TSTP Solution File: CAT033+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Fri May 3 02:09:12 EDT 2024
% Result : Theorem 3.16s 1.15s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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,[],[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] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f58]) ).
fof(f94,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f94]) ).
fof(f100,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f101,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
( ? [X0] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( ~ m2_cat_1(k20_ens_1(sK0,X1),sK0,k1_yoneda_1(sK0))
& m1_subset_1(X1,u1_cat_1(sK0)) )
& l1_cat_1(sK0)
& v2_cat_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(sK0,X1),sK0,k1_yoneda_1(sK0))
& m1_subset_1(X1,u1_cat_1(sK0)) )
=> ( ~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0))
& m1_subset_1(sK1,u1_cat_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0))
& m1_subset_1(sK1,u1_cat_1(sK0))
& l1_cat_1(sK0)
& v2_cat_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f59,f105,f104]) ).
fof(f129,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f106]) ).
fof(f130,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f106]) ).
fof(f131,plain,
m1_subset_1(sK1,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f106]) ).
fof(f132,plain,
~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)),
inference(cnf_transformation,[],[f106]) ).
fof(f176,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f193,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f201,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f202,plain,
! [X2,X0,X1] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_49,negated_conjecture,
~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)),
inference(cnf_transformation,[],[f132]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK1,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f131]) ).
cnf(c_51,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f130]) ).
cnf(c_52,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f129]) ).
cnf(c_94,plain,
r1_tarski(X0,X0),
inference(cnf_transformation,[],[f176]) ).
cnf(c_111,plain,
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_119,plain,
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_ens_1(k17_ens_1(X0)) = k1_yoneda_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_120,plain,
( ~ m1_subset_1(X0,u1_cat_1(X1))
| ~ r1_tarski(k17_ens_1(X1),X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m2_cat_1(k20_ens_1(X1,X0),X1,k12_ens_1(X2))
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_147,plain,
( ~ v1_xboole_0(k17_ens_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_156,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_ens_1(k17_ens_1(sK0)) = k1_yoneda_1(sK0) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_1787,plain,
( k20_ens_1(X0,X1) != k20_ens_1(sK0,sK1)
| k12_ens_1(X2) != k1_yoneda_1(sK0)
| X0 != sK0
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ r1_tarski(k17_ens_1(X0),X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v1_xboole_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_49,c_120]) ).
cnf(c_1788,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| k12_ens_1(X1) != k1_yoneda_1(sK0)
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| ~ r1_tarski(k17_ens_1(sK0),X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| v1_xboole_0(X1) ),
inference(unflattening,[status(thm)],[c_1787]) ).
cnf(c_1790,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| k12_ens_1(X1) != k1_yoneda_1(sK0)
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| ~ r1_tarski(k17_ens_1(sK0),X1)
| v1_xboole_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1788,c_52,c_51,c_1788]) ).
cnf(c_2003,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| k12_ens_1(X1) != k1_yoneda_1(sK0)
| k17_ens_1(sK0) != X2
| X1 != X2
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_94,c_1790]) ).
cnf(c_2004,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| k12_ens_1(k17_ens_1(sK0)) != k1_yoneda_1(sK0)
| ~ m1_subset_1(X0,u1_cat_1(sK0))
| v1_xboole_0(k17_ens_1(sK0)) ),
inference(unflattening,[status(thm)],[c_2003]) ).
cnf(c_2006,plain,
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_2004,c_52,c_51,c_147,c_156,c_2004]) ).
cnf(c_2007,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| ~ m1_subset_1(X0,u1_cat_1(sK0)) ),
inference(renaming,[status(thm)],[c_2006]) ).
cnf(c_3490,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| ~ m1_subset_1(X0,u1_cat_1(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2007]) ).
cnf(c_5919,plain,
u1_cat_1(sK0) = sP0_iProver_def,
definition ).
cnf(c_5922,negated_conjecture,
m1_subset_1(sK1,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_50,c_5919]) ).
cnf(c_7992,plain,
( k20_ens_1(sK0,X0) != k20_ens_1(sK0,sK1)
| ~ m1_subset_1(X0,sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_3490,c_5919]) ).
cnf(c_7997,plain,
~ m1_subset_1(sK1,sP0_iProver_def),
inference(equality_resolution,[status(thm)],[c_7992]) ).
cnf(c_7998,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7997,c_5922]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 21:11:04 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.16/1.15 % SZS status Started for theBenchmark.p
% 3.16/1.15 % SZS status Theorem for theBenchmark.p
% 3.16/1.15
% 3.16/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.16/1.15
% 3.16/1.15 ------ iProver source info
% 3.16/1.15
% 3.16/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.16/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.16/1.15 git: non_committed_changes: false
% 3.16/1.15
% 3.16/1.15 ------ Parsing...
% 3.16/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.16/1.15
% 3.16/1.15 ------ 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
% 3.16/1.15
% 3.16/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.16/1.15
% 3.16/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.16/1.15 ------ Proving...
% 3.16/1.15 ------ Problem Properties
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 clauses 70
% 3.16/1.15 conjectures 3
% 3.16/1.15 EPR 23
% 3.16/1.15 Horn 56
% 3.16/1.15 unary 17
% 3.16/1.15 binary 28
% 3.16/1.15 lits 257
% 3.16/1.15 lits eq 19
% 3.16/1.15 fd_pure 0
% 3.16/1.15 fd_pseudo 0
% 3.16/1.15 fd_cond 1
% 3.16/1.15 fd_pseudo_cond 7
% 3.16/1.15 AC symbols 0
% 3.16/1.15
% 3.16/1.15 ------ Schedule dynamic 5 is on
% 3.16/1.15
% 3.16/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 ------
% 3.16/1.15 Current options:
% 3.16/1.15 ------
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 ------ Proving...
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 % SZS status Theorem for theBenchmark.p
% 3.16/1.15
% 3.16/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.15
% 3.16/1.15
%------------------------------------------------------------------------------