%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT025+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 : n010.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 01:01:14 PM UTC 2026
% Result : Theorem 0.98s 1.07s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 94 ( 36 unt; 4 def)
% Number of atoms : 437 ( 4 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 491 ( 212 ~; 204 |; 58 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 89 !; 11 ?; 21 :)
% 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(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_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(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,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(f13,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_isocat_2) ).
fof(f44,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_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(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,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(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(ennf_transformation,[],[f13]) ).
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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(flattening,[],[f67]) ).
fof(f92,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
inference(ennf_transformation,[],[f44]) ).
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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
inference(flattening,[],[f92]) ).
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(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,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(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f179,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_49,negated_conjecture,
~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,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(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,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_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,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,[],[f179]) ).
tcf(c_4057,definition,
iPr_def_12 = k11_cat_2(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_4058,definition,
iPr_def_13 = k12_nattra_1(iPr_def_12,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_4059,definition,
iPr_def_14 = k12_nattra_1(sK1,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_4060,definition,
iPr_def_15 = k12_nattra_1(sK0,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_4061,negated_conjecture,
l1_cat_1(sK0),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_4062,negated_conjecture,
v2_cat_1(sK0),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_4063,negated_conjecture,
l1_cat_1(sK1),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_4064,negated_conjecture,
v2_cat_1(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_4065,negated_conjecture,
l1_cat_1(sK2),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_4066,negated_conjecture,
v2_cat_1(sK2),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_4067,negated_conjecture,
~ r1_isocat_1(iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_49,c_4059,c_4060,c_4057,c_4058]) ).
tcf(c_6427,plain,
( v2_cat_1(iPr_def_12)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_4057,c_63]) ).
tcf(c_6428,plain,
v2_cat_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_6427,c_4063,c_4061,c_4064,c_4062]) ).
tcf(c_6439,plain,
( l1_cat_1(iPr_def_12)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_4057,c_64]) ).
tcf(c_6440,plain,
l1_cat_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_6439,c_4063,c_4061,c_4064,c_4062]) ).
tcf(c_6590,plain,
( v2_cat_1(iPr_def_14)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(superposition,[status(thm)],[c_4059,c_66]) ).
tcf(c_6591,plain,
( v2_cat_1(iPr_def_13)
| ~ l1_cat_1(iPr_def_12)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(iPr_def_12)
| ~ v2_cat_1(sK2) ),
inference(superposition,[status(thm)],[c_4058,c_66]) ).
tcf(c_6592,plain,
( v2_cat_1(iPr_def_15)
| ~ l1_cat_1(iPr_def_14)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(iPr_def_14)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_4060,c_66]) ).
tcf(c_6593,plain,
( v2_cat_1(iPr_def_15)
| ~ l1_cat_1(iPr_def_14)
| ~ v2_cat_1(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6592,c_4061,c_4062]) ).
tcf(c_6597,plain,
v2_cat_1(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_6591,c_6440,c_4065,c_6428,c_4066]) ).
tcf(c_6598,plain,
v2_cat_1(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_6590,c_4065,c_4063,c_4066,c_4064]) ).
tcf(c_6599,plain,
( v2_cat_1(iPr_def_15)
| ~ l1_cat_1(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6593,c_6598]) ).
tcf(c_6612,plain,
( l1_cat_1(iPr_def_14)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(superposition,[status(thm)],[c_4059,c_67]) ).
tcf(c_6613,plain,
( l1_cat_1(iPr_def_13)
| ~ l1_cat_1(iPr_def_12)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(iPr_def_12)
| ~ v2_cat_1(sK2) ),
inference(superposition,[status(thm)],[c_4058,c_67]) ).
tcf(c_6614,plain,
( l1_cat_1(iPr_def_15)
| ~ l1_cat_1(iPr_def_14)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(iPr_def_14)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_4060,c_67]) ).
tcf(c_6615,plain,
( l1_cat_1(iPr_def_15)
| ~ l1_cat_1(iPr_def_14)
| ~ v2_cat_1(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6614,c_4061,c_4062]) ).
tcf(c_6619,plain,
l1_cat_1(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_6613,c_6440,c_4065,c_6428,c_4066]) ).
tcf(c_6620,plain,
l1_cat_1(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_6612,c_4065,c_4063,c_4066,c_4064]) ).
tcf(c_6621,plain,
( l1_cat_1(iPr_def_15)
| ~ v2_cat_1(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6615,c_6620]) ).
tcf(c_6652,plain,
v2_cat_1(iPr_def_15),
inference(global_subsumption_just,[status(thm)],[c_6599,c_6599,c_6620]) ).
tcf(c_6654,plain,
l1_cat_1(iPr_def_15),
inference(global_subsumption_just,[status(thm)],[c_6621,c_6598,c_6621]) ).
tcf(c_7002,plain,
! [X0: $i] :
( m2_cat_1(k7_isocat_2(X0,sK1,sK2),k12_nattra_1(k11_cat_2(X0,sK1),sK2),k12_nattra_1(X0,iPr_def_14))
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(superposition,[status(thm)],[c_4059,c_68]) ).
