TSTP Solution File: ITP303_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP303_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:30:36 EDT 2024
% Result : Theorem 7.80s 1.57s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 24 equ)
% Maximal formula atoms : 1 ( 7 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 164 ( 164 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 14 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 44 ( 7 sgn 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(f28,conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) = 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture27) ).
tff(f29,negated_conjecture,
( ~ 'nTCatDom$'('yFtorNT$'('c$','f$')) = 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))) ),
inference(negated_conjecture,[],[f28]) ).
tff(f38,axiom,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'nTCatDom$'(X0) = 'catDom$'('fun_app$r'('nTDom$',X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom36) ).
tff(f41,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'fun_app$s'('oppositeCategory$',X0) = 'catDom$'('homFtorContra$'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom39) ).
tff(f66,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homFtorContra$'(X0,X1) = 'homFtor$'('fun_app$s'('oppositeCategory$',X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom64) ).
tff(f208,axiom,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X2: 'A_ZF_fun$',X3: 'Unit$'] : ( 'fun_app$r'('nTDom$','natTrans_ext$a'(X0,X1,X2,X3)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom206) ).
tff(f210,axiom,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X2: 'A_ZF_fun$',X3: 'Unit$'] : ( 'fun_app$r'('nTCod$','natTrans_ext$a'(X0,X1,X2,X3)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom208) ).
tff(f527,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'B$'] : ( 'yFtorNT$'(X0,X1) = 'natTrans_ext$a'('homFtorContra$'(X0,'fun_app$ab'('dom$'(X0),X1)),'homFtorContra$'(X0,'fun_app$ab'('cod$a'(X0),X1)),'uum$'(X0,X1),'unity$') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom525) ).
tff(f592,plain,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(flattening,[],[f29]) ).
tff(f1796,plain,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(cnf_transformation,[],[f592]) ).
tff(f1805,plain,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'nTCatDom$'(X0) = 'catDom$'('fun_app$r'('nTDom$',X0)) ),
inference(cnf_transformation,[],[f38]) ).
tff(f1808,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'fun_app$s'('oppositeCategory$',X0) = 'catDom$'('homFtorContra$'(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
tff(f1841,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homFtorContra$'(X0,X1) = 'homFtor$'('fun_app$s'('oppositeCategory$',X0),X1) ),
inference(cnf_transformation,[],[f66]) ).
tff(f2052,plain,
! [X2: 'A_ZF_fun$',X3: 'Unit$',X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 'fun_app$r'('nTDom$','natTrans_ext$a'(X0,X1,X2,X3)) = X0 ),
inference(cnf_transformation,[],[f208]) ).
tff(f2054,plain,
! [X2: 'A_ZF_fun$',X3: 'Unit$',X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 'fun_app$r'('nTCod$','natTrans_ext$a'(X0,X1,X2,X3)) = X1 ),
inference(cnf_transformation,[],[f210]) ).
tff(f2642,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'B$'] : ( 'yFtorNT$'(X0,X1) = 'natTrans_ext$a'('homFtorContra$'(X0,'fun_app$ab'('dom$'(X0),X1)),'homFtorContra$'(X0,'fun_app$ab'('cod$a'(X0),X1)),'uum$'(X0,X1),'unity$') ),
inference(cnf_transformation,[],[f527]) ).
tff(f2755,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'B$'] : ( 'yFtorNT$'(X0,X1) = 'natTrans_ext$a'('homFtor$'('fun_app$s'('oppositeCategory$',X0),'fun_app$ab'('dom$'(X0),X1)),'homFtor$'('fun_app$s'('oppositeCategory$',X0),'fun_app$ab'('cod$a'(X0),X1)),'uum$'(X0,X1),'unity$') ),
inference(definition_unfolding,[],[f2642,f1841,f1841]) ).
tff(f2761,plain,
'catDom$'('fun_app$r'('nTDom$','natTrans_ext$a'('homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('dom$'('c$'),'f$')),'homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('cod$a'('c$'),'f$')),'uum$'('c$','f$'),'unity$'))) != 'catDom$'('fun_app$r'('nTCod$','natTrans_ext$a'('homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('dom$'('c$'),'f$')),'homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('cod$a'('c$'),'f$')),'uum$'('c$','f$'),'unity$'))),
inference(definition_unfolding,[],[f1796,f1805,f2755,f2755]) ).
tff(f2769,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'fun_app$s'('oppositeCategory$',X0) = 'catDom$'('homFtor$'('fun_app$s'('oppositeCategory$',X0),X1)) ),
inference(definition_unfolding,[],[f1808,f1841]) ).
cnf(c_98,negated_conjecture,
'catDom$'('fun_app$r'('nTDom$','natTrans_ext$a'('homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('dom$'('c$'),'f$')),'homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('cod$a'('c$'),'f$')),'uum$'('c$','f$'),'unity$'))) != 'catDom$'('fun_app$r'('nTCod$','natTrans_ext$a'('homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('dom$'('c$'),'f$')),'homFtor$'('fun_app$s'('oppositeCategory$','c$'),'fun_app$ab'('cod$a'('c$'),'f$')),'uum$'('c$','f$'),'unity$'))),
inference(cnf_transformation,[],[f2761]) ).
cnf(c_108,plain,
'catDom$'('homFtor$'('fun_app$s'('oppositeCategory$',X0_23),X0_74)) = 'fun_app$s'('oppositeCategory$',X0_23),
inference(cnf_transformation,[],[f2769]) ).
cnf(c_347,plain,
'fun_app$r'('nTDom$','natTrans_ext$a'(X0_21,X1_21,X0_85,X0_86)) = X0_21,
inference(cnf_transformation,[],[f2052]) ).
cnf(c_349,plain,
'fun_app$r'('nTCod$','natTrans_ext$a'(X0_21,X1_21,X0_85,X0_86)) = X1_21,
inference(cnf_transformation,[],[f2054]) ).
cnf(c_14337,plain,
'fun_app$s'('oppositeCategory$','c$') != 'fun_app$s'('oppositeCategory$','c$'),
inference(demodulation,[status(thm)],[c_98,c_108,c_347,c_349]) ).
cnf(c_14338,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_14337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP303_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 22:13:20 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.18/0.42 Running first-order theorem proving
% 0.18/0.42 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
% 7.80/1.57 % SZS status Started for theBenchmark.p
% 7.80/1.57 % SZS status Theorem for theBenchmark.p
% 7.80/1.57
% 7.80/1.57 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.80/1.57
% 7.80/1.57 ------ iProver source info
% 7.80/1.57
% 7.80/1.57 git: date: 2024-05-02 19:28:25 +0000
% 7.80/1.57 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.80/1.57 git: non_committed_changes: false
% 7.80/1.57
% 7.80/1.57 ------ Parsing...
% 7.80/1.57 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 7.80/1.57
% 7.80/1.57
% 7.80/1.57 ------ Preprocessing...
% 7.80/1.57
% 7.80/1.57 % SZS status Theorem for theBenchmark.p
% 7.80/1.57
% 7.80/1.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.80/1.57
% 7.80/1.57
%------------------------------------------------------------------------------