TSTP Solution File: SCT122+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT122+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 21:16:27 EDT 2022
% Result : Theorem 9.70s 2.87s
% Output : CNFRefutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of clauses : 60 ( 26 unt; 11 nHn; 37 RR)
% Number of literals : 123 ( 15 equ; 59 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-4 aty)
% Number of variables : 110 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_440,plain,
( c_member(X1,X2,X3)
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_440) ).
cnf(i_0_441,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_member(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_441) ).
cnf(i_0_33,hypothesis,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_33) ).
cnf(i_0_29,hypothesis,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_29) ).
cnf(i_0_28,hypothesis,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_28) ).
cnf(i_0_27,hypothesis,
c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_27) ).
cnf(i_0_30,hypothesis,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_30) ).
cnf(i_0_668,plain,
( c_Transitive__Closure_Otrancl(X1,X2) = X2
| ~ c_Relation_Otrans(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_668) ).
cnf(i_0_32,hypothesis,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_32) ).
cnf(i_0_405,plain,
( ~ c_Relation_Oirrefl(X1,X2)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_405) ).
cnf(i_0_404,plain,
( c_Relation_Oirrefl(X1,X2)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk41_2(X2,X1),esk41_2(X2,X1)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_404) ).
cnf(i_0_519,plain,
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_519) ).
cnf(i_0_34,hypothesis,
( X1 = X2
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk2_0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk2_0))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk2_0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_34) ).
cnf(i_0_345,plain,
( c_Set_Oinsert(X1,X2,X3) = X3
| ~ c_member(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_345) ).
cnf(i_0_726,plain,
c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_726) ).
cnf(i_0_52,plain,
( ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_52) ).
cnf(i_0_656,plain,
( X1 = X2
| c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
| c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
| ~ c_Relation_Ototal__on(X3,X5,X4)
| ~ c_member(X3,X2,X5)
| ~ c_member(X3,X1,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_656) ).
cnf(i_0_49,plain,
( c_Wellfounded_Oacyclic(X1,X2)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk6_2(X2,X1),esk6_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_49) ).
cnf(i_0_35,negated_conjecture,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_35) ).
cnf(i_0_542,plain,
c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z0n_4fjk/lgb.p',i_0_542) ).
cnf(c_0_747,plain,
( c_member(X1,X2,X3)
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_440 ).
cnf(c_0_748,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_member(X3,X2,X1) ),
i_0_441 ).
cnf(c_0_749,hypothesis,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk1_0)) ),
i_0_33 ).
cnf(c_0_750,hypothesis,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
i_0_29 ).
cnf(c_0_751,hypothesis,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
i_0_28 ).
cnf(c_0_752,hypothesis,
c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)),
i_0_27 ).
cnf(c_0_753,plain,
( c_member(X1,X2,X3)
| ~ c_member(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
cnf(c_0_754,hypothesis,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
i_0_30 ).
cnf(c_0_755,plain,
( c_Transitive__Closure_Otrancl(X1,X2) = X2
| ~ c_Relation_Otrans(X1,X2) ),
i_0_668 ).
cnf(c_0_756,hypothesis,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_749,c_0_750]),c_0_751]),c_0_752])]) ).
cnf(c_0_757,hypothesis,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk1_0))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk1_0)) ),
i_0_32 ).
cnf(c_0_758,plain,
( ~ c_Relation_Oirrefl(X1,X2)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
i_0_405 ).
cnf(c_0_759,plain,
( c_Relation_Oirrefl(X1,X2)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk41_2(X2,X1),esk41_2(X2,X1)),X2) ),
i_0_404 ).
cnf(c_0_760,plain,
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
i_0_519 ).
cnf(c_0_761,hypothesis,
c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
inference(spm,[status(thm)],[c_0_753,c_0_754]) ).
cnf(c_0_762,plain,
c_Transitive__Closure_Otrancl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) = v_F(v_P),
inference(spm,[status(thm)],[c_0_755,c_0_756]) ).
cnf(c_0_763,hypothesis,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_757,c_0_750]),c_0_751]),c_0_752])]) ).