tcf(c_7015,plain,
! [X0: $i] :
( m2_cat_1(k7_isocat_2(X0,sK1,sK2),k12_nattra_1(k11_cat_2(X0,sK1),sK2),k12_nattra_1(X0,iPr_def_14))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7002,c_4065,c_4063,c_4066,c_4064]) ).
tcf(c_7068,plain,
! [X0: $i] :
( v8_cat_1(k7_isocat_2(X0,sK1,sK2),k12_nattra_1(k11_cat_2(X0,sK1),sK2),k12_nattra_1(X0,iPr_def_14))
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(superposition,[status(thm)],[c_4059,c_113]) ).
tcf(c_7079,plain,
! [X0: $i] :
( v8_cat_1(k7_isocat_2(X0,sK1,sK2),k12_nattra_1(k11_cat_2(X0,sK1),sK2),k12_nattra_1(X0,iPr_def_14))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7068,c_4065,c_4063,c_4066,c_4064]) ).
tcf(c_7542,plain,
( m2_cat_1(k7_isocat_2(sK0,sK1,sK2),k12_nattra_1(k11_cat_2(sK0,sK1),sK2),iPr_def_15)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_4060,c_7015]) ).
tcf(c_7545,plain,
( m2_cat_1(k7_isocat_2(sK0,sK1,sK2),iPr_def_13,iPr_def_15)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_7542,c_4057,c_4058]) ).
tcf(c_7546,plain,
m2_cat_1(k7_isocat_2(sK0,sK1,sK2),iPr_def_13,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_7545,c_4061,c_4062]) ).
tcf(c_7576,plain,
( r1_isocat_1(iPr_def_13,iPr_def_15)
| ~ l1_cat_1(iPr_def_15)
| ~ l1_cat_1(iPr_def_13)
| ~ v2_cat_1(iPr_def_15)
| ~ v2_cat_1(iPr_def_13)
| ~ v8_cat_1(k7_isocat_2(sK0,sK1,sK2),iPr_def_13,iPr_def_15) ),
inference(superposition,[status(thm)],[c_7546,c_58]) ).
tcf(c_7578,plain,
~ v8_cat_1(k7_isocat_2(sK0,sK1,sK2),iPr_def_13,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_7576,c_4067,c_6654,c_6619,c_6652,c_6597]) ).
tcf(c_8345,plain,
( v8_cat_1(k7_isocat_2(sK0,sK1,sK2),k12_nattra_1(k11_cat_2(sK0,sK1),sK2),iPr_def_15)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_4060,c_7079]) ).
tcf(c_8346,plain,
( v8_cat_1(k7_isocat_2(sK0,sK1,sK2),iPr_def_13,iPr_def_15)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_8345,c_4057,c_4058]) ).
tcf(c_8347,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8346,c_7578,c_4061,c_4062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 07:01:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 0.98/1.07 % SZS status Started for theBenchmark.p
% 0.98/1.07 % SZS status Theorem for theBenchmark.p
% 0.98/1.07
% 0.98/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.98/1.07
% 0.98/1.07 % ------ iProver source info
% 0.98/1.07
% 0.98/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 0.98/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.98/1.07 % git: non_committed_changes: false
% 0.98/1.07
% 0.98/1.07 % ------ Parsing...
% 0.98/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.98/1.07
% 0.98/1.07 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.98/1.07
% 0.98/1.07 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.98/1.07
% 0.98/1.07 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 0.98/1.07 % ------ Proving...
% 0.98/1.07 % ------ Problem Properties
% 0.98/1.07
% 0.98/1.07 %
% 0.98/1.07 % clauses 76
% 0.98/1.07 % conjectures 7
% 0.98/1.07 % EPR 25
% 0.98/1.07 % Horn 64
% 0.98/1.07 % unary 22
% 0.98/1.07 % binary 23
% 0.98/1.07 % lits 298
% 0.98/1.07 % lits eq 19
% 0.98/1.07 % fd_pure 0
% 0.98/1.07 % fd_pseudo 0
% 0.98/1.07 % fd_cond 1
% 0.98/1.07 % fd_pseudo_cond 7
% 0.98/1.07 % AC symbols 0
% 0.98/1.07
% 0.98/1.07 % ------ Schedule dynamic 5 is on
% 0.98/1.07
% 0.98/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.98/1.07
% 0.98/1.07
% 0.98/1.07 % ------
% 0.98/1.07 % Current options:
% 0.98/1.07 % ------
% 0.98/1.07
% 0.98/1.07
% 0.98/1.07 %
% 0.98/1.07
% 0.98/1.07 % ------ Proving...
% 0.98/1.07 %
% 0.98/1.07
% 0.98/1.07 % SZS status Theorem for theBenchmark.p
% 0.98/1.07
% 0.98/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.98/1.08
%------------------------------------------------------------------------------