TSTP Solution File: SCT131+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Thu Aug 31 14:17:39 EDT 2023
% Result : Theorem 10.24s 2.17s
% Output : CNFRefutation 10.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 21 unt; 0 def)
% Number of atoms : 108 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 41 ~; 37 |; 5 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 114 ( 7 sgn; 83 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).
fof(f6,axiom,
! [X3] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096) ).
fof(f31,axiom,
! [X7,X11,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X11),X7))
<=> hBOOL(hAPP(X7,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f32,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096Q_A_058_AProf_096) ).
fof(f47,axiom,
! [X25] :
( c_Arrow__Order__Mirabelle_Ounanimity(X25)
<=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
=> ! [X32,X33] :
( ! [X12] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X32),X33)),hAPP(X2,X12)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X32),X33)),hAPP(X25,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unanimity__def) ).
fof(f204,axiom,
! [X7,X18,X19,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X19),c_Set_Oinsert(X5,X18,X7)))
<=> ( hBOOL(hAPP(hAPP(c_member(X5),X19),X7))
| X18 = X19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__iff) ).
fof(f207,axiom,
! [X7,X19,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X19),X7))
=> c_Set_Oinsert(X5,X19,X7) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__absorb) ).
fof(f535,conjecture,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f536,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
inference(negated_conjecture,[],[f535]) ).
fof(f537,plain,
! [X0] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
inference(rectify,[],[f6]) ).
fof(f553,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
<=> hBOOL(hAPP(X0,X1)) ),
inference(rectify,[],[f31]) ).
fof(f567,plain,
! [X0] :
( c_Arrow__Order__Mirabelle_Ounanimity(X0)
<=> ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
=> ! [X2,X3] :
( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ) ) ),
inference(rectify,[],[f47]) ).
fof(f724,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X1,X0)))
<=> ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2 ) ),
inference(rectify,[],[f204]) ).
fof(f727,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
=> c_Set_Oinsert(X2,X1,X0) = X0 ),
inference(rectify,[],[f207]) ).
fof(f1035,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
inference(flattening,[],[f536]) ).
fof(f1039,plain,
! [X0] :
( c_Arrow__Order__Mirabelle_Ounanimity(X0)
=> ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
=> ! [X2,X3] :
( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ) ) ),
inference(unused_predicate_definition_removal,[],[f567]) ).
fof(f1072,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
| ? [X4] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4))) )
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) )
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
inference(ennf_transformation,[],[f1039]) ).
fof(f1242,plain,
! [X0,X1,X2] :
( c_Set_Oinsert(X2,X1,X0) = X0
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(ennf_transformation,[],[f727]) ).
fof(f1532,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) )
& ( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ) ),
inference(nnf_transformation,[],[f553]) ).
fof(f1557,plain,
! [X1,X2,X3] :
( ? [X4] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,sK7(X1,X2,X3)))) ),
introduced(choice_axiom,[]) ).
fof(f1558,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,sK7(X1,X2,X3)))) )
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) )
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1072,f1557]) ).
fof(f1684,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X1,X0)))
| ( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& X1 != X2 ) )
& ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X1,X0))) ) ),
inference(nnf_transformation,[],[f724]) ).
fof(f1685,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X1,X0)))
| ( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& X1 != X2 ) )
& ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X1,X0))) ) ),
inference(flattening,[],[f1684]) ).
fof(f1823,plain,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
inference(cnf_transformation,[],[f2]) ).
fof(f1827,plain,
! [X0] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
inference(cnf_transformation,[],[f537]) ).
fof(f1872,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(cnf_transformation,[],[f1532]) ).
fof(f1873,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f1532]) ).
fof(f1874,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(cnf_transformation,[],[f32]) ).
fof(f1925,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,sK7(X1,X2,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
inference(cnf_transformation,[],[f1558]) ).
fof(f2168,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X1,X0)))
| X1 != X2 ),
inference(cnf_transformation,[],[f1685]) ).
fof(f2173,plain,
! [X2,X0,X1] :
( c_Set_Oinsert(X2,X1,X0) = X0
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(cnf_transformation,[],[f1242]) ).
fof(f2612,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
inference(cnf_transformation,[],[f1035]) ).
fof(f2677,plain,
! [X2,X3,X0] : hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oinsert(X3,X2,X0))),
inference(equality_resolution,[],[f2168]) ).
