TSTP Solution File: NUM925+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 11:33:43 EDT 2023
% Result : Theorem 88.12s 18.50s
% Output : CNFRefutation 88.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 151 ( 118 unt; 0 def)
% Number of atoms : 198 ( 119 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 87 ( 40 ~; 32 |; 4 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 10 con; 0-2 aty)
% Number of variables : 173 ( 1 sgn; 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos) ).
fof(f45,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_one__add__one__is__two) ).
fof(f48,axiom,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_semiring__one__add__one__is__two) ).
fof(f94,axiom,
! [X26,X27,X28] : plus_plus_int(plus_plus_int(X26,X27),X28) = plus_plus_int(X26,plus_plus_int(X27,X28)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_zadd__assoc) ).
fof(f96,axiom,
! [X17,X14] : plus_plus_int(X17,X14) = plus_plus_int(X14,X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_zadd__commute) ).
fof(f118,axiom,
! [X5] :
( is_int(X5)
=> ( zero_zero_int = plus_plus_int(X5,X5)
<=> zero_zero_int = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_double__eq__0__iff) ).
fof(f126,axiom,
pls = bit0(pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_Bit0__Pls) ).
fof(f127,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_Pls__def) ).
fof(f132,axiom,
! [X21] : bit0(X21) = plus_plus_int(X21,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Bit0__def) ).
fof(f157,axiom,
! [X21] : bit1(X21) = plus_plus_int(plus_plus_int(one_one_int,X21),X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Bit1__def) ).
fof(f208,axiom,
! [X15,X16] : plus_plus_nat(X15,X16) = plus_plus_nat(X16,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_nat__add__commute) ).
fof(f210,axiom,
! [X15,X16,X21] : plus_plus_nat(plus_plus_nat(X15,X16),X21) = plus_plus_nat(X15,plus_plus_nat(X16,X21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_nat__add__assoc) ).
fof(f232,axiom,
! [X16] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X16),zero_zero_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_not__less0) ).
fof(f368,axiom,
! [X114,X115,X116] : plus_plus_real(plus_plus_real(X114,X115),X116) = plus_plus_real(X114,plus_plus_real(X115,X116)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_ab__semigroup__add__class_Oadd__ac_I1_J) ).
fof(f380,axiom,
! [X126,X127] : plus_plus_real(X126,X127) = plus_plus_real(X127,X126),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f443,axiom,
! [X156,X157] : times_times_int(X156,X157) = times_times_int(X157,X156),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_414_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(f444,axiom,
! [X156,X157] : times_times_nat(X156,X157) = times_times_nat(X157,X156),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_415_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(f445,axiom,
! [X156,X157] : times_times_real(X156,X157) = times_times_real(X157,X156),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_416_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(f449,axiom,
! [X161,X162,X163] : times_times_int(X161,times_times_int(X162,X163)) = times_times_int(times_times_int(X161,X162),X163),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_420_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(f450,axiom,
! [X161,X162,X163] : times_times_nat(X161,times_times_nat(X162,X163)) = times_times_nat(times_times_nat(X161,X162),X163),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_421_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(f451,axiom,
! [X161,X162,X163] : times_times_real(X161,times_times_real(X162,X163)) = times_times_real(times_times_real(X161,X162),X163),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_422_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(f613,axiom,
! [X55] :
( zero_zero_nat = nat(X55)
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X55),zero_zero_int)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_584_nat__0__iff) ).
fof(f795,axiom,
! [X14] : nat(number_number_of_int(X14)) = number_number_of_nat(X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_766_nat__number__of) ).
fof(f835,axiom,
! [X30] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X30))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_806_int__one__le__iff__zero__less) ).
fof(f844,axiom,
! [X30] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X30)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_815_zero__less__nat__eq) ).
fof(f854,axiom,
! [X8] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X8),hAPP_nat_int(power_power_int(X8),number_number_of_nat(bit0(bit1(pls)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_825_power2__ge__self) ).
