TSTP Solution File: NUM992_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM992_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 : n002.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 1.31s 0.69s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 46
% Syntax : Number of formulae : 108 ( 61 unt; 30 typ; 0 def)
% Number of atoms : 102 ( 40 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 15 |; 1 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 17 ( 11 >; 6 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 82 ( 65 !; 0 ?; 82 :)
% ( 17 !>; 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(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > int ).
tff(func_def_7,type,
pls: int ).
tff(func_def_8,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_9,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
fFalse: bool ).
tff(func_def_11,type,
fTrue: bool ).
tff(func_def_12,type,
m1: int ).
tff(func_def_13,type,
n: nat ).
tff(func_def_14,type,
t: int ).
tff(func_def_15,type,
sK0: ( int * int ) > nat ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
pp: bool > $o ).
tff(f2253,plain,
$false,
inference(subsumption_resolution,[],[f2251,f1370]) ).
tff(f1370,plain,
ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),
inference(backward_demodulation,[],[f493,f1363]) ).
tff(f1363,plain,
! [X0: nat] : ( semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0)) = plus_plus(int,one_one(int),semiring_1_of_nat(int,X0)) ),
inference(superposition,[],[f411,f319]) ).
tff(f319,plain,
one_one(int) = semiring_1_of_nat(int,one_one(nat)),
inference(cnf_transformation,[],[f87]) ).
tff(f87,axiom,
one_one(int) = semiring_1_of_nat(int,one_one(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_int__1) ).
tff(f411,plain,
! [X0: nat,X1: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X1,X0)) = plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: nat,X1: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X1,X0)) = plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
inference(rectify,[],[f84]) ).
tff(f84,axiom,
! [X23: nat,X24: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X24,X23)) = plus_plus(int,semiring_1_of_nat(int,X24),semiring_1_of_nat(int,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_zadd__int) ).
tff(f493,plain,
ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
inference(backward_demodulation,[],[f321,f491]) ).
tff(f491,plain,
zero_zero(int) = pls,
inference(forward_demodulation,[],[f490,f327]) ).
tff(f327,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f97]) ).
tff(f97,axiom,
! [X6: int] : ( number_number_of(int,X6) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_number__of__is__id) ).
tff(f490,plain,
zero_zero(int) = number_number_of(int,pls),
inference(resolution,[],[f333,f304]) ).
tff(f304,plain,
number_ring(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f333,plain,
! [X0: $tType] :
( ~ number_ring(X0)
| ( zero_zero(X0) = number_number_of(X0,pls) ) ),
inference(cnf_transformation,[],[f196]) ).
tff(f196,plain,
! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f43]) ).
tff(f43,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( zero_zero(X0) = number_number_of(X0,pls) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_number__of__Pls) ).
tff(f321,plain,
ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
tff(f2251,plain,
~ ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),
inference(resolution,[],[f2240,f501]) ).
tff(f501,plain,
! [X0: nat] :
( ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,pls,semiring_1_of_nat(int,X0)) ),
inference(backward_demodulation,[],[f399,f491]) ).
tff(f399,plain,
! [X0: nat] :
( ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0)) ),
inference(cnf_transformation,[],[f269]) ).
tff(f269,plain,
! [X0: nat] :
( ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
| ~ ord_less(nat,zero_zero(nat),X0) )
& ( ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0)) ) ),
inference(nnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: nat] :
( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
<=> ord_less(nat,zero_zero(nat),X0) ),
inference(rectify,[],[f78]) ).
tff(f78,axiom,
! [X19: nat] :
( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X19))
<=> ord_less(nat,zero_zero(nat),X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_zero__less__int__conv) ).
tff(f2240,plain,
~ ord_less(nat,zero_zero(nat),plus_plus(nat,one_one(nat),n)),
inference(subsumption_resolution,[],[f2234,f1377]) ).
tff(f1377,plain,
ord_less(int,minus_minus(int,plus_plus(int,pls,bit0(semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)))),times_times(int,bit0(bit0(one_one(int))),m1)),pls),
inference(backward_demodulation,[],[f1088,f1363]) ).
tff(f1088,plain,
ord_less(int,minus_minus(int,plus_plus(int,pls,bit0(plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),times_times(int,bit0(bit0(one_one(int))),m1)),pls),
inference(backward_demodulation,[],[f531,f1085]) ).
tff(f1085,plain,
! [X0: int] : ( plus_plus(int,pls,bit0(X0)) = times_times(int,bit0(one_one(int)),X0) ),
inference(forward_demodulation,[],[f1084,f837]) ).
tff(f837,plain,
! [X0: int] : ( bit0(plus_plus(int,pls,X0)) = plus_plus(int,pls,bit0(X0)) ),
inference(superposition,[],[f409,f313]) ).
tff(f313,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f29]) ).
tff(f29,axiom,
pls = bit0(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_Bit0__Pls) ).
tff(f409,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X5: int,X6: int] : ( plus_plus(int,bit0(X6),bit0(X5)) = bit0(plus_plus(int,X6,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_add__Bit0__Bit0) ).
tff(f1084,plain,
! [X0: int] : ( bit0(plus_plus(int,pls,X0)) = times_times(int,bit0(one_one(int)),X0) ),
inference(superposition,[],[f403,f1083]) ).
tff(f1083,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,one_one(int),X0) ),
inference(forward_demodulation,[],[f1082,f516]) ).