cnf(c_50,plain,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
inference(cnf_transformation,[],[f1823]) ).
cnf(c_54,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
inference(cnf_transformation,[],[f1827]) ).
cnf(c_88,plain,
( ~ hBOOL(hAPP(X0,X1))
| hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(cnf_transformation,[],[f1873]) ).
cnf(c_89,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[],[f1872]) ).
cnf(c_90,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(cnf_transformation,[],[f1874]) ).
cnf(c_138,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),hAPP(X2,sK7(X2,X0,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),hAPP(X3,X2))) ),
inference(cnf_transformation,[],[f1925]) ).
cnf(c_376,plain,
hBOOL(hAPP(hAPP(c_member(X0),X1),c_Set_Oinsert(X0,X1,X2))),
inference(cnf_transformation,[],[f2677]) ).
cnf(c_381,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| c_Set_Oinsert(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f2173]) ).
cnf(c_810,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
inference(cnf_transformation,[],[f2612]) ).
cnf(c_8787,plain,
( X0 != v_F
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,sK7(X3,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X0,X3))) ),
inference(resolution_lifted,[status(thm)],[c_50,c_138]) ).
cnf(c_8788,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),hAPP(X2,sK7(X2,X0,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),hAPP(v_F,X2))) ),
inference(unflattening,[status(thm)],[c_8787]) ).
cnf(c_32080,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)),
inference(superposition,[status(thm)],[c_90,c_89]) ).
cnf(c_33470,plain,
( ~ hBOOL(hAPP(X0,X1))
| c_Set_Oinsert(X2,X1,X0) = X0 ),
inference(superposition,[status(thm)],[c_88,c_381]) ).
cnf(c_33988,plain,
c_Set_Oinsert(X0,v_Q____,c_Arrow__Order__Mirabelle_OProf) = c_Arrow__Order__Mirabelle_OProf,
inference(superposition,[status(thm)],[c_32080,c_33470]) ).
cnf(c_34387,plain,
hBOOL(hAPP(hAPP(c_member(X0),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(superposition,[status(thm)],[c_33988,c_376]) ).
cnf(c_36860,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))) ),
inference(superposition,[status(thm)],[c_54,c_8788]) ).
cnf(c_36868,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_36860,c_810,c_34387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n001.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 17:11:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.24/2.17 % SZS status Started for theBenchmark.p
% 10.24/2.17 % SZS status Theorem for theBenchmark.p
% 10.24/2.17
% 10.24/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.24/2.17
% 10.24/2.17 ------ iProver source info
% 10.24/2.17
% 10.24/2.17 git: date: 2023-05-31 18:12:56 +0000
% 10.24/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.24/2.17 git: non_committed_changes: false
% 10.24/2.17 git: last_make_outside_of_git: false
% 10.24/2.17
% 10.24/2.17 ------ Parsing...
% 10.24/2.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.24/2.17
% 10.24/2.17 ------ Preprocessing... sup_sim: 13 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 10.24/2.17
% 10.24/2.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.24/2.17
% 10.24/2.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.24/2.17 ------ Proving...
% 10.24/2.17 ------ Problem Properties
% 10.24/2.17
% 10.24/2.17
% 10.24/2.17 clauses 622
% 10.24/2.17 conjectures 1
% 10.24/2.17 EPR 35
% 10.24/2.17 Horn 481
% 10.24/2.17 unary 130
% 10.24/2.17 binary 268
% 10.24/2.17 lits 1418
% 10.24/2.17 lits eq 285
% 10.24/2.17 fd_pure 0
% 10.24/2.17 fd_pseudo 0
% 10.24/2.17 fd_cond 0
% 10.24/2.17 fd_pseudo_cond 74
% 10.24/2.17 AC symbols 0
% 10.24/2.17
% 10.24/2.17 ------ Schedule dynamic 5 is on
% 10.24/2.17
% 10.24/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.24/2.17
% 10.24/2.17
% 10.24/2.17 ------
% 10.24/2.17 Current options:
% 10.24/2.17 ------
% 10.24/2.17
% 10.24/2.17
% 10.24/2.17
% 10.24/2.17
% 10.24/2.17 ------ Proving...
% 10.24/2.17
% 10.24/2.17
% 10.24/2.17 % SZS status Theorem for theBenchmark.p
% 10.24/2.17
% 10.24/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.24/2.17
% 10.24/2.18
%------------------------------------------------------------------------------