fof(f1233,conjecture,
zero_zero_int != hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1234,negated_conjecture,
~ ( zero_zero_int != hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) ),
inference(negated_conjecture,[],[f1233]) ).
fof(f1272,plain,
! [X0,X1,X2] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
inference(rectify,[],[f94]) ).
fof(f1274,plain,
! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
inference(rectify,[],[f96]) ).
fof(f1294,plain,
! [X0] :
( is_int(X0)
=> ( zero_zero_int = plus_plus_int(X0,X0)
<=> zero_zero_int = X0 ) ),
inference(rectify,[],[f118]) ).
fof(f1305,plain,
! [X0] : bit0(X0) = plus_plus_int(X0,X0),
inference(rectify,[],[f132]) ).
fof(f1323,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(rectify,[],[f157]) ).
fof(f1362,plain,
! [X0,X1] : plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0),
inference(rectify,[],[f208]) ).
fof(f1364,plain,
! [X0,X1,X2] : plus_plus_nat(X0,plus_plus_nat(X1,X2)) = plus_plus_nat(plus_plus_nat(X0,X1),X2),
inference(rectify,[],[f210]) ).
fof(f1386,plain,
! [X0] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X0),zero_zero_nat)),
inference(rectify,[],[f232]) ).
fof(f1502,plain,
! [X0,X1,X2] : plus_plus_real(plus_plus_real(X0,X1),X2) = plus_plus_real(X0,plus_plus_real(X1,X2)),
inference(rectify,[],[f368]) ).
fof(f1514,plain,
! [X0,X1] : plus_plus_real(X1,X0) = plus_plus_real(X0,X1),
inference(rectify,[],[f380]) ).
fof(f1574,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(rectify,[],[f443]) ).
fof(f1575,plain,
! [X0,X1] : times_times_nat(X0,X1) = times_times_nat(X1,X0),
inference(rectify,[],[f444]) ).
fof(f1576,plain,
! [X0,X1] : times_times_real(X0,X1) = times_times_real(X1,X0),
inference(rectify,[],[f445]) ).
fof(f1580,plain,
! [X0,X1,X2] : times_times_int(X0,times_times_int(X1,X2)) = times_times_int(times_times_int(X0,X1),X2),
inference(rectify,[],[f449]) ).
fof(f1581,plain,
! [X0,X1,X2] : times_times_nat(X0,times_times_nat(X1,X2)) = times_times_nat(times_times_nat(X0,X1),X2),
inference(rectify,[],[f450]) ).
fof(f1582,plain,
! [X0,X1,X2] : times_times_real(X0,times_times_real(X1,X2)) = times_times_real(times_times_real(X0,X1),X2),
inference(rectify,[],[f451]) ).
fof(f1744,plain,
! [X0] :
( zero_zero_nat = nat(X0)
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),zero_zero_int)) ),
inference(rectify,[],[f613]) ).
fof(f1922,plain,
! [X0] : number_number_of_nat(X0) = nat(number_number_of_int(X0)),
inference(rectify,[],[f795]) ).
fof(f1960,plain,
! [X0] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0)) ),
inference(rectify,[],[f835]) ).
fof(f1968,plain,
! [X0] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0)) ),
inference(rectify,[],[f844]) ).
fof(f1974,plain,
! [X0] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))))),
inference(rectify,[],[f854]) ).
fof(f2320,plain,
zero_zero_int = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
inference(flattening,[],[f1234]) ).
fof(f2358,plain,
! [X0] :
( ( zero_zero_int = plus_plus_int(X0,X0)
<=> zero_zero_int = X0 )
| ~ is_int(X0) ),
inference(ennf_transformation,[],[f1294]) ).
fof(f3218,plain,
! [X0] :
( ( ( zero_zero_int = plus_plus_int(X0,X0)
| zero_zero_int != X0 )
& ( zero_zero_int = X0
| zero_zero_int != plus_plus_int(X0,X0) ) )
| ~ is_int(X0) ),
inference(nnf_transformation,[],[f2358]) ).
