TSTP Solution File: NUM996_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM996_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue Apr 30 14:39:23 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 47
% Syntax : Number of formulae : 118 ( 65 unt; 33 typ; 0 def)
% Number of atoms : 105 ( 76 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 42 ~; 10 |; 0 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 11 ( 8 >; 3 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 111 ( 90 !; 0 ?; 111 :)
% ( 21 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
real: $tType ).
tff(func_def_0,type,
abs_abs:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
bit0: int > int ).
tff(func_def_4,type,
bit1: int > int ).
tff(func_def_5,type,
pls: int ).
tff(func_def_6,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_8,type,
fFalse: bool ).
tff(func_def_9,type,
fTrue: bool ).
tff(func_def_10,type,
v: int ).
tff(func_def_11,type,
w: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comm_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ordere142940540dd_abs:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
pp: bool > $o ).
tff(f1235,plain,
$false,
inference(subsumption_resolution,[],[f1234,f734]) ).
tff(f734,plain,
! [X0: int,X1: int] : ( bit0(bit0(plus_plus(int,X1,X0))) = bit0(bit0(plus_plus(int,X0,X1))) ),
inference(forward_demodulation,[],[f696,f459]) ).
tff(f459,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(cnf_transformation,[],[f229]) ).
tff(f229,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X4: int,X5: int] : ( plus_plus(int,bit0(X5),bit0(X4)) = bit0(plus_plus(int,X5,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_add__Bit0__Bit0) ).
tff(f696,plain,
! [X0: int,X1: int] : ( bit0(plus_plus(int,bit0(X1),bit0(X0))) = bit0(bit0(plus_plus(int,X0,X1))) ),
inference(superposition,[],[f678,f459]) ).
tff(f678,plain,
! [X0: int,X1: int] : ( bit0(plus_plus(int,X1,X0)) = bit0(plus_plus(int,X0,X1)) ),
inference(superposition,[],[f623,f459]) ).
tff(f623,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X0,X1)) ),
inference(superposition,[],[f459,f538]) ).
tff(f538,plain,
! [X0: int,X1: int] : ( plus_plus(int,X1,X0) = plus_plus(int,X0,X1) ),
inference(resolution,[],[f425,f366]) ).
tff(f366,plain,
comm_semiring_1(int),
inference(cnf_transformation,[],[f106]) ).
tff(f106,axiom,
comm_semiring_1(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).
tff(f425,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( plus_plus(X0,X2,X1) = plus_plus(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f281]) ).
tff(f281,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( plus_plus(X0,X2,X1) = plus_plus(X0,X1,X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f198]) ).
tff(f198,plain,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( plus_plus(X0,X2,X1) = plus_plus(X0,X1,X2) ) ),
inference(rectify,[],[f79]) ).
tff(f79,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X15: X0,X3: X0] : ( plus_plus(X0,X3,X15) = plus_plus(X0,X15,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f1234,plain,
bit0(bit0(plus_plus(int,times_times(int,w,w),times_times(int,v,v)))) != bit0(bit0(plus_plus(int,times_times(int,v,v),times_times(int,w,w)))),
inference(forward_demodulation,[],[f1233,f1219]) ).
tff(f1219,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))) = times_times(int,X0,X0) ),
inference(resolution,[],[f413,f363]) ).
tff(f363,plain,
monoid_mult(int),
inference(cnf_transformation,[],[f109]) ).
tff(f109,axiom,
monoid_mult(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Omonoid__mult) ).
tff(f413,plain,
! [X0: $tType,X1: X0] :
( ~ monoid_mult(X0)
| ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
inference(cnf_transformation,[],[f272]) ).
tff(f272,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X1: X0] : ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X3: X0] : ( power_power(X0,X3,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_power2__eq__square) ).
tff(f1233,plain,
bit0(bit0(plus_plus(int,times_times(int,v,v),times_times(int,w,w)))) != bit0(bit0(plus_plus(int,times_times(int,w,w),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))))),
inference(forward_demodulation,[],[f1232,f678]) ).
tff(f1232,plain,
bit0(bit0(plus_plus(int,times_times(int,v,v),times_times(int,w,w)))) != bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),times_times(int,w,w)))),
inference(forward_demodulation,[],[f1231,f1219]) ).
tff(f1231,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != bit0(bit0(plus_plus(int,times_times(int,v,v),times_times(int,w,w)))),
inference(forward_demodulation,[],[f1230,f734]) ).
tff(f1230,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != bit0(bit0(plus_plus(int,times_times(int,w,w),times_times(int,v,v)))),
inference(forward_demodulation,[],[f1229,f1059]) ).
