%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT033+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 : n004.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 3.80s 1.26s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 17 unt; 2 def)
% Number of atoms : 147 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 176 ( 83 ~; 69 |; 14 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 1 sgn 49 !; 4 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yoneda_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f32,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f46,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ~ v1_xboole_0(k17_ens_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_ens_1) ).
fof(f53,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yoneda_1) ).
fof(f54,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> ( r1_tarski(k17_ens_1(X1),X0)
=> m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_ens_1) ).
fof(f55,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f32]) ).
fof(f58,plain,
? [X0] :
( l1_cat_1(X0)
& v2_cat_1(X0)
& ? [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
& ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f59,plain,
? [X0] :
( l1_cat_1(X0)
& v2_cat_1(X0)
& ? [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
& ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
inference(flattening,[],[f58]) ).
fof(f94,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v1_xboole_0(k17_ens_1(X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v1_xboole_0(k17_ens_1(X0)) ),
inference(flattening,[],[f94]) ).
fof(f100,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f101,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ r1_tarski(k17_ens_1(X1),X0)
| m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f103,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ r1_tarski(k17_ens_1(X1),X0)
| m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
( l1_cat_1(sK0)
& v2_cat_1(sK0)
& m1_subset_1(sK1,u1_cat_1(sK0))
& ~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f59]) ).
fof(f117,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f118,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f119,plain,
m1_subset_1(sK1,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f120,plain,
~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f164,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f181,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v1_xboole_0(k17_ens_1(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f189,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f190,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ r1_tarski(k17_ens_1(X1),X0)
| m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_49,negated_conjecture,
~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)),
inference(cnf_transformation,[],[f120]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK1,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f119]) ).
tcf(c_51,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f118]) ).
tcf(c_52,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f117]) ).
tcf(c_94,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f164]) ).
tcf(c_111,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v1_xboole_0(k17_ens_1(X0)) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_119,plain,
! [X0: $i] :
( ( k12_ens_1(k17_ens_1(X0)) = k1_yoneda_1(X0) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| m2_cat_1(k20_ens_1(X1,X0),X1,k12_ens_1(X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ r1_tarski(k17_ens_1(X1),X2)
| ~ m1_subset_1(X0,u1_cat_1(X1)) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_147,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ v1_xboole_0(k17_ens_1(sK0)) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_156,plain,
( ( k12_ens_1(k17_ens_1(sK0)) = k1_yoneda_1(sK0) )
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ r1_tarski(k17_ens_1(X0),X2)
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ( X0 != sK0 )
| ( k12_ens_1(X2) != k1_yoneda_1(sK0) )
| ( k20_ens_1(X0,X1) != k20_ens_1(sK0,sK1) ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_120]) ).
tcf(c_1788,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ r1_tarski(k17_ens_1(sK0),X1)
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| ( k12_ens_1(X1) != k1_yoneda_1(sK0) )
| ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ) ),
inference(unflattening,[status(thm)],[c_1787]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ r1_tarski(k17_ens_1(sK0),X1)
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| ( k12_ens_1(X1) != k1_yoneda_1(sK0) )
| ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ) ),
inference(global_subsumption_just,[status(thm)],[c_1788,c_52,c_51,c_1788]) ).
tcf(c_2003,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| ( X1 != X2 )
| ( k17_ens_1(sK0) != X2 )
| ( k12_ens_1(X1) != k1_yoneda_1(sK0) )
| ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_1790]) ).
tcf(c_2004,plain,
! [X0: $i] :
( v1_xboole_0(k17_ens_1(sK0))
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| ( k12_ens_1(k17_ens_1(sK0)) != k1_yoneda_1(sK0) )
| ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ) ),
inference(unflattening,[status(thm)],[c_2003]) ).
tcf(c_2006,plain,
! [X0: $i] :
( ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) )
| ~ m1_subset_1(X0,u1_cat_1(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_2004,c_52,c_51,c_147,c_156,c_2004]) ).
tcf(c_2007,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ) ),
inference(renaming,[status(thm)],[c_2006]) ).
tcf(c_3490,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| ( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ) ),
inference(prop_impl_just,[status(thm)],[c_2007]) ).
tcf(c_5921,definition,
iPr_def_12 = k20_ens_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5922,definition,
iPr_def_13 = u1_cat_1(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_5926,negated_conjecture,
m1_subset_1(sK1,iPr_def_13),
inference(demodulation,[status(thm)],[c_50,c_5922]) ).
tcf(c_7988,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_13)
| ( k20_ens_1(sK0,X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_3490,c_5921,c_5922]) ).
tcf(c_7995,plain,
~ m1_subset_1(sK1,iPr_def_13),
inference(superposition,[status(thm)],[c_5921,c_7988]) ).
tcf(c_7996,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7995,c_5926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 07:04:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.35 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...
% 3.80/1.26 % SZS status Started for theBenchmark.p
% 3.80/1.26 % SZS status Theorem for theBenchmark.p
% 3.80/1.26
% 3.80/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.26
% 3.80/1.26 % ------ iProver source info
% 3.80/1.26
% 3.80/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.26 % git: non_committed_changes: false
% 3.80/1.26
% 3.80/1.26 % ------ Parsing...
% 3.80/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.80/1.26
% 3.80/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.80/1.26
% 3.80/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.80/1.26
% 3.80/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.26 % ------ Proving...
% 3.80/1.26 % ------ Problem Properties
% 3.80/1.26
% 3.80/1.26 %
% 3.80/1.26 % clauses 73
% 3.80/1.26 % conjectures 3
% 3.80/1.26 % EPR 24
% 3.80/1.26 % Horn 59
% 3.80/1.26 % unary 20
% 3.80/1.26 % binary 28
% 3.80/1.26 % lits 260
% 3.80/1.26 % lits eq 22
% 3.80/1.26 % fd_pure 0
% 3.80/1.26 % fd_pseudo 0
% 3.80/1.26 % fd_cond 1
% 3.80/1.26 % fd_pseudo_cond 7
% 3.80/1.26 % AC symbols 0
% 3.80/1.26
% 3.80/1.26 % ------ Schedule dynamic 5 is on
% 3.80/1.26
% 3.80/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.26
% 3.80/1.26
% 3.80/1.26 % ------
% 3.80/1.26 % Current options:
% 3.80/1.26 % ------
% 3.80/1.26
% 3.80/1.26
% 3.80/1.26 %
% 3.80/1.26
% 3.80/1.26 % ------ Proving...
% 3.80/1.26 %
% 3.80/1.26
% 3.80/1.26 % SZS status Theorem for theBenchmark.p
% 3.80/1.26
% 3.80/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.26
% 3.80/1.26
%------------------------------------------------------------------------------