fof(f3372,plain,
! [X0] :
( ( zero_zero_nat = nat(X0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),zero_zero_int)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),zero_zero_int))
| zero_zero_nat != nat(X0) ) ),
inference(nnf_transformation,[],[f1744]) ).
fof(f3481,plain,
! [X0] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0)) ) ),
inference(nnf_transformation,[],[f1960]) ).
fof(f3485,plain,
! [X0] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0))) ) ),
inference(nnf_transformation,[],[f1968]) ).
fof(f3707,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
inference(cnf_transformation,[],[f29]) ).
fof(f3729,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(cnf_transformation,[],[f45]) ).
fof(f3732,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnf_transformation,[],[f48]) ).
fof(f3800,plain,
! [X2,X0,X1] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
inference(cnf_transformation,[],[f1272]) ).
fof(f3802,plain,
! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
inference(cnf_transformation,[],[f1274]) ).
fof(f3844,plain,
! [X0] :
( zero_zero_int = plus_plus_int(X0,X0)
| zero_zero_int != X0
| ~ is_int(X0) ),
inference(cnf_transformation,[],[f3218]) ).
fof(f3855,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f126]) ).
fof(f3856,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f127]) ).
fof(f3861,plain,
! [X0] : bit0(X0) = plus_plus_int(X0,X0),
inference(cnf_transformation,[],[f1305]) ).
fof(f3892,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(cnf_transformation,[],[f1323]) ).
fof(f3962,plain,
! [X0,X1] : plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0),
inference(cnf_transformation,[],[f1362]) ).
fof(f3964,plain,
! [X2,X0,X1] : plus_plus_nat(X0,plus_plus_nat(X1,X2)) = plus_plus_nat(plus_plus_nat(X0,X1),X2),
inference(cnf_transformation,[],[f1364]) ).
fof(f4001,plain,
! [X0] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X0),zero_zero_nat)),
inference(cnf_transformation,[],[f1386]) ).
fof(f4187,plain,
! [X2,X0,X1] : plus_plus_real(plus_plus_real(X0,X1),X2) = plus_plus_real(X0,plus_plus_real(X1,X2)),
inference(cnf_transformation,[],[f1502]) ).
fof(f4199,plain,
! [X0,X1] : plus_plus_real(X1,X0) = plus_plus_real(X0,X1),
inference(cnf_transformation,[],[f1514]) ).
fof(f4285,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(cnf_transformation,[],[f1574]) ).
fof(f4286,plain,
! [X0,X1] : times_times_nat(X0,X1) = times_times_nat(X1,X0),
inference(cnf_transformation,[],[f1575]) ).
fof(f4287,plain,
! [X0,X1] : times_times_real(X0,X1) = times_times_real(X1,X0),
inference(cnf_transformation,[],[f1576]) ).
fof(f4291,plain,
! [X2,X0,X1] : times_times_int(X0,times_times_int(X1,X2)) = times_times_int(times_times_int(X0,X1),X2),
inference(cnf_transformation,[],[f1580]) ).
fof(f4292,plain,
! [X2,X0,X1] : times_times_nat(X0,times_times_nat(X1,X2)) = times_times_nat(times_times_nat(X0,X1),X2),
inference(cnf_transformation,[],[f1581]) ).
fof(f4293,plain,
! [X2,X0,X1] : times_times_real(X0,times_times_real(X1,X2)) = times_times_real(times_times_real(X0,X1),X2),
inference(cnf_transformation,[],[f1582]) ).
fof(f4519,plain,
! [X0] :
( zero_zero_nat = nat(X0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),zero_zero_int)) ),
inference(cnf_transformation,[],[f3372]) ).
fof(f4777,plain,
! [X0] : number_number_of_nat(X0) = nat(number_number_of_int(X0)),
inference(cnf_transformation,[],[f1922]) ).
fof(f4855,plain,
! [X0] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0)) ),
inference(cnf_transformation,[],[f3481]) ).
fof(f4856,plain,
! [X0] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0)) ),
inference(cnf_transformation,[],[f3481]) ).