tff(f1059,plain,
! [X0: int] : ( times_times(int,X0,X0) = times_times(int,abs_abs(int,X0),abs_abs(int,X0)) ),
inference(resolution,[],[f384,f331]) ).
tff(f331,plain,
linordered_idom(int),
inference(cnf_transformation,[],[f105]) ).
tff(f105,axiom,
linordered_idom(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Olinordered__idom) ).
tff(f384,plain,
! [X0: $tType,X1: X0] :
( ~ linordered_idom(X0)
| ( times_times(X0,X1,X1) = times_times(X0,abs_abs(X0,X1),abs_abs(X0,X1)) ) ),
inference(cnf_transformation,[],[f247]) ).
tff(f247,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,X1,X1) = times_times(X0,abs_abs(X0,X1),abs_abs(X0,X1)) )
| ~ linordered_idom(X0) ),
inference(ennf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X1: X0] : ( times_times(X0,X1,X1) = times_times(X0,abs_abs(X0,X1),abs_abs(X0,X1)) ) ),
inference(rectify,[],[f62]) ).
tff(f62,axiom,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X3: X0] : ( times_times(X0,X3,X3) = times_times(X0,abs_abs(X0,X3),abs_abs(X0,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_abs__mult__self) ).
tff(f1229,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != bit0(bit0(plus_plus(int,times_times(int,w,w),times_times(int,abs_abs(int,v),abs_abs(int,v))))),
inference(forward_demodulation,[],[f1228,f459]) ).
tff(f1228,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != bit0(plus_plus(int,bit0(times_times(int,w,w)),bit0(times_times(int,abs_abs(int,v),abs_abs(int,v))))),
inference(forward_demodulation,[],[f1227,f572]) ).
tff(f572,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X0,X1)) = times_times(int,X1,bit0(X0)) ),
inference(superposition,[],[f550,f457]) ).
tff(f457,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f227]) ).
tff(f227,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X4: int,X5: int] : ( bit0(times_times(int,X5,X4)) = times_times(int,bit0(X5),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_mult__Bit0) ).
tff(f550,plain,
! [X0: int,X1: int] : ( times_times(int,X1,X0) = times_times(int,X0,X1) ),
inference(resolution,[],[f426,f366]) ).
tff(f426,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f282]) ).
tff(f282,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f199]) ).
tff(f199,plain,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(rectify,[],[f70]) ).
tff(f70,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X6: X0,X3: X0] : ( times_times(X0,X3,X6) = times_times(X0,X6,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f1227,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != bit0(plus_plus(int,bit0(times_times(int,w,w)),times_times(int,abs_abs(int,v),bit0(abs_abs(int,v))))),
inference(forward_demodulation,[],[f1226,f459]) ).
tff(f1226,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,bit0(bit0(times_times(int,w,w))),bit0(times_times(int,abs_abs(int,v),bit0(abs_abs(int,v))))),
inference(forward_demodulation,[],[f1225,f572]) ).
tff(f1225,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,bit0(bit0(times_times(int,w,w))),times_times(int,bit0(abs_abs(int,v)),bit0(abs_abs(int,v)))),
inference(forward_demodulation,[],[f1224,f1219]) ).
tff(f1224,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,bit0(bit0(times_times(int,w,w))),power_power(int,bit0(abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f1223,f538]) ).
tff(f1223,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,power_power(int,bit0(abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),bit0(bit0(times_times(int,w,w)))),
inference(forward_demodulation,[],[f1222,f1059]) ).
tff(f1222,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,power_power(int,bit0(abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),bit0(bit0(times_times(int,abs_abs(int,w),abs_abs(int,w))))),
inference(forward_demodulation,[],[f1221,f572]) ).
tff(f1221,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,power_power(int,bit0(abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),bit0(times_times(int,abs_abs(int,w),bit0(abs_abs(int,w))))),
inference(forward_demodulation,[],[f1220,f572]) ).
tff(f1220,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,power_power(int,bit0(abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),times_times(int,bit0(abs_abs(int,w)),bit0(abs_abs(int,w)))),
inference(backward_demodulation,[],[f535,f1219]) ).
tff(f535,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,power_power(int,bit0(abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f534,f531]) ).
tff(f531,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = X0 ),
inference(forward_demodulation,[],[f530,f370]) ).
tff(f370,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X5: int] : ( number_number_of(int,X5) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_number__of__is__id) ).
tff(f530,plain,
! [X0: int] : ( times_times(int,number_number_of(int,bit1(pls)),X0) = X0 ),
inference(resolution,[],[f390,f333]) ).