tff(f516,plain,
one_one(int) = bit1(pls),
inference(superposition,[],[f515,f327]) ).
tff(f515,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(resolution,[],[f334,f304]) ).
tff(f334,plain,
! [X0: $tType] :
( ~ number_ring(X0)
| ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
inference(cnf_transformation,[],[f197]) ).
tff(f197,plain,
! [X0: $tType] :
( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_numeral__1__eq__1) ).
tff(f1082,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,bit1(pls),X0) ),
inference(forward_demodulation,[],[f1070,f328]) ).
tff(f328,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X1: int] : ( pls = times_times(int,pls,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_mult__Pls) ).
tff(f1070,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = plus_plus(int,times_times(int,pls,X0),X0) ),
inference(superposition,[],[f481,f313]) ).
tff(f481,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,times_times(int,bit0(X1),X0),X0) ),
inference(forward_demodulation,[],[f410,f403]) ).
tff(f410,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X5: int,X6: int] : ( times_times(int,bit1(X6),X5) = plus_plus(int,bit0(times_times(int,X6,X5)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_mult__Bit1) ).
tff(f403,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X5: int,X6: int] : ( bit0(times_times(int,X6,X5)) = times_times(int,bit0(X6),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_mult__Bit0) ).
tff(f531,plain,
ord_less(int,minus_minus(int,times_times(int,bit0(one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(one_one(int))),m1)),pls),
inference(backward_demodulation,[],[f504,f516]) ).
tff(f504,plain,
ord_less(int,minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1)),pls),
inference(backward_demodulation,[],[f478,f491]) ).
tff(f478,plain,
ord_less(int,minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1)),zero_zero(int)),
inference(forward_demodulation,[],[f476,f327]) ).
tff(f476,plain,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1)),zero_zero(int)),
inference(backward_demodulation,[],[f323,f327]) ).
tff(f323,plain,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),zero_zero(int)),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),zero_zero(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__0962_A_K_A_I1_A_L_Aint_An_J_A_N_A4_A_K_Am1_A_060_A0_096) ).
tff(f2234,plain,
( ~ ord_less(nat,zero_zero(nat),plus_plus(nat,one_one(nat),n))
| ~ ord_less(int,minus_minus(int,plus_plus(int,pls,bit0(semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)))),times_times(int,bit0(bit0(one_one(int))),m1)),pls) ),
inference(resolution,[],[f461,f1376]) ).
tff(f1376,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),minus_minus(int,plus_plus(int,pls,bit0(semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(backward_demodulation,[],[f1087,f1363]) ).
tff(f1087,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,plus_plus(int,pls,bit0(plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(backward_demodulation,[],[f532,f1085]) ).
tff(f532,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(backward_demodulation,[],[f505,f516]) ).
tff(f505,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(backward_demodulation,[],[f479,f491]) ).
tff(f479,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f477,f327]) ).
tff(f477,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(backward_demodulation,[],[f297,f327]) ).
tff(f297,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(flattening,[],[f114]) ).
tff(f114,negated_conjecture,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f461,plain,
! [X2: int,X0: nat,X1: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(cnf_transformation,[],[f241]) ).
tff(f241,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(flattening,[],[f240]) ).
tff(f240,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(ennf_transformation,[],[f194]) ).
tff(f194,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,X2,X1)
=> ( ord_less(nat,zero_zero(nat),X0)
=> ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1)) ) ),
inference(rectify,[],[f79]) ).
tff(f79,axiom,
! [X6: nat,X20: int,X21: int] :
( ord_less(int,X21,X20)
=> ( ord_less(nat,zero_zero(nat),X6)
=> ord_less(int,times_times(int,semiring_1_of_nat(int,X6),X21),times_times(int,semiring_1_of_nat(int,X6),X20)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_zmult__zless__mono2__lemma) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM992_5 : TPTP v8.1.2. Released v6.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:39:39 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (6277)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (6283)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)
% 0.16/0.35 % (6280)WARNING: value z3 for option sas not known
% 0.16/0.35 % (6284)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)
% 0.16/0.35 % (6284)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.36 % (6280)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)
% 0.16/0.37 % (6282)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)
% 0.16/0.37 % (6281)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (6279)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % Exception at run slice level
% 0.16/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40 % (6278)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40 % Exception at run slice level
% 0.16/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40 % Exception at run slice level
% 0.16/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.41 % (6285)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.16/0.41 % (6285)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.41 % Exception at run slice level
% 0.16/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.42 % (6288)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)
% 0.16/0.44 % (6286)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)
% 0.16/0.44 % (6286)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.47 % (6287)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)
% 1.31/0.67 % (6287)First to succeed.
% 1.31/0.69 % (6287)Refutation found. Thanks to Tanya!
% 1.31/0.69 % SZS status Theorem for theBenchmark
% 1.31/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.69 % (6287)------------------------------
% 1.31/0.69 % (6287)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.31/0.69 % (6287)Termination reason: Refutation
% 1.31/0.69
% 1.31/0.69 % (6287)Memory used [KB]: 1903
% 1.31/0.69 % (6287)Time elapsed: 0.244 s
% 1.31/0.69 % (6287)Instructions burned: 124 (million)
% 1.31/0.69 % (6287)------------------------------
% 1.31/0.69 % (6287)------------------------------
% 1.31/0.69 % (6277)Success in time 0.367 s
%------------------------------------------------------------------------------