fof(f4869,plain,
! [X0] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X0)) ),
inference(cnf_transformation,[],[f3485]) ).
fof(f4884,plain,
! [X0] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))))),
inference(cnf_transformation,[],[f1974]) ).
fof(f5480,plain,
zero_zero_int = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f2320]) ).
fof(f5485,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
inference(definition_unfolding,[],[f3707,f3856]) ).
fof(f5506,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(definition_unfolding,[],[f3729,f3861,f3892]) ).
fof(f5509,plain,
plus_plus_nat(one_one_nat,one_one_nat) = nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(definition_unfolding,[],[f3732,f4777,f3861,f3892]) ).
fof(f5582,plain,
! [X0] :
( pls = plus_plus_int(X0,X0)
| pls != X0
| ~ is_int(X0) ),
inference(definition_unfolding,[],[f3844,f3856,f3856]) ).
fof(f5592,plain,
pls = plus_plus_int(pls,pls),
inference(definition_unfolding,[],[f3855,f3861]) ).
fof(f5761,plain,
! [X0] :
( zero_zero_nat = nat(X0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),pls)) ),
inference(definition_unfolding,[],[f4519,f3856]) ).
fof(f5886,plain,
! [X0] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X0)) ),
inference(definition_unfolding,[],[f4856,f3856]) ).
fof(f5887,plain,
! [X0] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X0))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0)) ),
inference(definition_unfolding,[],[f4855,f3856]) ).
fof(f5893,plain,
! [X0] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X0)) ),
inference(definition_unfolding,[],[f4869,f3856]) ).
fof(f5905,plain,
! [X0] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(definition_unfolding,[],[f4884,f4777,f3861,f3892]) ).
fof(f6104,plain,
pls = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(definition_unfolding,[],[f5480,f3856,f4777,f3861,f3892]) ).
fof(f6124,plain,
( pls = plus_plus_int(pls,pls)
| ~ is_int(pls) ),
inference(equality_resolution,[],[f5582]) ).
cnf(c_77,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
inference(cnf_transformation,[],[f5485]) ).
cnf(c_99,plain,
number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = plus_plus_int(one_one_int,one_one_int),
inference(cnf_transformation,[],[f5506]) ).
cnf(c_102,plain,
nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnf_transformation,[],[f5509]) ).
cnf(c_164,plain,
plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
inference(cnf_transformation,[],[f3800]) ).
cnf(c_166,plain,
plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
inference(cnf_transformation,[],[f3802]) ).
cnf(c_206,plain,
( ~ is_int(pls)
| plus_plus_int(pls,pls) = pls ),
inference(cnf_transformation,[],[f6124]) ).
cnf(c_218,plain,
plus_plus_int(pls,pls) = pls,
inference(cnf_transformation,[],[f5592]) ).
cnf(c_322,plain,
plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0),
inference(cnf_transformation,[],[f3962]) ).
cnf(c_324,plain,
plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)),
inference(cnf_transformation,[],[f3964]) ).
cnf(c_356,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X0),zero_zero_nat)),
inference(cnf_transformation,[],[f4001]) ).
cnf(c_524,plain,
plus_plus_real(plus_plus_real(X0,X1),X2) = plus_plus_real(X0,plus_plus_real(X1,X2)),
inference(cnf_transformation,[],[f4187]) ).
cnf(c_536,plain,
plus_plus_real(X0,X1) = plus_plus_real(X1,X0),
inference(cnf_transformation,[],[f4199]) ).
cnf(c_616,plain,
times_times_int(X0,X1) = times_times_int(X1,X0),
inference(cnf_transformation,[],[f4285]) ).
cnf(c_617,plain,
times_times_nat(X0,X1) = times_times_nat(X1,X0),
inference(cnf_transformation,[],[f4286]) ).
cnf(c_618,plain,
times_times_real(X0,X1) = times_times_real(X1,X0),
inference(cnf_transformation,[],[f4287]) ).
cnf(c_622,plain,
times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)),
inference(cnf_transformation,[],[f4291]) ).