tff(f333,plain,
number_ring(int),
inference(cnf_transformation,[],[f111]) ).
tff(f111,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f390,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(cnf_transformation,[],[f253]) ).
tff(f253,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X3: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X3) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_mult__numeral__1) ).
tff(f534,plain,
bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))) != plus_plus(int,power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,v))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f533,f531]) ).
tff(f533,plain,
plus_plus(int,power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,v))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,w))),number_number_of(nat,bit0(bit1(pls))))) != bit0(bit0(plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))),
inference(backward_demodulation,[],[f506,f531]) ).
tff(f506,plain,
plus_plus(int,power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,v))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,w))),number_number_of(nat,bit0(bit1(pls))))) != bit0(bit0(times_times(int,bit1(pls),plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))),
inference(backward_demodulation,[],[f497,f473]) ).
tff(f473,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,X2,plus_plus(int,X1,X0)) = plus_plus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(cnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0: int,X1: int,X2: int] : ( times_times(int,X2,plus_plus(int,X1,X0)) = plus_plus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X18: int,X19: int,X2: int] : ( times_times(int,X2,plus_plus(int,X19,X18)) = plus_plus(int,times_times(int,X2,X19),times_times(int,X2,X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_int__distrib_I2_J) ).
tff(f497,plain,
plus_plus(int,power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,v))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,w))),number_number_of(nat,bit0(bit1(pls))))) != bit0(bit0(plus_plus(int,times_times(int,bit1(pls),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))),
inference(forward_demodulation,[],[f496,f459]) ).
tff(f496,plain,
plus_plus(int,power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,v))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,w))),number_number_of(nat,bit0(bit1(pls))))) != bit0(plus_plus(int,bit0(times_times(int,bit1(pls),power_power(int,v,number_number_of(nat,bit0(bit1(pls)))))),bit0(times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))),
inference(backward_demodulation,[],[f495,f459]) ).
tff(f495,plain,
plus_plus(int,bit0(bit0(times_times(int,bit1(pls),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))))),bit0(bit0(times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))) != plus_plus(int,power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,v))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,w))),number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f494,f457]) ).
tff(f494,plain,
plus_plus(int,bit0(bit0(times_times(int,bit1(pls),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))))),bit0(bit0(times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))) != plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,bit0(times_times(int,bit1(pls),abs_abs(int,w))),number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f493,f457]) ).
tff(f493,plain,
plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,bit0(bit0(times_times(int,bit1(pls),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))))),bit0(bit0(times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))),
inference(forward_demodulation,[],[f492,f457]) ).
tff(f492,plain,
plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),power_power(int,v,number_number_of(nat,bit0(bit1(pls)))))),bit0(bit0(times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))),
inference(forward_demodulation,[],[f491,f457]) ).
tff(f491,plain,
plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),bit0(bit0(times_times(int,bit1(pls),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))),
inference(forward_demodulation,[],[f490,f457]) ).
tff(f490,plain,
plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),bit0(times_times(int,bit0(bit1(pls)),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))))),
inference(backward_demodulation,[],[f489,f457]) ).
tff(f489,plain,
plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,bit0(bit0(bit1(pls))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),
inference(forward_demodulation,[],[f488,f370]) ).
tff(f488,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) != plus_plus(int,power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,bit0(bit1(pls)),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(backward_demodulation,[],[f323,f370]) ).
tff(f323,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) != plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f144]) ).
tff(f144,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) != plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(flattening,[],[f143]) ).
tff(f143,negated_conjecture,
( ~ plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) = plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) ),
inference(negated_conjecture,[],[f142]) ).
tff(f142,conjecture,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) = plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM996_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:04:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (23579)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (23580)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (23583)WARNING: value z3 for option sas not known
% 0.13/0.38 % (23581)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (23584)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (23585)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (23583)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (23586)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (23587)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % Exception at run slice level% (23587)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (23588)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.39 % (23588)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.40 % (23589)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.40 % (23590)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.40 % (23589)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.40 % (23591)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.20/0.43 % (23590)First to succeed.
% 0.20/0.43 % (23590)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (23590)------------------------------
% 0.20/0.44 % (23590)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.44 % (23590)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (23590)Memory used [KB]: 1256
% 0.20/0.44 % (23590)Time elapsed: 0.060 s
% 0.20/0.44 % (23590)Instructions burned: 69 (million)
% 0.20/0.44 % (23590)------------------------------
% 0.20/0.44 % (23590)------------------------------
% 0.20/0.44 % (23579)Success in time 0.068 s
%------------------------------------------------------------------------------