.47/1.40 % ------ Proving...
% 3.47/1.40 %
% 3.47/1.40
% 3.47/1.40 % ------ Proving...
% 3.47/1.40 %
% 3.47/1.40
% 3.47/1.40 % ------ Proving...
% 3.47/1.40 %
% 3.47/1.40
% 3.47/1.40 % SZS status Theorem for theBenchmark.p
% 3.47/1.40
% 3.47/1.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.40
%------------------------------------------------------------------------------