cnf(c_623,plain,
times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)),
inference(cnf_transformation,[],[f4292]) ).
cnf(c_624,plain,
times_times_real(times_times_real(X0,X1),X2) = times_times_real(X0,times_times_real(X1,X2)),
inference(cnf_transformation,[],[f4293]) ).
cnf(c_849,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),pls))
| nat(X0) = zero_zero_nat ),
inference(cnf_transformation,[],[f5761]) ).
cnf(c_1178,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X0))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0)) ),
inference(cnf_transformation,[],[f5886]) ).
cnf(c_1179,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X0)) ),
inference(cnf_transformation,[],[f5887]) ).
cnf(c_1190,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X0))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0))) ),
inference(cnf_transformation,[],[f5893]) ).
cnf(c_1204,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(cnf_transformation,[],[f5905]) ).
cnf(c_1760,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = pls,
inference(cnf_transformation,[],[f6104]) ).
cnf(c_2445,plain,
plus_plus_int(pls,pls) = pls,
inference(global_subsumption_just,[status(thm)],[c_206,c_218]) ).
cnf(c_2599,plain,
number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))) = plus_plus_int(one_one_int,one_one_int),
inference(theory_normalisation,[status(thm)],[c_99,c_624,c_618,c_623,c_617,c_324,c_322,c_524,c_536,c_622,c_616,c_164,c_166]) ).
cnf(c_2601,plain,
nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))))))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(theory_normalisation,[status(thm)],[c_102,c_624,c_618,c_623,c_617,c_324,c_322,c_524,c_536,c_622,c_616,c_164,c_166]) ).
cnf(c_2681,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))))))),
inference(theory_normalisation,[status(thm)],[c_1204,c_624,c_618,c_623,c_617,c_324,c_322,c_524,c_536,c_622,c_616,c_164,c_166]) ).
cnf(c_2770,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))))) = pls,
inference(theory_normalisation,[status(thm)],[c_1760,c_624,c_618,c_623,c_617,c_324,c_322,c_524,c_536,c_622,c_616,c_164,c_166]) ).
cnf(c_3005,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0))) ),
inference(prop_impl_just,[status(thm)],[c_1179,c_1190]) ).
cnf(c_11977,plain,
number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))) = plus_plus_int(one_one_int,one_one_int),
inference(ac_demodulation,[status(thm)],[c_2599,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_11978,plain,
number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))) = plus_plus_int(one_one_int,one_one_int),
inference(ac_demodulation,[status(thm)],[c_11977,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_11979,plain,
number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))) = plus_plus_int(one_one_int,one_one_int),
inference(ac_demodulation,[status(thm)],[c_11978,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_11980,plain,
number_number_of_int(plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))) = plus_plus_int(one_one_int,one_one_int),
inference(theory_normalisation,[status(thm)],[c_11979,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12497,plain,
nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls)))))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(ac_demodulation,[status(thm)],[c_2601,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12498,plain,
nat(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(ac_demodulation,[status(thm)],[c_12497,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12499,plain,
nat(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls)))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(ac_demodulation,[status(thm)],[c_12498,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12500,plain,
nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(theory_normalisation,[status(thm)],[c_12499,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12501,plain,
nat(plus_plus_int(one_one_int,one_one_int)) = plus_plus_nat(one_one_nat,one_one_nat),
inference(light_normalisation,[status(thm)],[c_12500,c_11980]) ).
cnf(c_12923,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))))),
inference(ac_demodulation,[status(thm)],[c_2681,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12924,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),
inference(ac_demodulation,[status(thm)],[c_12923,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12925,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))),
inference(ac_demodulation,[status(thm)],[c_12924,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12926,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))))))),
inference(theory_normalisation,[status(thm)],[c_12925,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_12927,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),hAPP_nat_int(power_power_int(X0),plus_plus_nat(one_one_nat,one_one_nat)))),
inference(light_normalisation,[status(thm)],[c_12926,c_11980,c_12501]) ).