cnf(c_0_764,hypothesis,
( X1 = X2
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk2_0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk2_0))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk2_0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
i_0_34 ).
cnf(c_0_765,plain,
( c_Set_Oinsert(X1,X2,X3) = X3
| ~ c_member(X1,X2,X3) ),
i_0_345 ).
cnf(c_0_766,plain,
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk41_2(X2,X1),esk41_2(X2,X1)),X2)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
inference(spm,[status(thm)],[c_0_758,c_0_759]) ).
cnf(c_0_767,hypothesis,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_b),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_a),v_F(v_P)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_761]),c_0_762]) ).
cnf(c_0_768,hypothesis,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_F(v_P)),
inference(spm,[status(thm)],[c_0_758,c_0_763]) ).
cnf(c_0_769,hypothesis,
( X1 = X2
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_764,c_0_750]),c_0_751]),c_0_752])]) ).
cnf(c_0_770,plain,
c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
i_0_726 ).
cnf(c_0_771,plain,
( ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
i_0_52 ).
cnf(c_0_772,hypothesis,
c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)) = v_F(v_P),
inference(spm,[status(thm)],[c_0_765,c_0_761]) ).
cnf(c_0_773,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_767]),c_0_768]) ).
cnf(c_0_774,plain,
( X1 = X2
| c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
inference(spm,[status(thm)],[c_0_753,c_0_769]) ).
cnf(c_0_775,plain,
( X1 = X2
| c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
| c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
| ~ c_Relation_Ototal__on(X3,X5,X4)
| ~ c_member(X3,X2,X5)
| ~ c_member(X3,X1,X5) ),
i_0_656 ).
cnf(c_0_776,plain,
c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),
inference(spm,[status(thm)],[c_0_753,c_0_770]) ).
cnf(c_0_777,hypothesis,
( ~ c_Wellfounded_Oacyclic(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))) ),
inference(spm,[status(thm)],[c_0_771,c_0_772]) ).
cnf(c_0_778,plain,
( c_Wellfounded_Oacyclic(X1,X2)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk6_2(X2,X1),esk6_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
i_0_49 ).
cnf(c_0_779,plain,
( v_b = v_a
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i)) ),
inference(spm,[status(thm)],[c_0_773,c_0_774]) ).
cnf(c_0_780,hypothesis,
( X1 = X2
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,X3))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),hAPP(v_P,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_752]),c_0_776]),c_0_776])]) ).
cnf(c_0_781,negated_conjecture,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
i_0_35 ).
cnf(c_0_782,plain,
c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X3)),
i_0_542 ).
cnf(c_0_783,hypothesis,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_778]),c_0_762]),c_0_768]) ).
cnf(c_0_784,plain,
v_b = v_a,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_779,c_0_780]),c_0_781]) ).
cnf(c_0_785,plain,
c_member(X1,c_Product__Type_OPair(X2,X2,X3,X3),c_Transitive__Closure_Ortrancl(X2,X4)),
inference(spm,[status(thm)],[c_0_753,c_0_782]) ).
cnf(c_0_786,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_783,c_0_784]),c_0_785])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SCT122+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 2 04:46:11 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.51 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.70/2.87 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.70/2.87 # No SInE strategy applied
% 9.70/2.87 # Trying AutoSched0 for 150 seconds
% 9.70/2.87 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S032I
% 9.70/2.87 # and selection function SelectUnlessUniqMax.
% 9.70/2.87 #
% 9.70/2.87 # Preprocessing time : 0.013 s
% 9.70/2.87 # Presaturation interreduction done
% 9.70/2.87
% 9.70/2.87 # Proof found!
% 9.70/2.87 # SZS status Theorem
% 9.70/2.87 # SZS output start CNFRefutation
% See solution above
% 9.70/2.87 # Training examples: 0 positive, 0 negative
% 9.70/2.87
% 9.70/2.87 # -------------------------------------------------
% 9.70/2.87 # User time : 0.119 s
% 9.70/2.87 # System time : 0.010 s
% 9.70/2.87 # Total time : 0.129 s
% 9.70/2.87 # Maximum resident set size: 7160 pages
% 9.70/2.87
%------------------------------------------------------------------------------