cnf(c_13503,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))) = pls,
inference(ac_demodulation,[status(thm)],[c_2770,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_13504,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))) = pls,
inference(ac_demodulation,[status(thm)],[c_13503,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_13505,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))) = pls,
inference(ac_demodulation,[status(thm)],[c_13504,c_2445,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_13506,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))))) = pls,
inference(theory_normalisation,[status(thm)],[c_13505,c_164,c_166,c_622,c_616,c_524,c_536,c_324,c_322,c_623,c_617,c_624,c_618]) ).
cnf(c_13507,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_nat(one_one_nat,one_one_nat)) = pls,
inference(light_normalisation,[status(thm)],[c_13506,c_11980,c_12501]) ).
cnf(c_28013,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(X0))) ),
inference(prop_impl_just,[status(thm)],[c_3005]) ).
cnf(c_58988,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_153839,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),pls)),
inference(superposition,[status(thm)],[c_13507,c_12927]) ).
cnf(c_156299,plain,
nat(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))) = zero_zero_nat,
inference(superposition,[status(thm)],[c_153839,c_849]) ).
cnf(c_175075,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),zero_zero_nat)) ),
inference(superposition,[status(thm)],[c_156299,c_28013]) ).
cnf(c_175117,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
inference(forward_subsumption_resolution,[status(thm)],[c_175075,c_356]) ).
cnf(c_175158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_175117,c_58988,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.25 % Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.26 % Command : run_iprover %s %d THM
% 0.09/0.51 % Computer : n006.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8042.1875MB
% 0.09/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Fri Aug 25 08:59:38 EDT 2023
% 0.09/0.51 % CPUTime :
% 0.16/0.84 Running first-order theorem proving
% 0.16/0.84 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 88.12/18.50 % SZS status Started for theBenchmark.p
% 88.12/18.50 % SZS status Theorem for theBenchmark.p
% 88.12/18.50
% 88.12/18.50 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 88.12/18.50
% 88.12/18.50 ------ iProver source info
% 88.12/18.50
% 88.12/18.50 git: date: 2023-05-31 18:12:56 +0000
% 88.12/18.50 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 88.12/18.50 git: non_committed_changes: false
% 88.12/18.50 git: last_make_outside_of_git: false
% 88.12/18.50
% 88.12/18.50 ------ Parsing...
% 88.12/18.50 ------ Clausification by vclausify_rel & Parsing by iProver...
% 88.12/18.50
% 88.12/18.50 ------ Preprocessing... sup_sim: 199 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 88.12/18.50
% 88.12/18.50 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 88.12/18.50
% 88.12/18.50 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 88.12/18.50 ------ Proving...
% 88.12/18.50 ------ Problem Properties
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50 clauses 1032
% 88.12/18.50 conjectures 0
% 88.12/18.50 EPR 29
% 88.12/18.50 Horn 898
% 88.12/18.50 unary 270
% 88.12/18.50 binary 384
% 88.12/18.50 lits 2379
% 88.12/18.50 lits eq 500
% 88.12/18.50 fd_pure 0
% 88.12/18.50 fd_pseudo 0
% 88.12/18.50 fd_cond 74
% 88.12/18.50 fd_pseudo_cond 52
% 88.12/18.50 AC symbols 6
% 88.12/18.50
% 88.12/18.50 ------ Schedule dynamic 5 is on
% 88.12/18.50
% 88.12/18.50 ------ no conjectures: strip conj schedule
% 88.12/18.50
% 88.12/18.50 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50 ------
% 88.12/18.50 Current options:
% 88.12/18.50 ------
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50 ------ Proving...
% 88.12/18.50 Proof_search_loop: time out after: 3470 full_loop iterations
% 88.12/18.50
% 88.12/18.50 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50 ------
% 88.12/18.50 Current options:
% 88.12/18.50 ------
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50 ------ Proving...
% 88.12/18.50
% 88.12/18.50
% 88.12/18.50 % SZS status Theorem for theBenchmark.p
% 88.12/18.50
% 88.12/18.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 88.12/18.50
% 88.12/18.51
%------------------------------------------------------------------------------